
Time bar (total: 10.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 48.3% | 45.2% | 48.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 53% | 48.4% | 42.9% | 0.1% | 0% | 8.6% | 0% | 9 |
| 58.1% | 50.3% | 36.3% | 0.1% | 0% | 13.3% | 0% | 10 |
| 66.1% | 56.8% | 29.1% | 0.1% | 0% | 14% | 0% | 11 |
| 70.4% | 58.8% | 24.7% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 19 to 14 computations (26.3% saved)
| 532.0ms | 5 570× | 0 | valid |
| 291.0ms | 1 343× | 1 | valid |
| 260.0ms | 1 164× | 2 | valid |
| 68.0ms | 927× | 0 | invalid |
| 48.0ms | 179× | 3 | valid |
ival-mult: 227.0ms (27.5% of total)ival-sqrt: 121.0ms (14.7% of total)ival-div: 117.0ms (14.2% of total)ival-add: 115.0ms (14% of total)adjust: 88.0ms (10.7% of total)ival-sub: 86.0ms (10.4% of total)ival-neg: 52.0ms (6.3% of total)ival-true: 8.0ms (1% of total)exact: 6.0ms (0.7% of total)ival-assert: 4.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 95 | 0 | - | 2 | (-9.455741672408575e-216 4.949703354563516e-159 4.1430577418285e-222) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 62 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 16 | 0 | - | 2 | (1.1792710337986409e-192 1.550455345219243e-87 3.115336369062e-210) | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 6 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) | oflow-rescue | 89 | 0 |
| ↳ | (*.f64 b b) | overflow | 77 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | overflow | 25 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | overflow | 89 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | cancellation | 62 | 0 |
/.f64 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | u/n | 13 | 0 |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | underflow | 42 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | underflow | 4 | |
| ↳ | (*.f64 b b) | underflow | 40 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | underflow | 31 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | nan-rescue | 6 | 0 |
| ↳ | (*.f64 b b) | overflow | 77 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | overflow | 25 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) | uflow-rescue | 4 | 0 |
| ↳ | (*.f64 b b) | underflow | 40 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | underflow | 42 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | underflow | 4 | |
/.f64 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | o/n | 1 | 0 |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | overflow | 25 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | overflow | 89 | |
| ↳ | (*.f64 b b) | overflow | 77 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 118 | 0 |
| - | 16 | 122 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 118 | 0 | 0 |
| - | 16 | 0 | 122 |
| number | freq |
|---|---|
| 0 | 122 |
| 1 | 98 |
| 2 | 31 |
| 3 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 30.0ms | 328× | 0 | valid |
| 21.0ms | 80× | 1 | valid |
| 20.0ms | 90× | 2 | valid |
| 4.0ms | 14× | 3 | valid |
Compiled 156 to 40 computations (74.4% saved)
adjust: 11.0ms (22.6% of total)ival-mult: 11.0ms (22.6% of total)ival-add: 7.0ms (14.4% of total)ival-div: 6.0ms (12.3% of total)ival-sqrt: 6.0ms (12.3% of total)ival-sub: 4.0ms (8.2% of total)ival-neg: 2.0ms (4.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 562× | div-sub |
| 1 088× | lower-fma.f64 |
| 1 088× | lower-fma.f32 |
| 996× | sub-neg |
| 712× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 158 |
| 1 | 152 | 144 |
| 2 | 433 | 144 |
| 3 | 1173 | 144 |
| 4 | 3171 | 144 |
| 5 | 6061 | 144 |
| 0 | 12 | 17 |
| 0 | 20 | 17 |
| 1 | 36 | 16 |
| 2 | 73 | 16 |
| 3 | 156 | 16 |
| 4 | 236 | 16 |
| 5 | 374 | 16 |
| 6 | 650 | 16 |
| 7 | 1103 | 16 |
| 8 | 2241 | 16 |
| 9 | 2510 | 16 |
| 10 | 2621 | 16 |
| 11 | 2676 | 16 |
| 12 | 2677 | 16 |
| 13 | 2677 | 16 |
| 0 | 2677 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
Compiled 20 to 12 computations (40% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 20 to 12 computations (40% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 1 088× | lower-fma.f64 |
| 1 088× | lower-fma.f32 |
| 712× | lower-*.f32 |
| 706× | lower-*.f64 |
| 430× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 66 |
| 0 | 20 | 66 |
| 1 | 36 | 64 |
| 2 | 73 | 64 |
| 3 | 156 | 64 |
| 4 | 236 | 64 |
| 5 | 374 | 64 |
| 6 | 650 | 64 |
| 7 | 1103 | 64 |
| 8 | 2241 | 64 |
| 9 | 2510 | 64 |
| 10 | 2621 | 64 |
| 11 | 2676 | 64 |
| 12 | 2677 | 64 |
| 13 | 2677 | 64 |
| 0 | 2677 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) (*.f64 a c)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.1953125000000002 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| accuracy | 3.494491524526686 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 13.935882293283127 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | |
| accuracy | 21.913569084911643 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 20.0ms | 164× | 0 | valid |
| 10.0ms | 45× | 2 | valid |
| 6.0ms | 40× | 1 | valid |
| 2.0ms | 7× | 3 | valid |
Compiled 68 to 14 computations (79.4% saved)
ival-mult: 5.0ms (25.4% of total)adjust: 3.0ms (15.2% of total)ival-div: 3.0ms (15.2% of total)ival-sqrt: 3.0ms (15.2% of total)ival-sub: 2.0ms (10.1% of total)ival-add: 2.0ms (10.1% of total)ival-neg: 1.0ms (5.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 b) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 b) (taylor -inf b) (#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 b) (taylor -inf b) (#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor 0 b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) (taylor 0 b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) (taylor 0 b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) (taylor inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 b) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -3/2 (/ (* a c) b))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -3/2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ()) |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | -inf | (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
| 2.0ms | b | @ | 0 | (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
| 1.0ms | a | @ | -inf | (sqrt (- (* b b) (* (* 3 a) c))) |
| 1.0ms | c | @ | inf | (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
| 1.0ms | b | @ | inf | (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 1× | egg-herbie |
| 10 788× | lower-fma.f64 |
| 10 788× | lower-fma.f32 |
| 7 910× | lower-*.f64 |
| 7 910× | lower-*.f32 |
| 2 502× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 560 | 3466 |
| 1 | 1767 | 3443 |
| 2 | 6215 | 3400 |
| 0 | 8264 | 3230 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -3 (* a c)) |
(- (pow b 2) (* 3 (* a c))) |
(- (pow b 2) (* 3 (* a c))) |
(- (pow b 2) (* 3 (* a c))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* -3 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* -3 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
| Outputs |
|---|
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b)) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64)) (fma.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (*.f64 (*.f64 a c) #s(literal -3/2 binary64))))) b) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(neg.f64 (*.f64 b (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)) #s(literal 2 binary64)))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)) #s(literal 2 binary64))) (neg.f64 b)) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64)) (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)) #s(literal 2 binary64)))) (neg.f64 b)) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 a (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(*.f64 a (-.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))))) (/.f64 b a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 b)) a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 b b))) (sqrt.f64 #s(literal 3 binary64)))) a) b) a)) (neg.f64 a)) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) |
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(* (sqrt (* a c)) (sqrt -3)) |
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(- (pow b 2) (* 3 (* a c))) |
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(pow b 2) |
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(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
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(pow b 2) |
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(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(pow b 2) |
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(pow b 2) |
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(* (sqrt (* a c)) (sqrt -3)) |
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b |
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(* -1 b) |
(neg.f64 b) |
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b |
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(* (sqrt (* a c)) (sqrt -3)) |
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b |
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(* (sqrt (* a c)) (sqrt -3)) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(*.f64 c (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(*.f64 c (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))))))) |
| 4 876× | lower-fma.f64 |
| 4 876× | lower-fma.f32 |
| 3 870× | lower-*.f32 |
| 3 864× | lower-*.f64 |
| 2 328× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 51 |
| 0 | 20 | 51 |
| 1 | 71 | 49 |
| 2 | 525 | 48 |
| 3 | 6836 | 48 |
| 0 | 8125 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| Outputs |
|---|
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(+.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) |
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(+.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(+.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b) |
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) b) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) |
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(-.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b) |
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 b #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 #s(literal 1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1/2 binary64)) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) b) |
(fma.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) b) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) b) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 (/.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(fma.f64 (/.f64 (*.f64 b b) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(neg.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 a c)) (*.f64 a c) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 a c)) (*.f64 a c) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 a c)) (*.f64 a c) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
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(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (neg.f64 a))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)) |
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a)) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) a) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 #s(literal -1/3 binary64) a)) |
(*.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (neg.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
b |
(+.f64 b #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) b) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) b) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b) |
(-.f64 (/.f64 #s(literal 0 binary64) b) b) |
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64)) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(neg.f64 b) |
(/.f64 (*.f64 b b) b) |
(/.f64 (*.f64 b (*.f64 b b)) (*.f64 b b)) |
(/.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b))) |
(pow.f64 b #s(literal 1 binary64)) |
(*.f64 b #s(literal 1 binary64)) |
(*.f64 b #s(literal -1 binary64)) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 #s(literal 1 binary64) b) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64))) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(fabs.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 0 binary64)) |
(/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))) |
(/.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) (+.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64))) |
(pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 a c)) (*.f64 a c) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
Compiled 22 670 to 2 107 computations (90.7% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 576 | 17 | 593 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 577 | 17 | 594 |
| Status | Accuracy | Program |
|---|---|---|
| 24.9% | (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) | |
| ▶ | 56.2% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
| 31.6% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) | |
| 56.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 31.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 33.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 31.6% | (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a) | |
| ▶ | 27.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
| 33.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) a)) | |
| 56.1% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) | |
| ▶ | 31.6% | (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
| ▶ | 31.6% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))) |
| 56.1% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) | |
| 33.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))) b)) | |
| 38.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) | |
| ▶ | 34.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) |
| 32.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
Compiled 588 to 386 computations (34.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) | |
| cost-diff | 0 | (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) a) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) | |
| cost-diff | 0 | (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) | |
| cost-diff | 0 | (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 0 | (*.f64 b #s(literal -2/3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) | |
| cost-diff | 384 | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
| 2 352× | lower-fma.f32 |
| 2 350× | lower-fma.f64 |
| 1 688× | lower-*.f32 |
| 1 670× | lower-*.f64 |
| 774× | unsub-neg |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 309 |
| 0 | 60 | 307 |
| 1 | 108 | 301 |
| 2 | 213 | 301 |
| 3 | 449 | 301 |
| 4 | 790 | 301 |
| 5 | 1462 | 301 |
| 6 | 2702 | 301 |
| 7 | 3909 | 301 |
| 8 | 5011 | 301 |
| 9 | 5198 | 301 |
