
Time bar (total: 8.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 6.8% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 15.9% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 23.1% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 36.5% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 45.4% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 52.3% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 41 to 26 computations (36.6% saved)
| 1.1s | 6 736× | 1 | valid |
| 150.0ms | 1 520× | 0 | valid |
| 112.0ms | 1 123× | 0 | invalid |
ival-mult: 194.0ms (19% of total)const: 153.0ms (15% of total)adjust: 140.0ms (13.7% of total)ival-sqrt: 106.0ms (10.4% of total)ival-<: 106.0ms (10.4% of total)ival-div: 96.0ms (9.4% of total)ival-sub: 71.0ms (6.9% of total)ival-add: 69.0ms (6.7% of total)ival-neg: 43.0ms (4.2% of total)ival-and: 32.0ms (3.1% of total)exact: 10.0ms (1% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 251 | 2 | (2.5592099566882598e+22 103498.98687770907 8.113132718098415e-16) | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.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 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 0 | 0 | - | 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)) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | cancellation | 253 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 251 | 0 |
| - | 2 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 251 | 0 | 0 |
| - | 2 | 0 | 3 |
| number | freq |
|---|---|
| 0 | 3 |
| 1 | 253 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 71.0ms | 406× | 1 | valid |
| 10.0ms | 106× | 0 | valid |
Compiled 351 to 122 computations (65.2% saved)
ival-mult: 14.0ms (28.3% of total)ival-div: 7.0ms (14.1% of total)adjust: 7.0ms (14.1% of total)ival-sqrt: 7.0ms (14.1% of total)ival-add: 5.0ms (10.1% of total)ival-sub: 5.0ms (10.1% of total)ival-neg: 3.0ms (6.1% of total)ival-true: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
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 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
Compiled 17 to 12 computations (29.4% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 19.1% | (/.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 17 to 12 computations (29.4% 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)))) |
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 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
a |
c |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12890625 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| accuracy | 0.26953125 | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | |
| accuracy | 0.36328125 | (/.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 | 51.81169702971889 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 35.0ms | 203× | 1 | valid |
| 5.0ms | 53× | 0 | valid |
Compiled 134 to 26 computations (80.6% saved)
ival-mult: 7.0ms (28.9% of total)adjust: 4.0ms (16.5% of total)ival-sqrt: 4.0ms (16.5% of total)ival-div: 3.0ms (12.4% of total)ival-add: 2.0ms (8.3% of total)ival-sub: 2.0ms (8.3% of total)ival-neg: 1.0ms (4.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#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 (* 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 (-.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 (* 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 (-.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 (* 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 (-.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 (pow b 2) (taylor 0 c) (#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 (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#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 (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#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 (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#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 (* -1/2 (/ c b)) (taylor 0 c) (#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 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#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 (* 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 (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 (* 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 (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 (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#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 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#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 (* 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 (-.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 (* 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 (-.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 (* a c)) (taylor inf c) (#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 (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#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 (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#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 (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#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 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#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 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#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 (* 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 (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>) () ())) ()) |
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#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#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 (+ (* -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 (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 (+ (* -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 (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 (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 3.0ms | c | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 2.0ms | c | @ | 0 | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 2.0ms | c | @ | -inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 2.0ms | a | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 470 | 2458 |
| 1 | 1445 | 2441 |
| 2 | 4890 | 2418 |
| 0 | 8056 | 2302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -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)))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* (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))) |
(* -3 (* a c)) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* 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))))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a 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)) |
(* -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 -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))))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* (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 (* a c)) |
(- (pow b 2) (* 3 (* a c))) |
(- (pow b 2) (* 3 (* a c))) |
(- (pow b 2) (* 3 (* a c))) |
(* 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 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -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) |
(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))))) |
(* -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) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 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)))))))) |
(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))))) |