| 10 | 5228 | 301 |
| 11 | 5245 | 301 |
| 12 | 5247 | 301 |
| 13 | 5253 | 301 |
| 14 | 5273 | 301 |
| 15 | 5281 | 301 |
| 16 | 5281 | 301 |
| 17 | 5385 | 301 |
| 18 | 5589 | 301 |
| 19 | 5621 | 301 |
| 20 | 5621 | 301 |
| 0 | 5621 | 301 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
a |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(*.f64 b #s(literal -2/3 binary64)) |
b |
#s(literal -2/3 binary64) |
a |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
(*.f64 (*.f64 a c) #s(literal -3/2 binary64)) |
(*.f64 a c) |
a |
c |
#s(literal -3/2 binary64) |
b |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
a |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
#s(literal 1/3 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (*.f64 a #s(literal -3 binary64))) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) a) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
b |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
a |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(*.f64 b #s(literal -2/3 binary64)) |
b |
#s(literal -2/3 binary64) |
a |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 a #s(literal 3 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
(*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b)) |
(*.f64 (*.f64 a c) #s(literal -3/2 binary64)) |
(*.f64 a (*.f64 c #s(literal -3/2 binary64))) |
(*.f64 a c) |
a |
c |
#s(literal -3/2 binary64) |
b |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) a) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
b |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
a |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
#s(literal 1/3 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) |
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) #s(literal 1/3 binary64)) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
b |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
#s(literal 1/3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.29296875 | (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) | |
| accuracy | 3.178640594515022 | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))) | |
| accuracy | 12.485100085055585 | (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) | |
| accuracy | 21.91356908491164 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) | |
| accuracy | 0.29296875 | (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) | |
| accuracy | 3.055425137033395 | (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) | |
| accuracy | 12.485100085055585 | (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) | |
| accuracy | 21.91356908491164 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) | |
| accuracy | 0.1953125 | (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) | |
| accuracy | 3.494491524526686 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 5.958467102368093 | (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) | |
| accuracy | 39.61330898845471 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) | |
| accuracy | 0.15234375 | (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) | |
| accuracy | 0.296875 | (*.f64 b #s(literal -2/3 binary64)) | |
| accuracy | 42.13716625898087 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) | |
| accuracy | 0.234375 | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) | |
| accuracy | 3.386840317579716 | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) | |
| accuracy | 13.935882293283127 | (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) | |
| accuracy | 21.91356908491164 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
| 52.0ms | 79× | 2 | valid |
| 43.0ms | 80× | 1 | valid |
| 22.0ms | 83× | 0 | valid |
| 11.0ms | 14× | 3 | valid |
Compiled 304 to 37 computations (87.8% saved)
ival-mult: 24.0ms (29.6% of total)ival-div: 19.0ms (23.4% of total)adjust: 11.0ms (13.6% of total)ival-sqrt: 7.0ms (8.6% of total)const: 7.0ms (8.6% of total)ival-add: 7.0ms (8.6% of total)ival-sub: 5.0ms (6.2% of total)exact: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ()) |
#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (patch (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) #<representation binary64>) () ()) |
#s(alt (*.f64 b #s(literal -2/3 binary64)) (patch (*.f64 b #s(literal -2/3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (patch (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) (patch (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ()) |
#s(alt (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2/3 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a)) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) (taylor inf a) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) (taylor -inf a) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))) (taylor inf b) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) (taylor inf b) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ c b)) (taylor -inf b) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)) (taylor -inf b) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) (taylor -inf b) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2/3 (/ b a)) (taylor 0 a) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a) (taylor 0 a) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) (taylor 0 a) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a) (taylor 0 a) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) (taylor inf a) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) (taylor inf a) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))) (taylor inf a) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2/3 (/ b a)) (taylor 0 c) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* 2/3 (/ b a))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))) (taylor inf c) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))) (taylor inf c) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))))) (taylor inf c) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (sqrt -3)) (taylor 0 b) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)) (taylor 0 b) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (+ (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ b a)) (taylor inf b) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))) (taylor inf b) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))) (taylor inf b) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) (taylor inf b) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 (/ c b)) (taylor -inf b) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)) (taylor -inf b) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
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#s(alt (* c (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c)))) (taylor inf c) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c))))) (taylor inf c) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c)))))) (taylor inf c) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
135 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | c | @ | -inf | (/ (* (* a c) -3/2) b) |
| 2.0ms | c | @ | -inf | (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) |
| 2.0ms | b | @ | 0 | (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) |
| 1.0ms | a | @ | 0 | (/ (* (* a c) -3/2) b) |
| 1.0ms | b | @ | inf | (/ (* (* a c) -3/2) b) |
| 1× | egg-herbie |
| 9 010× | lower-fma.f64 |
| 9 010× | lower-fma.f32 |
| 6 846× | lower-+.f64 |
| 6 846× | lower-+.f32 |
| 6 420× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1097 | 12305 |
| 1 | 3647 | 12203 |
| 0 | 8217 | 11655 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 a)))) |
(* 3/2 (/ c b)) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) |
(* 2 (/ b a)) |
(* -1 (* b (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (* 3/2 (/ c (pow b 2)))) (* 2 (/ 1 a))))) |
(* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 3/2 (/ c (pow b 2))) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))))) (* 2 (/ 1 a))))) |
(* 3/2 (/ c b)) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))) |
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5)))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)))) |
(* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) |
(+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)) |
(+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* 3/2 (/ c b)) |
(* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* 27/16 (/ (* (pow a 2) c) (pow b 5))))) (* 3/2 (/ 1 b)))) |
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* c (+ (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (* 3/2 (/ 1 b)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (/ b (* a c)))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b (* a c))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b (* a c)))))) |
(* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (/ b a)) c))))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(- b (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(* 3/2 (/ (* a c) b)) |
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b) |
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* 2 b) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 3/2 (/ (* a c) b)) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* 3/2 (/ (* a c) b)) |
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* 2/3 (/ b a)) |
(* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))) |
(* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* 1/2 (/ c b)) |
(* -1 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(* 2/3 (/ b a)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) |
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) |
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))) |
(+ (* -1 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* 2/3 (/ b a)) |
(+ (* -1/2 (/ c b)) (* 2/3 (/ b a))) |
(+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* 2/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))) |
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))) |
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)) |
(+ (* b (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (+ (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(* 2 (/ b a)) |
(* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))) |
(* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* 3/2 (/ c b)) |
(* -1 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(* 2 (/ b a)) |
(/ (+ (* -3/2 (/ (* a c) b)) (* 2 b)) a) |
(/ (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) a) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (/ b a)) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 b) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) |
(* 2 (/ b a)) |
(+ (* -3/2 (/ c b)) (* 2 (/ b a))) |
(+ (* 2 (/ b a)) (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) |
(+ (* 2 (/ b a)) (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c)))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c)))))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ b (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(* 2 b) |
(* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 3/2 (/ (* a c) b)) |
(* -1 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 2 b) |
(+ (* -3/2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* 2 b) |
(+ (* -3/2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* 2/3 (/ b a)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) |
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) |
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))) |
(+ (* -1 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* 2/3 (/ b a)) |
(* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))) |
(* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* 1/2 (/ c b)) |
(* -1 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(* 2/3 (/ b a)) |
(+ (* -1/2 (/ c b)) (* 2/3 (/ b a))) |
(+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* 2/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))) |
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))) |
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3))))))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))))) |
(* 2/3 b) |
(* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))) |
(* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 1/2 (/ (* a c) b)) |
(* -1 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 2/3 b) |
(+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) |
(+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) |
(* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))) |
(* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* 2/3 b) |
(+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) |
(+ (* 2/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2/3 b) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* c (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c)))) |
(* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c))))) |
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c)))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
| Outputs |
|---|
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a)) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))))) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) b) |
(* -2/3 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(*.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))) (neg.f64 b)) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(neg.f64 (*.f64 b (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))))) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a)) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) b)) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) b) (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))))) a)) a)) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) b))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) (*.f64 a b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) b))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(*.f64 c (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) (*.f64 c a)))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(*.f64 c (fma.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) (*.f64 c a))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(*.f64 c (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) (*.f64 c a)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a)) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(neg.f64 (*.f64 c (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) a) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))))) c)) c)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -3))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a)) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -3 binary64))) (/.f64 b a)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a)))) |
(fma.f64 b (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 a)))) |
(fma.f64 b (fma.f64 b (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) a)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))) |
(* 3/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal 3/2 binary64)) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b) |
(/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 9/8 binary64) (*.f64 c #s(literal 3/2 binary64))) b) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal 27/16 binary64) (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 9/8 binary64) (*.f64 c #s(literal 3/2 binary64)))) b) |
(/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal 27/16 binary64) (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 9/8 binary64) (*.f64 c #s(literal 3/2 binary64))))) b) |
(* 2 (/ b a)) |
(/.f64 (*.f64 b #s(literal 2 binary64)) a) |
(* -1 (* b (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 3/2 binary64) (/.f64 #s(literal -2 binary64) a)) (neg.f64 b)) |
(* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (* 3/2 (/ c (pow b 2)))) (* 2 (/ 1 a))))) |
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(/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) |
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(* -1 (* (sqrt (* a c)) (sqrt -3))) |
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b |
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(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b) |
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(* (sqrt (* a c)) (sqrt -3)) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
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b |
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(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b) |
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(* (sqrt (* a c)) (sqrt -3)) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
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(* (sqrt (* a c)) (sqrt -3)) |
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b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
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(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 b) |
(neg.f64 b) |
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(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
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(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
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(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
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(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a))) |
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) |
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(*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) b)) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) b) (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))))) a)) a)) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) b))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
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(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
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(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
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(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))) |
(+ (* 1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) b)) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3))))))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) #s(literal 1/3 binary64)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))))) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))))) |
(* 2/3 b) |
(*.f64 b #s(literal 2/3 binary64)) |
(* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))) |
(*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 2/3 binary64))) |
(* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(*.f64 b (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 2/3 binary64)))) |
(* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 b (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 2/3 binary64))))) |
(* 1/2 (/ (* a c) b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b) |
(* -1 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) (*.f64 c a))) (neg.f64 b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) (*.f64 c a)))) (neg.f64 b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) (*.f64 c a))))) (neg.f64 b)) |
(* 2/3 b) |
(*.f64 b #s(literal 2/3 binary64)) |
(+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 b #s(literal 2/3 binary64))) |
(+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b)))) (*.f64 b #s(literal 2/3 binary64))) |
(+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) (*.f64 b #s(literal 2/3 binary64))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* a (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) |
(*.f64 a (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a)))) |
(* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))) |
(*.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a))))) |
(* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))))) |
(*.f64 a (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a)))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) b)) a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) b) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))))) a)) a)) (neg.f64 a)) |
(* 2/3 b) |
(*.f64 b #s(literal 2/3 binary64)) |
(+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 b #s(literal 2/3 binary64))) |
(+ (* 2/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) (/.f64 a b))) (*.f64 b #s(literal 2/3 binary64))) |
(+ (* 2/3 b) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 a b))) (*.f64 b #s(literal 2/3 binary64))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* c (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c)))) |
(*.f64 c (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))) |
(* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c))))) |
(*.f64 c (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b c))))) |
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c)))))) |
(*.f64 c (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b c)) (*.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b c))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) b)) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(neg.f64 (*.f64 c (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c)))) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 c))) c)))) |
| 4 968× | lower-fma.f32 |
| 4 966× | lower-fma.f64 |
| 3 228× | lower-*.f32 |
| 3 210× | lower-*.f64 |
| 2 552× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 209 |
| 0 | 60 | 207 |
| 1 | 209 | 201 |
| 2 | 1517 | 201 |
| 0 | 9166 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(*.f64 b #s(literal -2/3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
(*.f64 (*.f64 a c) #s(literal -3/2 binary64)) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) a) |
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 b (*.f64 a #s(literal -3 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -3 binary64))))) |
(+.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) a) #s(literal -1/3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 b (*.f64 a #s(literal -3 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -3 binary64))) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) a) #s(literal -1/3 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal -3 binary64))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(/.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 3 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))) (neg.f64 (*.f64 #s(literal 3 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))) #s(literal 1/3 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 (*.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))) #s(literal 1/3 binary64))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) b) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) b) (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) b) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) b)) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) b))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 b #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b #s(literal 1/3 binary64)) (*.f64 b #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64))) (*.f64 (*.f64 b #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 b #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 b #s(literal 1/3 binary64)) (*.f64 b #s(literal 1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 b #s(literal 1/3 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) b)) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (-.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) b))) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) b))) |
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1/3 binary64)) (*.f64 b #s(literal 1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)))) (-.f64 (*.f64 b #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64))) (*.f64 (*.f64 b #s(literal 1/3 binary64)) (*.f64 b #s(literal 1/3 binary64)))) (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 b #s(literal 1/3 binary64)))) |
(pow.f64 (/.f64 #s(literal -3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) |
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))) |
(*.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(*.f64 #s(literal -1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(*.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 3 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/3 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
Compiled 70 750 to 4 286 computations (93.9% saved)
31 alts after pruning (29 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 080 | 24 | 2 104 |
| Fresh | 7 | 5 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 090 | 31 | 2 121 |
| Status | Accuracy | Program |
|---|---|---|
| 39.5% | (/.f64 (/.f64 (-.f64 (*.f64 b (/.f64 a (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a) (*.f64 a (/.f64 a (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -3 binary64)) | |
| 37.3% | (/.f64 (/.f64 (-.f64 (*.f64 b a) (*.f64 a (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a a)) #s(literal -3 binary64)) | |
| 33.7% | (/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a) #s(literal -3 binary64)) | |
| 31.6% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) | |
| ▶ | 56.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
| 33.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 31.6% | (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a) | |
| ▶ | 27.9% | (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) |
| 27.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 31.6% | (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
| 13.7% | (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) | |
| 31.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal 1/3 binary64)) | |
| 56.1% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) #s(literal 1/3 binary64))) | |
| 2.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))) | |
| 56.1% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) | |
| 2.3% | (*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (fma.f64 (/.f64 b a) #s(literal 2 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) #s(literal 1/3 binary64)) | |
| ▶ | 13.8% | (*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) |
| ▶ | 32.2% | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
| 38.1% | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) | |
| 32.9% | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) | |
| 34.0% | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) | |
| 34.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) | |
| ✓ | 34.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) |
| 34.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64)))) | |
| 34.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) | |
| 34.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))) | |
| 34.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) | |
| 15.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64)))) | |
| 2.5% | #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) | |
| ▶ | 13.8% | #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
| 2.2% | #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
Compiled 895 to 584 computations (34.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) | |
| cost-diff | 0 | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) | |
| cost-diff | 320 | (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) c) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/2 binary64) c) b) | |
| cost-diff | 0 | #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) |
| 4 776× | lower-fma.f32 |
| 4 772× | lower-fma.f64 |
| 2 808× | lower-*.f32 |
| 2 784× | lower-*.f64 |
| 1 118× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 328 |
| 0 | 83 | 324 |
| 1 | 147 | 316 |
| 2 | 269 | 316 |
| 3 | 524 | 316 |
| 4 | 938 | 313 |
| 5 | 1511 | 313 |
| 6 | 3088 | 313 |
| 7 | 5888 | 313 |
| 8 | 7497 | 313 |
| 9 | 7995 | 313 |
| 0 | 8024 | 310 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b) |
(*.f64 #s(literal 1/2 binary64) c) |
#s(literal 1/2 binary64) |
c |
b |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) |
#s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal 3/2 binary64)) |
(/.f64 c b) |
c |
b |
#s(literal 3/2 binary64) |
#s(literal 1/3 binary64) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) |
(*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) |
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) |
(*.f64 a (*.f64 c #s(literal -3/2 binary64))) |
a |
(*.f64 c #s(literal -3/2 binary64)) |
c |
#s(literal -3/2 binary64) |
b |
#s(literal 1/3 binary64) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) |
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) |
#s(literal -3/8 binary64) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(*.f64 a (*.f64 c c)) |
a |
(*.f64 c c) |
c |
(*.f64 b b) |
b |
(*.f64 c #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 c (/.f64 #s(literal 1/2 binary64) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b) |
(*.f64 c (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) c) |
(*.f64 c #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
c |
b |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (/.f64 #s(literal 3/2 binary64) b)))) |
#s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) |
#s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (/.f64 #s(literal 3/2 binary64) b))) |
(*.f64 (/.f64 c b) #s(literal 3/2 binary64)) |
(*.f64 c (/.f64 #s(literal 3/2 binary64) b)) |
(/.f64 c b) |
c |
b |
#s(literal 3/2 binary64) |
#s(literal 1/3 binary64) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) |