(* -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 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -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)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -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))))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* (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))) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* 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)))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -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 (* 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)))) |
(* -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))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
| Outputs |
|---|
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(* 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)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c))) 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))) |
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(pow b 2) |
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(*.f64 (neg.f64 b) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 c b) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) 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))))))) |
(*.f64 (neg.f64 b) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 c b) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -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 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a))) 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 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)))) a) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* 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 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) |
(+ (* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))) |
(+ (* -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 1/72 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 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)))))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (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 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) a) b) a))) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) #s(literal -1/3 binary64)) |
(+ (* -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))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 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))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a))) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 46 |
| 0 | 20 | 46 |
| 1 | 71 | 44 |
| 2 | 525 | 43 |
| 3 | 6836 | 43 |
| 0 | 8125 | 40 |
| 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) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| Outputs |
|---|
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Compiled 17 052 to 1 916 computations (88.8% saved)
33 alts after pruning (33 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 521 | 33 | 554 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 522 | 33 | 555 |
| Status | Accuracy | Program |
|---|---|---|
| 19.1% | (/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) | |
| 19.3% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 18.5% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 19.1% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
| 19.1% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) | |
| 19.1% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 19.0% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (neg.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 19.0% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 19.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal -1 binary64)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 18.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 19.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| 19.1% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 19.1% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) | |
| 95.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 97.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 95.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 89.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 19.1% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| ▶ | 19.1% | (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) |
| 18.7% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| 19.1% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 19.1% | (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) | |
| 19.1% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64))) | |
| 98.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 97.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 96.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| ▶ | 97.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) |
| 96.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| ▶ | 98.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b)) |
| 97.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 97.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 95.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ▶ | 89.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
Compiled 1 678 to 1 158 computations (31% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) | |
| cost-diff | 960 | (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) | |
| cost-diff | 6144 | (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| cost-diff | 0 | (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) | |
| cost-diff | 384 | (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) | |
| cost-diff | 6080 | (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) | |
| cost-diff | 384 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b)) | |
| cost-diff | 320 | (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) | |
| cost-diff | 320 | (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) | |
| cost-diff | 6784 | (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 652 |
| 0 | 108 | 650 |
| 1 | 192 | 644 |
| 2 | 421 | 638 |
| 3 | 1012 | 633 |
| 4 | 2377 | 612 |
| 5 | 3294 | 612 |
| 6 | 4202 | 612 |
| 7 | 5229 | 612 |
| 8 | 7745 | 612 |
| 0 | 8839 | 594 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b)) |
(/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b) |
(fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) |
(*.f64 #s(literal -9/16 binary64) (*.f64 a a)) |
#s(literal -9/16 binary64) |
(*.f64 a a) |
a |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(pow.f64 c #s(literal 3 binary64)) |
c |
#s(literal 3 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) |
(/.f64 #s(literal -1/6 binary64) a) |
#s(literal -1/6 binary64) |
(*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
(pow.f64 a #s(literal 4 binary64)) |
(/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64))) |
#s(literal 405/64 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
#s(literal 6 binary64) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(*.f64 c c) |
#s(literal -3/8 binary64) |
(/.f64 a b) |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
c |
b |
#s(literal -1/2 binary64) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
#s(literal 3 binary64) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) |
#s(literal 1/3 binary64) |
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) |
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
#s(literal -1 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(*.f64 c c) |
c |
#s(literal -3/8 binary64) |
b |
(/.f64 a b) |
a |
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) |
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -9/16 binary64) |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 c (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) a) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) b)) |
(/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b) |
(/.f64 (fma.f64 c (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) a) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) b) |
(fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) |
(fma.f64 c (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) a) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) |