(*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) |
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) |
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) |
(*.f64 a (*.f64 c #s(literal -3/2 binary64))) |
(*.f64 c (*.f64 a #s(literal -3/2 binary64))) |
a |
(*.f64 c #s(literal -3/2 binary64)) |
c |
#s(literal -3/2 binary64) |
b |
#s(literal 1/3 binary64) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64))) b)) |
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) |
(/.f64 (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64))) b) |
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) |
(*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64))) |
#s(literal -3/8 binary64) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(*.f64 a (*.f64 c c)) |
a |
(*.f64 c c) |
c |
(*.f64 b b) |
b |
(*.f64 c #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.48260313178661257 | (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) | |
| accuracy | 6.339558719785279 | (*.f64 a (*.f64 c c)) | |
| accuracy | 14.634570932256967 | (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) | |
| accuracy | 39.822212758959736 | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) | |
| accuracy | 0.4480296024048812 | (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) | |
| accuracy | 3.155730135419142 | (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) | |
| accuracy | 5.958467102368093 | (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) | |
| accuracy | 39.61330898845471 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) | |
| accuracy | 0 | (/.f64 c b) | |
| accuracy | 0.26171875 | (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) | |
| accuracy | 0.29296875 | (*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) | |
| accuracy | 42.33319769901391 | #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) | |
| accuracy | 0 | (/.f64 (*.f64 #s(literal 1/2 binary64) c) b) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) c) | |
| accuracy | 42.33456386965722 | #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) | |
| accuracy | 0.05859375 | (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) | |
| accuracy | 3.494491524526686 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 13.935882293283127 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) | |
| accuracy | 21.913569084911643 | (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
| 125.0ms | 83× | 0 | valid |
| 84.0ms | 75× | 2 | valid |
| 42.0ms | 83× | 1 | valid |
| 13.0ms | 15× | 3 | valid |
Compiled 277 to 52 computations (81.2% saved)
ival-div: 84.0ms (41.8% of total)ival-mult: 36.0ms (17.9% of total)ival-add: 22.0ms (10.9% of total)ival-sqrt: 21.0ms (10.4% of total)ival-sub: 16.0ms (8% of total)adjust: 16.0ms (8% of total)const: 4.0ms (2% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) c) b) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) c) b) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) c) (patch (*.f64 #s(literal 1/2 binary64) c) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) (patch #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) (patch (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) (patch (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) (patch (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) (patch (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 b) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) (taylor -inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor 0 b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -3/2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) (taylor -inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor 0 b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) (taylor 0 b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) (taylor 0 b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) (taylor inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 b) (taylor -inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) (taylor 0 b) (#s(alt #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) (taylor 0 b) (#s(alt #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) (taylor 0 b) (#s(alt #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 2/3 (/ b a)) (taylor inf b) (#s(alt #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))) (taylor inf b) (#s(alt #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))) (taylor inf b) (#s(alt #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) (taylor inf b) (#s(alt #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ c b)) (taylor -inf b) (#s(alt #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)) (taylor -inf b) (#s(alt #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) (taylor -inf b) (#s(alt #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 2/3 (/ b a)) (taylor 0 a) (#s(alt #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a) (taylor 0 a) (#s(alt #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) (taylor 0 a) (#s(alt #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)) (taylor -inf b) (#s(alt #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) (patch #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -2/3 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) (taylor -inf c) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) (taylor 0 b) (#s(alt (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) (taylor 0 b) (#s(alt (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) (taylor 0 b) (#s(alt (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ (* a c) b)) (taylor inf b) (#s(alt (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (taylor inf c) (#s(alt (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) (taylor inf c) (#s(alt (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) (taylor inf c) (#s(alt (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) (taylor inf c) (#s(alt (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) (taylor -inf c) (#s(alt (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* -3/2 (/ (* a c) b)) (taylor inf b) (#s(alt (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) (patch (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor inf b) (#s(alt (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) (patch (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor inf b) (#s(alt (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) (patch (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) #<representation binary64>) () ())) ()) |
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#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor inf c) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor -inf c) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor -inf c) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor -inf c) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor 0 b) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor inf b) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 c) (taylor -inf b) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor -inf b) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor -inf b) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor 0 b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* a (pow c 2)) (taylor -inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor -inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor -inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
165 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | c | @ | inf | (/ c b) |
| 5.0ms | a | @ | inf | (+ (neg b) (sqrt (+ (* (* a -3) c) (* b b)))) |
| 1.0ms | a | @ | 0 | (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) |
| 1.0ms | b | @ | 0 | (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) |
| 1.0ms | c | @ | 0 | (/ (* 1/2 c) b) |
| 1× | egg-herbie |
| 12 522× | lower-fma.f64 |
| 12 522× | lower-fma.f32 |
| 8 828× | lower-*.f64 |
| 8 828× | lower-*.f32 |
| 5 278× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 890 | 12420 |
| 1 | 2910 | 12331 |
| 0 | 8359 | 11789 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* 2/3 (/ b a)) |
(* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))) |
(* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* 1/2 (/ c b)) |
(* -1 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(* 2/3 (/ b a)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) |
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) |
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))) |
(+ (* -1 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* 2/3 (/ b a)) |
(+ (* -1/2 (/ c b)) (* 2/3 (/ b a))) |
(+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* 2/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))) |
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))) |
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 c) |
(* 1/2 c) |
(* 1/2 c) |
(* 1/2 c) |
(* 1/2 c) |
(* 1/2 c) |
(* 1/2 c) |
(* 1/2 c) |
(* 1/2 c) |
(* 1/2 c) |
(* 1/2 c) |
(* 1/2 c) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* 2/3 (/ b a)) |
(* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))) |
(* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* 1/2 (/ c b)) |
(* -1 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(* 2/3 (/ b a)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) |
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) |
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))) |
(+ (* -1 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* 2/3 (/ b a)) |
(+ (* -1/2 (/ c b)) (* 2/3 (/ b a))) |
(+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* 2/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))) |
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))) |
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)) |
(+ (* b (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (+ (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(* 2 (/ b a)) |
(* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))) |
(* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* 3/2 (/ c b)) |
(* -1 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(* 2 (/ b a)) |
(/ (+ (* -3/2 (/ (* a c) b)) (* 2 b)) a) |
(/ (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) a) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (/ b a)) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 b) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) |
(* 2 (/ b a)) |
(+ (* -3/2 (/ c b)) (* 2 (/ b a))) |
(+ (* 2 (/ b a)) (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) |
(+ (* 2 (/ b a)) (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c)))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c)))))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) |
(* -1/2 (/ (* a c) b)) |
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1/2 (/ (* a c) b)) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1/2 (/ (* a c) b)) |
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(* -1/2 (/ c b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -3 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -3 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
| Outputs |
|---|
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b)) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (*.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 a (*.f64 c #s(literal -3/2 binary64)))) b) |
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(* -1/2 (/ c b)) |
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
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(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
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(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
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(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
b |
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(* (sqrt (* a c)) (sqrt -3)) |
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
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b |
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(* (sqrt (* a c)) (sqrt -3)) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
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(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
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b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(fma.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) b) b) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) b) b)) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) |
(*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
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(* 2/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a) |
(* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))) |
(*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))) |
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(* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
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(* 1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b) |
(* -1 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(/.f64 (fma.f64 a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (neg.f64 b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(/.f64 (fma.f64 c #s(literal -1/2 binary64) (fma.f64 a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b b)) (/.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 b)) |
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(/.f64 (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) (neg.f64 b)) |
(* 2/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 b #s(literal 2/3 binary64))) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
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(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a) |
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) |
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(*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) (*.f64 a a)))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) |
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(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/24 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) (*.f64 a a)))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
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(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))) |
(fma.f64 (/.f64 b a) #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64)))) |
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(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) #s(literal 1/6 binary64)) (*.f64 b #s(literal -1/3 binary64))) (neg.f64 a))) |
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(* 2/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a) |
(+ (* -1/2 (/ c b)) (* 2/3 (/ b a))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) |
(+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
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(+ (* 2/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) |
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) |
(* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))) |
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(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (*.f64 a c)))))) |
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(/.f64 (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) (*.f64 b (*.f64 b b))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/.f64 (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) (*.f64 b (*.f64 b b))) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 3/8 binary64) (*.f64 c #s(literal 1/2 binary64))) (neg.f64 b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 3/8 binary64) (*.f64 c #s(literal 1/2 binary64))) (neg.f64 b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 3/8 binary64) (*.f64 c #s(literal 1/2 binary64))) (neg.f64 b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c)) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
| 5 116× | lower-/.f32 |
| 5 102× | lower-/.f64 |
| 4 864× | lower-fma.f32 |
| 4 860× | lower-fma.f64 |
| 4 610× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 280 |
| 0 | 83 | 276 |
| 1 | 302 | 268 |
| 2 | 1985 | 260 |
| 0 | 8577 | 260 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b) |
(*.f64 #s(literal 1/2 binary64) c) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) |
#s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal 3/2 binary64)) |
(/.f64 c b) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) |
(*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) |
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) |
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
(*.f64 a (*.f64 c c)) |
| Outputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) |
(+.f64 (neg.f64 b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) |
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b)) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) |
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) |
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) (/.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (neg.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) |
(-.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 0 binary64)) b) |
(-.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b)))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) |
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) |
(fma.f64 (neg.f64 (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) b)) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) |
(fma.f64 (neg.f64 (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) b)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) |
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) |
(fma.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) #s(literal 1/2 binary64)) (neg.f64 b)) |
(fma.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))) (neg.f64 b)) |
(fma.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))) (neg.f64 b)) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) #s(literal 1/2 binary64)) (neg.f64 b)) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) #s(literal 1/2 binary64)) (neg.f64 b)) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))))) (neg.f64 b)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) |
(/.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) |
(/.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 c (*.f64 b b))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (neg.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (neg.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a)))))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (*.f64 (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) (neg.f64 (neg.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) (fma.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (fma.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (*.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))))))) |
(pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) |
(*.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))) |
(*.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))))) |
(*.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 c (*.f64 b b))))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))) |
(*.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))) |
(*.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) #s(literal 1 binary64))) |
(*.f64 a (*.f64 c c)) |
(*.f64 c (*.f64 a c)) |
(*.f64 (*.f64 c c) a) |
(*.f64 (*.f64 a c) c) |
Compiled 38 544 to 3 386 computations (91.2% saved)
33 alts after pruning (28 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 404 | 10 | 1 414 |
| Fresh | 6 | 18 | 24 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 412 | 33 | 1 445 |
| Status | Accuracy | Program |
|---|---|---|
| 37.3% | (/.f64 (/.f64 (-.f64 (*.f64 b a) (*.f64 a (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a a)) #s(literal -3 binary64)) | |
| 33.7% | (/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a) #s(literal -3 binary64)) | |
| 31.6% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) | |
| 26.8% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) | |
| ✓ | 56.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
| 33.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 56.1% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) |
| 27.9% | (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b))) #s(literal 1/3 binary64)) a) | |
| ✓ | 31.6% | (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
| ▶ | 13.7% | (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) |
| 31.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal 1/3 binary64)) | |
| 56.0% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64))) | |
| ▶ | 2.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))) |
| 56.1% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)) | |
| 29.5% | (*.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) | |
| 13.8% | (*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b c) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) | |
| ✓ | 13.8% | (*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) |
| 13.8% | (*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) | |
| 27.9% | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b)) a)) | |
| 38.1% | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) | |
| ▶ | 37.8% | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) |
| 32.9% | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) | |
| 34.0% | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) | |
| 34.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) | |
| ✓ | 34.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) |
| 34.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64)))) | |
| 34.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) | |
| 34.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))) | |
| 34.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) | |
| 15.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64)))) | |
| ▶ | 2.5% | #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) |
| ✓ | 13.8% | #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
| 2.2% | #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
Compiled 936 to 609 computations (34.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) | |
| cost-diff | 0 | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) | |
| cost-diff | 0 | #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (*.f64 b #s(literal 2/3 binary64)) | |
| cost-diff | 0 | #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) a) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))) | |
| cost-diff | 0 | (*.f64 b #s(literal 2/3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 b #s(literal 2/3 binary64)) a) | |
| cost-diff | 0 | #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) | |
| cost-diff | 0 | (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) |
| 4 640× | lower-fma.f32 |
| 4 636× | lower-fma.f64 |
| 3 558× | lower-*.f32 |
| 3 536× | lower-*.f64 |
| 1 508× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 385 |
| 0 | 78 | 381 |
| 1 | 148 | 379 |
| 2 | 283 | 367 |
| 3 | 555 | 367 |
| 4 | 766 | 367 |
| 5 | 1021 | 367 |
| 6 | 1449 | 367 |
| 7 | 3593 | 367 |
| 8 | 4886 | 367 |
| 9 | 6104 | 367 |
| 10 | 6683 | 367 |
| 11 | 6952 | 367 |
| 12 | 7108 | 367 |
| 13 | 7454 | 367 |
| 14 | 7717 | 367 |
| 15 | 7866 | 367 |
| 0 | 8057 | 367 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) |
(fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) |
b |
(*.f64 a (*.f64 #s(literal -3 binary64) c)) |
a |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
#s(literal 1/3 binary64) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) |
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a) |
(*.f64 b #s(literal 2/3 binary64)) |
b |
#s(literal 2/3 binary64) |
a |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
#s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))) |
(*.f64 b #s(literal 2/3 binary64)) |
b |
#s(literal 2/3 binary64) |
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) |
#s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) |
(*.f64 (*.f64 c a) #s(literal 3/2 binary64)) |
(*.f64 c a) |
c |
a |
#s(literal 3/2 binary64) |
b |
#s(literal 1/3 binary64) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) |
(/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) |
#s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) |
(*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64))) |
c |
(fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
a |
(/.f64 c (*.f64 b b)) |
(*.f64 b b) |
b |
#s(literal -3/8 binary64) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
(fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
b |
(*.f64 a (*.f64 #s(literal -3 binary64) c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
a |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
#s(literal 1/3 binary64) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a) |
(*.f64 b (/.f64 #s(literal 2/3 binary64) a)) |
(*.f64 b #s(literal 2/3 binary64)) |
b |
#s(literal 2/3 binary64) |
a |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))) |
(/.f64 #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))) a) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
#s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))) |
(*.f64 b #s(literal 2/3 binary64)) |
b |
#s(literal 2/3 binary64) |
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (*.f64 c (/.f64 (*.f64 a #s(literal 3/2 binary64)) b))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) |
(/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (*.f64 c (/.f64 (*.f64 a #s(literal 3/2 binary64)) b))) a) |
#s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) |
#s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (*.f64 c (/.f64 (*.f64 a #s(literal 3/2 binary64)) b))) |
(/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) |
(*.f64 c (/.f64 (*.f64 a #s(literal 3/2 binary64)) b)) |
(*.f64 (*.f64 c a) #s(literal 3/2 binary64)) |
(*.f64 a (*.f64 c #s(literal 3/2 binary64))) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
#s(literal 3/2 binary64) |
b |
#s(literal 1/3 binary64) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
(/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) |
(/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b) |
#s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) |
#s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) |
(*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64))) |
(*.f64 c (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64))) |
c |
(fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) |
(fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
a |
(/.f64 c (*.f64 b b)) |
(*.f64 b b) |
b |
#s(literal -3/8 binary64) |
#s(literal -1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.8762706118303611 | (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64))) | |
| accuracy | 4.8075045310803874 | (*.f64 a (/.f64 c (*.f64 b b))) | |
| accuracy | 6.102183416842993 | (/.f64 c (*.f64 b b)) | |
| accuracy | 39.822212758959736 | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) | |
| accuracy | 0.29296875 | (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) | |
| accuracy | 3.055425137033395 | (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) | |
| accuracy | 5.958467102368093 | (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) | |
| accuracy | 42.341486949036344 | #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) a) | |
| accuracy | 0.296875 | (*.f64 b #s(literal 2/3 binary64)) | |
| accuracy | 3.178640594515022 | (*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))) | |
| accuracy | 39.5822363792721 | #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))) | |
| accuracy | 0.15234375 | (/.f64 (*.f64 b #s(literal 2/3 binary64)) a) | |
| accuracy | 0.296875 | (*.f64 b #s(literal 2/3 binary64)) | |
| accuracy | 39.49873645002491 | #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) | |
| accuracy | 1.4999834856333614 | (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) | |
| accuracy | 3.155730135419142 | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) | |
| accuracy | 13.935882293283127 | (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) | |
| accuracy | 21.913569084911643 | (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) |
| 57.0ms | 77× | 2 | valid |
| 54.0ms | 81× | 1 | valid |
| 34.0ms | 83× | 0 | valid |
| 13.0ms | 15× | 3 | valid |
Compiled 299 to 48 computations (83.9% saved)
ival-mult: 37.0ms (32.5% of total)ival-div: 22.0ms (19.4% of total)adjust: 14.0ms (12.3% of total)const: 12.0ms (10.6% of total)ival-sqrt: 12.0ms (10.6% of total)ival-add: 10.0ms (8.8% of total)ival-sub: 4.0ms (3.5% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) (patch (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (patch (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) (patch #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 b #s(literal 2/3 binary64)) a) (patch (/.f64 (*.f64 b #s(literal 2/3 binary64)) a) #<representation binary64>) () ()) |
#s(alt (*.f64 b #s(literal 2/3 binary64)) (patch (*.f64 b #s(literal 2/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))) (patch #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ()) |
#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (patch (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) (patch #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64))) (patch (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ()) |