(*.f64 #s(literal -9/16 binary64) (*.f64 a a)) |
(*.f64 (*.f64 a a) #s(literal -9/16 binary64)) |
#s(literal -9/16 binary64) |
(*.f64 a a) |
a |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(pow.f64 c #s(literal 3 binary64)) |
c |
#s(literal 3 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) |
(fma.f64 (/.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 c (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 #s(literal -3/8 binary64) b) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -1/6 binary64) a) |
#s(literal -1/6 binary64) |
(*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) |
(*.f64 (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
(pow.f64 a #s(literal 4 binary64)) |
(/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64))) |
#s(literal 405/64 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
#s(literal 6 binary64) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 c (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 #s(literal -3/8 binary64) b) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) b) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(*.f64 c c) |
#s(literal -3/8 binary64) |
(/.f64 a b) |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
c |
b |
#s(literal -1/2 binary64) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
#s(literal 3 binary64) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
#s(literal 1/3 binary64) |
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) |
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
#s(literal -1 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) a) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)) #s(literal -1/2 binary64))) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) |
(/.f64 (*.f64 c (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) a) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)) #s(literal -1/2 binary64))) b) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) |
(*.f64 c (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) a) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) b) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(*.f64 c c) |
c |
#s(literal -3/8 binary64) |
b |
(/.f64 a b) |
a |
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 c (fma.f64 (*.f64 (*.f64 (*.f64 c #s(literal -9/16 binary64)) a) c) (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) a) (pow.f64 c #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -9/16 binary64) |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2734375 | (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) | |
| accuracy | 0.3125 | (*.f64 (pow.f64 c #s(literal 3 binary64)) a) | |
| accuracy | 0.328125 | (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) | |
| accuracy | 1.4710089919903628 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) | |
| accuracy | 0.21875 | (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) | |
| accuracy | 0.26953125 | (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) | |
| accuracy | 0.41634750976844204 | (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) | |
| accuracy | 51.81169702971889 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 0.11556625976844201 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.296875 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) | |
| accuracy | 0.328125 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| accuracy | 51.81169702971889 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 0 | (/.f64 c b) | |
| accuracy | 0 | (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) | |
| accuracy | 6.4383547614343515 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| accuracy | 0.3359375 | (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) | |
| accuracy | 0.36166000976844204 | (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) | |
| accuracy | 0.36556625976844204 | (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) | |
| accuracy | 1.039191875626255 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b)) |
| 171.0ms | 202× | 1 | valid |
| 28.0ms | 54× | 0 | valid |
Compiled 1 197 to 123 computations (89.7% saved)
ival-mult: 33.0ms (23% of total)ival-div: 29.0ms (20.2% of total)ival-pow: 25.0ms (17.4% of total)adjust: 19.0ms (13.2% of total)ival-add: 15.0ms (10.5% of total)const: 8.0ms (5.6% of total)ival-sqrt: 7.0ms (4.9% of total)ival-sub: 5.0ms (3.5% of total)ival-neg: 2.0ms (1.4% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) (patch (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) (patch (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) (patch (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (patch (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (patch (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (patch (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (patch (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/2 c) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) (patch (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) (patch (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) (patch (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) (patch (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ()) |
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#s(alt (/ c b) (taylor inf c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor inf c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor inf c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor inf c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ()) |
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#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -3))) (/ b (pow (sqrt -3) 2))) c) (taylor inf c) (#s(alt (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) (patch (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) #<representation binary64>) () ())) ()) |
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#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 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 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) (taylor inf c) (#s(alt (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -3))) (/ b (* a (pow (sqrt -3) 2)))) c) (taylor inf c) (#s(alt (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c) (taylor inf c) (#s(alt (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 3) (- (* -9/16 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow c 2))))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 3) (- (* -9/16 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow c 2))))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) (/ b (* a (* c (pow (sqrt -3) 2))))) (taylor 0 b) (#s(alt (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (/ c b) (taylor inf b) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor inf b) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor inf b) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor inf b) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ()) |
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#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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) (patch (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* (pow a 2) (pow c 3)) (pow b 4)) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* a (pow c 3)) (taylor -inf a) (#s(alt (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (patch (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 3)) (taylor -inf a) (#s(alt (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (patch (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #<representation binary64>) () ())) ()) |
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#s(alt (* a (pow c 3)) (taylor -inf a) (#s(alt (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (patch (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | b | @ | 0 | ((+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (/ (pow c 3) (pow b 4)) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6))) (* (pow c 4) (pow a 4)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (pow c 3) a) a) (pow b 4)) (* (pow c 3) a) (* (* c c) -3/8)) |