#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -2/3 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) (taylor 0 b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/2 (/ (* a c) b)) (taylor inf b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (taylor inf c) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) (taylor inf c) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) (taylor inf c) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) (taylor inf c) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 2/3 (/ b a)) (taylor inf b) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))) (taylor inf b) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) (taylor inf b) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) (taylor -inf b) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 2/3 (/ b a)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* 2/3 (/ b a))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))))) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (sqrt -3)) (taylor 0 b) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)) (taylor 0 b) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (+ (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ b a)) (taylor inf b) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))) (taylor inf b) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))) (taylor inf b) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) (taylor inf b) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 (/ c b)) (taylor -inf b) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)) (taylor -inf b) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) (taylor -inf b) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ b a)) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -3/2 (/ (* a c) b)) (* 2 b)) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (sqrt -3)) (taylor inf a) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)) (taylor inf a) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))) (taylor inf a) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))) (taylor inf a) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (/ b a)) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 b) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ b a)) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3/2 (/ c b)) (* 2 (/ b a))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ b a)) (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ b a)) (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (sqrt -3)) (taylor inf c) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c)))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c))))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) (taylor -inf c) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ()) |
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#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor 0 b) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) (taylor inf b) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor inf b) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) (taylor -inf b) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) (taylor -inf b) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 b) (taylor 0 a) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3/2 (/ (* a c) b)) (* 2 b)) (taylor 0 a) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) (taylor 0 a) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))) (taylor inf a) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))) (taylor inf a) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))) (taylor inf a) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -3/2 (/ (* a c) b)) (* 2 b)) (taylor 0 c) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))) (taylor inf c) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))) (taylor inf c) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))))) (taylor inf c) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf c) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf c) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf c) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (patch (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (patch (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (patch (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (patch (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 (/ (* a c) b)) (taylor inf c) (#s(alt (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (patch (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 (/ (* a c) b)) (taylor inf c) (#s(alt (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (patch (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 (/ (* a c) b)) (taylor inf c) (#s(alt (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (patch (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) #<representation binary64>) () ())) ()) |
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#s(alt (* 3/2 (/ (* a c) b)) (taylor inf a) (#s(alt (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (patch (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) #<representation binary64>) () ())) ()) |
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#s(alt (* 3/2 (/ (* a c) b)) (taylor inf b) (#s(alt (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (patch (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 (/ (* a c) b)) (taylor inf b) (#s(alt (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (patch (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 (/ (* a c) b)) (taylor inf b) (#s(alt (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (patch (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 (/ (* a c) b)) (taylor inf b) (#s(alt (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (patch (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 (/ (* a c) b)) (taylor -inf b) (#s(alt (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (patch (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 (/ (* a c) b)) (taylor -inf b) (#s(alt (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (patch (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 (/ (* a c) b)) (taylor -inf b) (#s(alt (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (patch (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 (/ (* a c) b)) (taylor -inf b) (#s(alt (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (patch (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor 0 b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) (taylor 0 b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) (taylor 0 b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -2/3 (/ b a)) (taylor -inf b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) (taylor -inf b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) (taylor -inf b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) (taylor -inf b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) (taylor -inf c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor -inf c) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor -inf c) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor -inf c) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor -inf c) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor 0 b) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor -inf b) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) (taylor -inf b) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) (taylor -inf b) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) (taylor -inf b) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 c) (taylor 0 a) (#s(alt #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) (patch #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor 0 a) (#s(alt #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) (patch #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor 0 a) (#s(alt #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) (patch #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor 0 a) (#s(alt #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) (patch #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor inf a) (#s(alt #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) (patch #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) (taylor -inf c) (#s(alt (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) (taylor -inf c) (#s(alt (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) (taylor -inf c) (#s(alt (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor 0 c) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor 0 c) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor 0 c) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor 0 c) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor inf c) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor inf c) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor inf c) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor inf c) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor -inf c) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor -inf c) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor -inf c) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor -inf c) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor 0 b) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor 0 b) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor 0 b) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor 0 b) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor inf b) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor inf b) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor inf b) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor inf b) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor -inf b) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor -inf b) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor -inf b) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow b 2)) (taylor -inf b) (#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor 0 a) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor 0 a) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor 0 a) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor 0 a) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor inf a) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor inf a) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor inf a) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor inf a) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor 0 c) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor 0 c) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor 0 c) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor 0 c) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor inf c) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor inf c) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor inf c) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor inf c) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor -inf c) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor -inf c) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor -inf c) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor -inf c) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor 0 b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor 0 b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor 0 b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor 0 b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor inf b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor inf b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor inf b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor inf b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor -inf b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor -inf b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor -inf b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 2)) (taylor -inf b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ()) |
171 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | c | @ | inf | (* c (+ (* (* a (/ c (* b b))) -3/8) -1/2)) |
| 1.0ms | a | @ | 0 | (* c (+ (* (* a (/ c (* b b))) -3/8) -1/2)) |
| 1.0ms | c | @ | -inf | (* c (+ (* (* a (/ c (* b b))) -3/8) -1/2)) |
| 0.0ms | c | @ | 0 | (* c (+ (* (* a (/ c (* b b))) -3/8) -1/2)) |
| 0.0ms | c | @ | -inf | (/ c (* b b)) |
| 1× | egg-herbie |
| 11 412× | lower-fma.f64 |
| 11 412× | lower-fma.f32 |
| 7 814× | lower-*.f64 |
| 7 814× | lower-*.f32 |
| 6 316× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 992 | 13493 |
| 1 | 3278 | 13395 |
| 0 | 8567 | 12771 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) |
(* -1/2 (/ (* a c) b)) |
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1/2 (/ (* a c) b)) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1/2 (/ (* a c) b)) |
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* 2/3 (/ b a)) |
(* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))) |
(* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* 1/2 (/ c b)) |
(* -1 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(* 2/3 (/ b a)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) |
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) |
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))) |
(+ (* -1 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* 2/3 (/ b a)) |
(+ (* -1/2 (/ c b)) (* 2/3 (/ b a))) |
(+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* 2/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))) |
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))) |
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 b) |
(* 2/3 b) |
(* 2/3 b) |
(* 2/3 b) |
(* 2/3 b) |
(* 2/3 b) |
(* 2/3 b) |
(* 2/3 b) |
(* 2/3 b) |
(* 2/3 b) |
(* 2/3 b) |
(* 2/3 b) |
(* 2/3 (/ b a)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) |
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) |
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))) |
(+ (* -1 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* 2/3 (/ b a)) |
(* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))) |
(* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* 1/2 (/ c b)) |
(* -1 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(* 2/3 (/ b a)) |
(+ (* -1/2 (/ c b)) (* 2/3 (/ b a))) |
(+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* 2/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))) |
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))) |
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3))))))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))))) |
(* 2/3 b) |
(* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))) |
(* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 1/2 (/ (* a c) b)) |
(* -1 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 2/3 b) |
(+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) |
(+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) |
(* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))) |
(* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* 2/3 b) |
(+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) |
(+ (* 2/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2/3 b) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* c (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c)))) |
(* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c))))) |
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c)))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* 2/3 (/ b a)) |
(* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))) |
(* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* 1/2 (/ c b)) |
(* -1 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(* 2/3 (/ b a)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) |
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) |
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))) |
(+ (* -1 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* 2/3 (/ b a)) |
(+ (* -1/2 (/ c b)) (* 2/3 (/ b a))) |
(+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* 2/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))) |
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))) |
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)) |
(+ (* b (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (+ (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(* 2 (/ b a)) |
(* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))) |
(* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* 3/2 (/ c b)) |
(* -1 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(* 2 (/ b a)) |
(/ (+ (* -3/2 (/ (* a c) b)) (* 2 b)) a) |
(/ (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) a) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (/ b a)) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 b) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) |
(* 2 (/ b a)) |
(+ (* -3/2 (/ c b)) (* 2 (/ b a))) |
(+ (* 2 (/ b a)) (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) |
(+ (* 2 (/ b a)) (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c)))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c)))))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ b (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(* 2 b) |
(* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 3/2 (/ (* a c) b)) |
(* -1 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 2 b) |
(+ (* -3/2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* 2 b) |
(+ (* -3/2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 3/2 (/ (* a c) b)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(* -1/2 (/ c b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -3 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -3 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
| Outputs |
|---|
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(fma.f64 b (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 b (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))))) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) b) |
(* -2/3 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) a))) (neg.f64 b)) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(neg.f64 (*.f64 b (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) a)))))) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b)) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) c) c) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
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(* (sqrt (* a c)) (sqrt -3)) |
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b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
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b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 a (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) b) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
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b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 a (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) b) |
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(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
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(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c)))) (neg.f64 c)) |
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(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) |
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(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
| 5 242× | lower-/.f32 |
| 5 228× | lower-/.f64 |
| 4 590× | lower-*.f32 |
| 4 568× | lower-*.f64 |
| 4 232× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 331 |
| 0 | 78 | 324 |
| 1 | 295 | 322 |
| 2 | 1876 | 316 |
| 0 | 8405 | 313 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) |
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a) |
(*.f64 b #s(literal 2/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))) |
(/.f64 #s(literal 1 binary64) a) |
#s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))) |
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) |
#s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) |
(/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) |
#s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) |
(*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64))) |
(fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) |
(/.f64 c (*.f64 b b)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) a))) |
(neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) a))) |
(neg.f64 (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal -1/3 binary64)) a)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 (*.f64 b (*.f64 b b)))) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) a) (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64))))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal -1/3 binary64)) (neg.f64 a)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 (*.f64 b (*.f64 b b)))) #s(literal 1/3 binary64)) (*.f64 (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a)) |
(/.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) #s(literal 1/3 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) a)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal -1/3 binary64))) (neg.f64 (neg.f64 a))) |
(/.f64 (*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #s(literal 1 binary64)) a) |
(/.f64 (*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (neg.f64 a)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) |
(/.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 (*.f64 b (*.f64 b b)))) #s(literal 1/3 binary64))) (neg.f64 (*.f64 (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) #s(literal 1/3 binary64))) (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) a))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal -1/3 binary64)))) (neg.f64 (neg.f64 (neg.f64 a)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #s(literal 1 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) (neg.f64 (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a))) (neg.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) |
(pow.f64 (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) a)) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)))))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 (*.f64 b (*.f64 b b)))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a))) |
(*.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) a))) |
(*.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) |
(*.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) |
(*.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) (fma.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (*.f64 b (*.f64 b b)))) (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))))) |
(*.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) a) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) a)) |
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(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 c) (*.f64 b b))) |
(*.f64 (/.f64 (neg.f64 c) b) (/.f64 a (neg.f64 b))) |
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 a (*.f64 b b))) |
Compiled 31 508 to 3 121 computations (90.1% saved)
40 alts after pruning (31 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 243 | 10 | 1 253 |
| Fresh | 2 | 21 | 23 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 246 | 40 | 1 286 |
| Status | Accuracy | Program |
|---|---|---|
| 37.3% | (/.f64 (/.f64 (-.f64 (*.f64 b a) (*.f64 a (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a a)) #s(literal -3 binary64)) | |
| 33.7% | (/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a) #s(literal -3 binary64)) | |
| 31.6% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) | |
| 26.8% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) | |
| ✓ | 56.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
| 33.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 33.6% | (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a) | |
| 27.9% | (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b))) #s(literal 1/3 binary64)) a) | |
| 13.7% | (/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b))) a) | |
| ✓ | 31.6% | (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
| ✓ | 13.7% | (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) |
| 31.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal 1/3 binary64)) | |
| 56.0% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64))) | |
| 2.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (/.f64 b #s(literal 3/2 binary64)))) | |
| ✓ | 2.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))) |
| 56.1% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)) | |
| 29.5% | (*.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) | |
| 1.3% | (*.f64 (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))) | |
| 13.8% | (*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b c) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) | |
| ✓ | 13.8% | (*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) |
| 13.8% | (*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) | |
| 13.7% | (*.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b)) (/.f64 #s(literal 1/3 binary64) a)) | |
| 27.9% | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b)) a)) | |
| 38.1% | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) | |
| ✓ | 37.8% | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) |
| 32.9% | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) | |
| 34.0% | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) | |
| 13.5% | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) #s(approx (/ (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) b) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) c) (*.f64 b (*.f64 b b))))) | |
| 34.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) | |
| ✓ | 34.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) |
| 34.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64)))) | |
| 34.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) | |
| 34.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))) | |
| 34.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) | |
| 15.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64)))) | |
| 2.5% | #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (/.f64 b #s(literal 3/2 binary64)) a)) | |
| ✓ | 2.5% | #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) |
| ✓ | 13.8% | #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
| 2.5% | #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64))) | |
| 2.5% | #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b)) |
Compiled 1 398 to 594 computations (57.5% saved)
| Inputs |
|---|
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64))) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (/.f64 b #s(literal 3/2 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (/.f64 b #s(literal 3/2 binary64)))) |
(/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a) #s(literal -3 binary64)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) #s(approx (/ (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) b) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) c) (*.f64 b (*.f64 b b))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b)) a)) |
(*.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b)) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b))) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b))) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b c) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (fma.f64 (/.f64 b a) #s(literal 2 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))) b)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64))) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal 1/3 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 b a) (*.f64 a (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a a)) #s(literal -3 binary64)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) |
(/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) |
(*.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 b (/.f64 a (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a) (*.f64 a (/.f64 a (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -3 binary64)) |
(*.f64 (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
5 calls:
| 23.0ms | b |
| 21.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 20.0ms | (*.f64 #s(literal 3 binary64) a) |
| 19.0ms | c |
| 18.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.2% | 1 | a |
| 88.8% | 3 | b |
| 56.2% | 1 | c |
| 78.4% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 56.2% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64))) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (/.f64 b #s(literal 3/2 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (/.f64 b #s(literal 3/2 binary64)))) |
(/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a) #s(literal -3 binary64)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) #s(approx (/ (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) b) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) c) (*.f64 b (*.f64 b b))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b)) a)) |
(*.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b)) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b))) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b))) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b c) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (fma.f64 (/.f64 b a) #s(literal 2 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
1 calls:
| 15.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.7% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64))) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (/.f64 b #s(literal 3/2 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (/.f64 b #s(literal 3/2 binary64)))) |