| 12.0ms | c | @ | 0 | ((+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (/ (pow c 3) (pow b 4)) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6))) (* (pow c 4) (pow a 4)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (pow c 3) a) a) (pow b 4)) (* (pow c 3) a) (* (* c c) -3/8)) |
| 11.0ms | c | @ | -inf | ((+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (/ (pow c 3) (pow b 4)) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6))) (* (pow c 4) (pow a 4)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (pow c 3) a) a) (pow b 4)) (* (pow c 3) a) (* (* c c) -3/8)) |
| 11.0ms | c | @ | inf | ((+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (/ (pow c 3) (pow b 4)) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6))) (* (pow c 4) (pow a 4)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (pow c 3) a) a) (pow b 4)) (* (pow c 3) a) (* (* c c) -3/8)) |
| 9.0ms | b | @ | inf | ((+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (/ (pow c 3) (pow b 4)) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6))) (* (pow c 4) (pow a 4)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (pow c 3) a) a) (pow b 4)) (* (pow c 3) a) (* (* c c) -3/8)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1453 | 17219 |
| 1 | 4832 | 16936 |
| 0 | 8694 | 16225 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2)) |
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* -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)) |
(* -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)))) |
(* -1/2 (/ 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)))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -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)))) |
(* -3/2 (/ c b)) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) |
(* -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)))))))) |
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)))))))) |
(* -2/3 (/ b c)) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -2/3 b) (* c (- (* -1 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/ (+ (* -2/3 b) (* c (- (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(* -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)))) |
(* -2/3 (/ b (* a c))) |
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c) |
(/ (+ (* -2/3 (/ b a)) (* c (+ (* -1 (* c (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(/ (+ (* -2/3 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(* -1/2 c) |
(* c (- (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1/2)) |
(* c (- (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1/2)) |
(* c (- (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1/2)) |
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* -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)))) |
(* -1/2 (/ 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 (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) (* 1/2 (/ 1 (pow c 3))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))) (/ 1/2 (pow c 3)))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))) (/ 1/2 (pow c 3)))) |
(* -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)))) |
(* 1/3 (* (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 -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))))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c 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))))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1 (/ b (* a 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)))))) |
(* (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))) |
(* (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)))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -3))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -3))) (/ b (pow (sqrt -3) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (pow (sqrt -3) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (pow (sqrt -3) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c) |
(* 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))))))) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) |
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -3))) (/ b (* a (pow (sqrt -3) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow c 3) (- (* -9/16 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow c 2))))) |
(* (pow c 3) (- (* -9/16 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow c 2))))) |
(* (pow c 3) (- (* -9/16 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow c 2))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (/ 1/2 (pow c 2)))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (/ 1/2 (pow c 2)))) |
(* 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))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* -3 (* a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))) (/ 1/2 (pow c 3)))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))) (/ 1/2 (pow c 3)))) |
(* -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)))) |
(* -1/3 (* (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 (/ 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)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -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 -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -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))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -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 (* (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 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))) (/ b (pow (sqrt 3) 2))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c)) |
(* -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 (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) (/ b (* a (pow (sqrt 3) 2)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* b c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (/ (* b c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) c)) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -1 (* (pow c 3) (+ (* 9/16 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow c 2)))))) |
(* -1 (* (pow c 3) (+ (* 9/16 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow c 2)))))) |
(* -1 (* (pow c 3) (+ (* 9/16 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow c 2)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4)))))) |
(* -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))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* -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)))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 6)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -3/8 (* a (* (pow b 4) (pow c 2))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 4) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 4) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 6)) |
(* -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)) |
(* 1/3 (* (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))))) |
(* 1/3 (* (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 b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ 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))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 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))) |
(* (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))) |
(* (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))))))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -3))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2)))) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 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))))) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) |