(/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a) #s(literal -3 binary64)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) #s(approx (/ (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) b) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) c) (*.f64 b (*.f64 b b))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b)) a)) |
(*.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b)) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b))) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b))) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b c) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (fma.f64 (/.f64 b a) #s(literal 2 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
1 calls:
| 17.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.7% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64))) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (/.f64 b #s(literal 3/2 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (/.f64 b #s(literal 3/2 binary64)))) |
(/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a) #s(literal -3 binary64)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) #s(approx (/ (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) b) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) c) (*.f64 b (*.f64 b b))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b)) a)) |
(*.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b)) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b))) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b))) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b c) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (fma.f64 (/.f64 b a) #s(literal 2 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
1 calls:
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.7% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64))) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (/.f64 b #s(literal 3/2 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (/.f64 b #s(literal 3/2 binary64)))) |
(/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a) #s(literal -3 binary64)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) #s(approx (/ (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) b) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) c) (*.f64 b (*.f64 b b))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b)) a)) |
(*.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b)) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b))) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b))) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b c) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (fma.f64 (/.f64 b a) #s(literal 2 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
1 calls:
| 11.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.5% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64))) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (/.f64 b #s(literal 3/2 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (/.f64 b #s(literal 3/2 binary64)))) |
(/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a) #s(literal -3 binary64)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) #s(approx (/ (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) b) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) c) (*.f64 b (*.f64 b b))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b)) a)) |
(*.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b)) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b))) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b))) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b c) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (fma.f64 (/.f64 b a) #s(literal 2 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) #s(literal 1/3 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
2 calls:
| 16.0ms | b |
| 9.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.7% | 4 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 69.5% | 2 | b |
Compiled 24 to 15 computations (37.5% saved)
| Inputs |
|---|
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64))) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))) |
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (/.f64 b #s(literal 3/2 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
1 calls:
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.4% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64))) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
5 calls:
| 3.0ms | c |
| 3.0ms | a |
| 3.0ms | (*.f64 #s(literal 3 binary64) a) |
| 3.0ms | b |
| 3.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.1% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 34.1% | 1 | a |
| 34.1% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 34.1% | 1 | c |
| 45.0% | 2 | b |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64))) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64)))) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
1 calls:
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.0% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64))) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.0% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64))) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) |
| Outputs |
|---|
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
5 calls:
| 3.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 2.0ms | (*.f64 #s(literal 3 binary64) a) |
| 2.0ms | c |
| 2.0ms | b |
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 13.8% | 1 | a |
| 13.8% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 13.8% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 13.8% | 1 | c |
| 13.8% | 1 | b |
Compiled 38 to 26 computations (31.6% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64))) |
| Outputs |
|---|
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b)) |
5 calls:
| 2.0ms | (*.f64 #s(literal 3 binary64) a) |
| 2.0ms | c |
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.5% | 1 | b |
| 2.5% | 1 | a |
| 2.5% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 2.5% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 2.5% | 1 | c |
Compiled 38 to 26 computations (31.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 2.54469367422963e-97 | 6.628481752312965e-94 |
| 19.0ms | -1.2988362931764609e+129 | -2.6395316068336857e+126 |
| 15.0ms | 207× | 0 | valid |
| 10.0ms | 35× | 1 | valid |
| 3.0ms | 14× | 2 | valid |
| 2.0ms | 33× | 0 | invalid |
Compiled 503 to 354 computations (29.6% saved)
ival-sqrt: 8.0ms (36.8% of total)ival-mult: 5.0ms (23% of total)ival-div: 2.0ms (9.2% of total)ival-sub: 2.0ms (9.2% of total)ival-add: 2.0ms (9.2% of total)adjust: 1.0ms (4.6% of total)ival-neg: 1.0ms (4.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.54469367422963e-97 | 6.628481752312965e-94 |
| 5.0ms | -2.0053663914873607e+160 | -1.0576814267516462e+153 |
| 3.0ms | 48× | 0 | valid |
Compiled 342 to 238 computations (30.4% saved)
ival-mult: 1.0ms (44.9% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.54469367422963e-97 | 6.628481752312965e-94 |
| 14.0ms | -1.315269857975148e+130 | -1.2988362931764609e+129 |
| 10.0ms | 96× | 0 | valid |
| 0.0ms | 1× | 0 | invalid |
Compiled 429 to 298 computations (30.5% saved)
ival-mult: 5.0ms (66.4% of total)ival-div: 1.0ms (13.3% of total)ival-sqrt: 1.0ms (13.3% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.54469367422963e-97 | 6.628481752312965e-94 |
| 1.0ms | -1.315269857975148e+130 | -1.2988362931764609e+129 |
Compiled 429 to 298 computations (30.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 2.54469367422963e-97 | 6.628481752312965e-94 |
| 9.0ms | -6.458085349822059e-121 | -3.5391871566100113e-121 |
| 5.0ms | 76× | 0 | valid |
| 2.0ms | 24× | 0 | invalid |
| 1.0ms | 3× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 347 to 246 computations (29.1% saved)
ival-mult: 2.0ms (39.6% of total)ival-div: 1.0ms (19.8% of total)ival-sub: 1.0ms (19.8% of total)ival-sqrt: 1.0ms (19.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | -1.8276672933739126e-300 | 1.879162137411249e-300 |
| 12.0ms | 160× | 0 | valid |
| 6.0ms | 88× | 0 | invalid |
Compiled 223 to 158 computations (29.1% saved)
ival-mult: 4.0ms (35.1% of total)ival-div: 2.0ms (17.5% of total)ival-sqrt: 2.0ms (17.5% of total)ival-add: 1.0ms (8.8% of total)ival-sub: 1.0ms (8.8% of total)ival-neg: 1.0ms (8.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.8276672933739126e-300 | 1.879162137411249e-300 |
Compiled 223 to 158 computations (29.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 3.010704076887358e+42 | 2.803261762718981e+46 |
| 9.0ms | 46× | 2 | valid |
| 6.0ms | 43× | 1 | valid |
| 3.0ms | 10× | 3 | valid |
| 2.0ms | 29× | 0 | valid |
| 1.0ms | 9× | 0 | invalid |
Compiled 183 to 130 computations (29% saved)
adjust: 3.0ms (19.8% of total)ival-sqrt: 3.0ms (19.8% of total)ival-mult: 3.0ms (19.8% of total)ival-div: 2.0ms (13.2% of total)ival-sub: 2.0ms (13.2% of total)ival-add: 1.0ms (6.6% of total)ival-neg: 1.0ms (6.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.010704076887358e+42 | 2.803261762718981e+46 |
Compiled 183 to 130 computations (29% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.010704076887358e+42 | 2.803261762718981e+46 |
Compiled 183 to 130 computations (29% saved)
| 1× | egg-herbie |
| 34× | *-commutative_binary64 |
| 12× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 644 |
| 1 | 132 | 643 |
| 2 | 140 | 643 |
| 3 | 143 | 643 |
| 4 | 144 | 643 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -1259999999999999979284288486313492053390250327694540779418916825029046780800677325126183784949940911511881934740802891745945714688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))) |
(if (<=.f64 b #s(literal -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))) |
(if (<=.f64 b #s(literal -3200000000000000240558358132858267607908573005927706283145309127544850960775728654926531523512825713370451056124328084245368012800 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))) |
(if (<=.f64 b #s(literal -3200000000000000240558358132858267607908573005927706283145309127544850960775728654926531523512825713370451056124328084245368012800 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))) |
(if (<=.f64 b #s(literal -7442828536787015/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) (if (<=.f64 b #s(literal 7139569451632453/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))) |
(if (<=.f64 b #s(literal 2428827039687727/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal 2428827039687727/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal 3100000000000000154619959793102595471441920 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))) |
(if (<=.f64 b #s(literal 3100000000000000154619959793102595471441920 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64)))) #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))) |
(if (<=.f64 b #s(literal 3100000000000000154619959793102595471441920 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b)) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -1259999999999999979284288486313492053390250327694540779418916825029046780800677325126183784949940911511881934740802891745945714688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))) |
(if (<=.f64 b #s(literal -1259999999999999979284288486313492053390250327694540779418916825029046780800677325126183784949940911511881934740802891745945714688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))) |
(if (<=.f64 b #s(literal -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))) |
(if (<=.f64 b #s(literal -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))) |
(if (<=.f64 b #s(literal -3200000000000000240558358132858267607908573005927706283145309127544850960775728654926531523512825713370451056124328084245368012800 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))) |
(if (<=.f64 b #s(literal -3200000000000000240558358132858267607908573005927706283145309127544850960775728654926531523512825713370451056124328084245368012800 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (/.f64 #s(literal 1/3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))) |
(if (<=.f64 b #s(literal -3200000000000000240558358132858267607908573005927706283145309127544850960775728654926531523512825713370451056124328084245368012800 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))) |
(if (<=.f64 b #s(literal -3200000000000000240558358132858267607908573005927706283145309127544850960775728654926531523512825713370451056124328084245368012800 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))) |
(if (<=.f64 b #s(literal -7442828536787015/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) (if (<=.f64 b #s(literal 7139569451632453/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))) |
(if (<=.f64 b #s(literal -7442828536787015/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) (if (<=.f64 b #s(literal 7139569451632453/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))) |
(if (<=.f64 b #s(literal 2428827039687727/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal 2428827039687727/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal 3100000000000000154619959793102595471441920 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))) |
(if (<=.f64 b #s(literal 3100000000000000154619959793102595471441920 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))) |
(if (<=.f64 b #s(literal 3100000000000000154619959793102595471441920 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64)))) #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))) |
(if (<=.f64 b #s(literal 3100000000000000154619959793102595471441920 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64)))) #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))) |
(if (<=.f64 b #s(literal 3100000000000000154619959793102595471441920 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))) |
(if (<=.f64 b #s(literal 3100000000000000154619959793102595471441920 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b)) |
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
| 11 412× | lower-fma.f64 |
| 11 412× | lower-fma.f32 |
| 10 788× | lower-fma.f64 |
| 10 788× | lower-fma.f32 |
| 9 010× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 331 |
| 0 | 78 | 324 |
| 1 | 295 | 322 |
| 2 | 1876 | 316 |
| 0 | 8405 | 313 |
| 0 | 992 | 13493 |
| 1 | 3278 | 13395 |
| 0 | 8567 | 12771 |
| 0 | 39 | 209 |
| 0 | 60 | 207 |
| 1 | 209 | 201 |
| 2 | 1517 | 201 |
| 0 | 9166 | 201 |
| 0 | 560 | 3466 |
| 1 | 1767 | 3443 |
| 2 | 6215 | 3400 |
| 0 | 8264 | 3230 |
| 0 | 1097 | 12305 |
| 1 | 3647 | 12203 |
| 0 | 8217 | 11655 |
| 0 | 56 | 280 |
| 0 | 83 | 276 |
| 1 | 302 | 268 |
| 2 | 1985 | 260 |
| 0 | 8577 | 260 |
| 0 | 12 | 51 |
| 0 | 20 | 51 |
| 1 | 71 | 49 |
| 2 | 525 | 48 |
| 3 | 6836 | 48 |
| 0 | 8125 | 44 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 721 to 370 computations (48.7% saved)
Compiled 576 to 190 computations (67% saved)
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