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) (/ b (* a (* c (pow (sqrt -3) 2))))) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -1/2 (* (pow b 4) c))) (pow b 4)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -1/2 (* (pow b 4) c))) (pow b 4)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -1/2 (* (pow b 4) c))) (pow b 4)) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 4)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 4)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (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))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -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)))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -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 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) |
(* -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) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -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) |
(* -3/2 (/ c b)) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -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) |
(* -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) |
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))))))) |
(* -2/3 (/ b c)) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))) |
(* b (- (* -1 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))) |
(* b (- (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* 9/16 (* (pow a 3) (pow c 2))))) (pow b 6))) (+ (* -3/4 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* 2/3 (/ 1 c))))))) |
(* -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 c))) |
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a c)) (* 3/8 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a c)) (* 3/8 (* a c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 9/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -3/4 (/ (* a c) (pow b 4))) (+ (* 3/8 (/ (* a c) (pow b 4))) (* 2/3 (/ 1 (* a c))))))) |
(* -1/2 c) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c)) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c)) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* -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) |
(* -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))))) b) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(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 a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -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)))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -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)))) |
(* -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))))))) |
(* -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)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c 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))))))) |
(* -2 (/ b a)) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* -1 (* 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))))))) |
(* -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)))))))) |
(* -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)))))))) |
(* -1/2 (/ a b)) |
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) b)) |
(* -1 (/ (- (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -3/8 (/ (* (pow a 2) c) (pow b 2))))) 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 b) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -27/32 (* (pow a 3) (pow c 3))) (* -27/128 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2))))) b)) |
(* -1/2 c) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c)) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c)) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* -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 (/ (+ (* 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) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(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 a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(+ (* -1/2 c) (* a (+ (* -3/8 (/ (pow c 2) (pow b 2))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 6))) (* -9/16 (/ (pow c 3) (pow b 4)))))))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* a (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 6))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(+ (* -1/2 c) (* a (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 6))) (* -3/8 (/ (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 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))))))) |
(* -1/2 (/ 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))))))) |
(* -1/2 (/ 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))))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -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))))))) |
(* -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)))))))) |
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)))))))) |
(* -2/3 (/ b c)) |
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(* -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))))))) |
(* -2/3 (/ b (* a c))) |
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a) |
(/ (+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/ (+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(* -1/2 c) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c)) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c)) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(* -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))))))) |
(* -1/2 (/ 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 (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -9/16 (/ (pow c 3) (* a (pow b 4)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 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))))) |
(* 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 -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 -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)))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1 (/ 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))))) |
(* (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))) |
(* (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)))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -3))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) |
(* 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)))))) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) |
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2)))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) a) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (+ (* -1/2 (/ c (pow a 2))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (+ (* -1/2 (/ c (pow a 2))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))))) |
(* 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)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 4)))) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -1 (* (pow a 3) (+ (* 3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* 3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))) (+ (* 1/2 (/ c (pow a 3))) (* 135/128 (/ (pow c 4) (pow b 6))))))) |
(* -1 (* (pow a 3) (+ (* 3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))) (+ (* 1/2 (/ c (pow a 3))) (* 135/128 (/ (pow c 4) (pow b 6))))))) |
(* -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))))) |
(* -1/3 (* (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))))) |
(* -1/3 (* (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))))) |
(* -1/3 (* (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 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -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 (/ (+ 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))) |
(* -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)))))) |
(* -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)))))))) |
(* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* c (pow (sqrt 3) 2))))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (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 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))) (/ b (* c (pow (sqrt 3) 2)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a)) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4))))) |
(* -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))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* -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 a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
| Outputs |
|---|
(* -1/2 c) |
(*.f64 c #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c) |
(* -1/2 c) |
(*.f64 c #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c) |
(* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -135/128 binary64) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c) |
(* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -135/128 binary64) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c) |
(* -1/2 c) |
(*.f64 c #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* -3/2 (/ c b)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(*.f64 (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal -3/2 binary64) b)) c) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c (/.f64 #s(literal -3/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c (/.f64 #s(literal -3/2 binary64) b)) c) |
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(* 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)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b) |
(* -2/3 (/ b c)) |
(*.f64 (/.f64 b c) #s(literal -2/3 binary64)) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c) |
(/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c) |
(/ (+ (* -2/3 b) (* c (- (* -1 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c) |
(/ (+ (* -2/3 b) (* c (- (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 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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(* 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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(* (sqrt (/ c a)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) |
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
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(* (sqrt (/ a c)) (/ 1 (sqrt -3))) |
(/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -3))) (/ b (pow (sqrt -3) 2))) c) |
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(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (pow (sqrt -3) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c) |
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 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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(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) |
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(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -3))) (/ b (* a (pow (sqrt -3) 2)))) c) |
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(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c) |
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(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(*.f64 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -9/16 binary64)) |
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(* (pow c 3) (- (* -9/16 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow c 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c c))) (pow.f64 c #s(literal 3 binary64))) |
(* (pow c 3) (- (* -9/16 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow c 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c c))) (pow.f64 c #s(literal 3 binary64))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(*.f64 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -9/16 binary64)) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) c) (/.f64 a (*.f64 b b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 c #s(literal 3 binary64))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (/ 1/2 (pow c 2)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (*.f64 b b)) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c c)))) (pow.f64 c #s(literal 3 binary64))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (/ 1/2 (pow c 2)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (*.f64 b b)) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c c)))) (pow.f64 c #s(literal 3 binary64))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64)) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 a c)))) c) |
(* 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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(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) |
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(* (pow a 4) (pow c 4)) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (pow c 4)) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (pow c 4)) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (pow c 4)) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* -3 (* a c)) |
(*.f64 (*.f64 #s(literal -3 binary64) c) a) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a)))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(*.f64 (*.f64 a a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(*.f64 (*.f64 a a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(*.f64 (*.f64 a a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(*.f64 (*.f64 a a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(* a (pow c 3)) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(* a (pow c 3)) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(* a (pow c 3)) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(* a (pow c 3)) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 452 |
| 0 | 108 | 440 |
| 1 | 413 | 432 |
| 2 | 3407 | 432 |
| 0 | 8413 | 432 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) |
(fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) |
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
| Outputs |
|---|
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Compiled 72 626 to 6 375 computations (91.2% saved)
51 alts after pruning (50 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 963 | 40 | 2 003 |
| Fresh | 18 | 10 | 28 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 985 | 51 | 2 036 |
| Status | Accuracy | Program |
|---|---|---|
| 20.2% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) | |
| 20.2% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) a) #s(literal 3 binary64)) | |
| 19.5% | (/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(literal 3 binary64)) | |
| 19.5% | (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64)) | |
| 18.9% | (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))))) #s(literal 3 binary64)) | |
| 19.3% | (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64)) | |
| 20.0% | (/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) #s(literal 3 binary64)) | |
| 18.6% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) | |
| 18.5% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 89.5% | (/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64)) | |
| 19.5% | (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 20.1% | (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 18.8% | (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) | |
| 19.1% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 19.0% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 19.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| 19.5% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 19.1% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| ▶ | 95.5% | (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
| 89.8% | (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) | |
| 95.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 97.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 89.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 19.1% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64))) | |
| 19.1% | (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a))) | |
| 19.5% | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 19.1% | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)) | |
| 97.1% | (/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)) a)) | |
| 95.5% | (/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) a)) | |
| 89.4% | (/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a)) | |
| 95.6% | (/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) a)) | |
| 97.9% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c) b) (fma.f64 (/.f64 #s(literal -2/9 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) c) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))) | |
| 97.3% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))) | |
| 95.7% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))) | |
| 95.8% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))) | |
| 89.5% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) | |
| 97.9% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) c) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 c c)) (/.f64 #s(literal 405/64 binary64) a)) #s(literal -2/9 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 c c)))) (neg.f64 (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a b) (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 2/3 binary64) c))))) b))) | |
| 97.2% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))) | |
| 18.6% | (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) | |
| 18.7% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| 19.1% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 19.1% | (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) | |
| 96.0% | #s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 c #s(literal -1/2 binary64))) b)) | |
| 97.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b)) | |
| 97.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(approx (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c))) b)) | |
| ▶ | 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b)) |
| ▶ | 96.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)) |
| ▶ | 98.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
| 89.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| ✓ | 89.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ▶ | 89.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
Compiled 2 522 to 1 683 computations (33.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b)) | |
| cost-diff | 320 | (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b) | |
| cost-diff | 0 | #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) | |
| cost-diff | 320 | (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c) | |
| cost-diff | 0 | #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| cost-diff | 0 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) | |
| cost-diff | 0 | #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) | |
| cost-diff | 6464 | (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 1076 |
| 0 | 154 | 1076 |
| 1 | 287 | 1072 |
| 2 | 637 | 1012 |
| 3 | 1608 | 986 |
| 4 | 2474 | 986 |
| 5 | 3185 | 986 |
| 6 | 4074 | 986 |
| 7 | 5393 | 986 |
| 8 | 7624 | 986 |
| 0 | 8193 | 951 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) |
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) |
(fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 a a) |
a |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
#s(literal -9/16 binary64) |
(/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64))) |
(*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) |
#s(literal -135/128 binary64) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) c) |
(pow.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
c |
(pow.f64 b #s(literal 6 binary64)) |
#s(literal 6 binary64) |
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) |
(/.f64 a (*.f64 b b)) |
(*.f64 b b) |
#s(literal -3/8 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
c |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)) |
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b) |
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c) |
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) |
(/.f64 #s(literal -3/8 binary64) b) |
#s(literal -3/8 binary64) |
b |
(*.f64 a (/.f64 c b)) |
a |
(/.f64 c b) |
c |
#s(literal -1/2 binary64) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) |
(/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b) |
(fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) |
(/.f64 #s(literal -9/8 binary64) b) |
#s(literal -9/8 binary64) |
b |
(/.f64 (*.f64 (*.f64 c c) a) b) |
(*.f64 (*.f64 c c) a) |
(*.f64 c c) |
c |
a |
(*.f64 #s(literal -3/2 binary64) c) |
#s(literal -3/2 binary64) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b) |
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c) |
(fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 #s(literal -3/8 binary64) b) |
#s(literal -3/8 binary64) |
b |
(/.f64 a b) |
a |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) |
#s(literal -9/16 binary64) |
(*.f64 (*.f64 a a) c) |
(*.f64 a a) |
c |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))))) c (*.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) a)) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) |
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))))) c (*.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) a)) c #s(literal -1/2 binary64)) c)) b) |
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) |
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))))) c (*.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) a)) c #s(literal -1/2 binary64)) c)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))))) c (*.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) a)) c #s(literal -1/2 binary64)) c) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))))) c (*.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) a)) c #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))))) c (*.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) a)) |
(fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) |
(*.f64 (*.f64 a a) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) a) |
(*.f64 a a) |
a |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
#s(literal -9/16 binary64) |
(/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) c) (pow.f64 a #s(literal 3 binary64))) |
(*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) |
(*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64)) |
#s(literal -135/128 binary64) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) c) |
(*.f64 c (pow.f64 a #s(literal 3 binary64))) |
(pow.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
c |
(pow.f64 b #s(literal 6 binary64)) |
#s(literal 6 binary64) |
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) a) |
(/.f64 a (*.f64 b b)) |
(/.f64 (/.f64 a b) b) |
(*.f64 b b) |
#s(literal -3/8 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
c |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) (*.f64 c a) #s(literal -1/2 binary64)) c)) b)) |
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b) |
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) (*.f64 c a) #s(literal -1/2 binary64)) c)) b) |
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) |
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) (*.f64 c a) #s(literal -1/2 binary64)) c)) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) (*.f64 c a) #s(literal -1/2 binary64)) c) |
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) (*.f64 c a) #s(literal -1/2 binary64)) |
(/.f64 #s(literal -3/8 binary64) b) |
#s(literal -3/8 binary64) |
b |
(*.f64 a (/.f64 c b)) |
(*.f64 (/.f64 c b) a) |
a |
(/.f64 c b) |
c |
#s(literal -1/2 binary64) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 c (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 a b) #s(literal -3/2 binary64)) b))) #s(literal 3 binary64)) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 c (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 a b) #s(literal -3/2 binary64)) b))) |
(/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b) |
(*.f64 c (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 a b) #s(literal -3/2 binary64)) b)) |
(fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) |
(*.f64 c (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 a b) #s(literal -3/2 binary64))) |
(/.f64 #s(literal -9/8 binary64) b) |
#s(literal -9/8 binary64) |
b |
(/.f64 (*.f64 (*.f64 c c) a) b) |
(*.f64 (*.f64 (/.f64 c b) a) c) |
(*.f64 (*.f64 c c) a) |
(*.f64 c c) |
c |
a |
(*.f64 #s(literal -3/2 binary64) c) |
#s(literal -3/2 binary64) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) c) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b) |
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) c) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) c #s(literal -1/2 binary64)) c)) b) |
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) |
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) c) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) c #s(literal -1/2 binary64)) c)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c) |
(*.f64 (fma.f64 (*.f64 a (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) c) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) c #s(literal -1/2 binary64)) c) |
(fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 a (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) c) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) c #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 a (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) c) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) |
(/.f64 #s(literal -3/8 binary64) b) |
#s(literal -3/8 binary64) |
b |
(/.f64 a b) |
a |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (*.f64 a a)) |
(*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) |
(*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) |
#s(literal -9/16 binary64) |
(*.f64 (*.f64 a a) c) |
(*.f64 c (*.f64 a a)) |
(*.f64 a a) |
c |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.29296875 | (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) | |
| accuracy | 0.328125 | (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) | |
| accuracy | 0.3515625 | (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) | |
| accuracy | 1.4710089919903628 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b)) | |
| accuracy | 0.26171875 | (*.f64 (*.f64 c c) a) | |
| accuracy | 0.29296875 | (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b) | |
| accuracy | 0.328125 | (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) | |
| accuracy | 2.5200442309928532 | #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) | |
| accuracy | 0.08984375 | (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c) | |
| accuracy | 0.3359375 | (*.f64 a (/.f64 c b)) | |
| accuracy | 1.4710089919903628 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)) | |
| accuracy | 2.5005303143594095 | #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) | |
| accuracy | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| accuracy | 0.28125 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) | |
| accuracy | 6.4383547614343515 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) | |
| accuracy | 0.3203125 | (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) | |
| accuracy | 0.328788769536884 | (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64))) | |
| accuracy | 0.3359375 | (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) | |
| accuracy | 1.039191875626255 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
| 239.0ms | 202× | 1 | valid |
| 37.0ms | 54× | 0 | valid |
Compiled 1 391 to 160 computations (88.5% saved)
ival-mult: 74.0ms (34.1% of total)ival-div: 49.0ms (22.6% of total)ival-add: 29.0ms (13.4% of total)adjust: 27.0ms (12.5% of total)ival-pow: 17.0ms (7.8% of total)ival-sqrt: 7.0ms (3.2% of total)ival-sub: 5.0ms (2.3% of total)const: 4.0ms (1.8% of total)exact: 2.0ms (0.9% of total)ival-neg: 2.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) (patch (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) (patch (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) (patch #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ()) |
#s(alt (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) (patch (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) b) (patch (/.f64 #s(literal -1/2 binary64) b) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b) (patch (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) (patch #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c) (patch (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) (patch (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) (patch (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) (patch #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b) (patch (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) (patch (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b) (patch (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) (patch #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 c c) a) (patch (*.f64 (*.f64 c c) a) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (patch (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -9/16 (/ (pow a 2) (pow b 4))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) (patch (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4)))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) (patch (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4)))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) (patch (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -3/8 (/ a (pow b 2))) (taylor -inf a) (#s(alt (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 2))) (taylor -inf a) (#s(alt (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 2))) (taylor -inf a) (#s(alt (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 c c) a) (patch (*.f64 (*.f64 c c) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 c c) a) (patch (*.f64 (*.f64 c c) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 c c) a) (patch (*.f64 (*.f64 c c) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 c c) a) (patch (*.f64 (*.f64 c c) a) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (taylor -inf a) (#s(alt (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (taylor -inf a) (#s(alt (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (taylor -inf a) (#s(alt (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (taylor -inf a) (#s(alt (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (* (pow a 2) c)) (taylor -inf a) (#s(alt (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (patch (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (* (pow a 2) c)) (taylor -inf a) (#s(alt (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (patch (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (* (pow a 2) c)) (taylor -inf a) (#s(alt (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (patch (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (* (pow a 2) c)) (taylor -inf a) (#s(alt (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (patch (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | a | @ | -inf | ((+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/ (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) b) (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (* a a) (pow b 4)) (/ (* -135/128 (* (pow a 3) c)) (pow b 6)) (* (/ a (* b b)) -3/8) (* a (/ c b)) (* (* c c) a) (/ (* -9/16 (* (* a a) c)) (pow b 4)) (* -9/16 (* (* a a) c))) |
| 7.0ms | b | @ | 0 | ((+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/ (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) b) (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (* a a) (pow b 4)) (/ (* -135/128 (* (pow a 3) c)) (pow b 6)) (* (/ a (* b b)) -3/8) (* a (/ c b)) (* (* c c) a) (/ (* -9/16 (* (* a a) c)) (pow b 4)) (* -9/16 (* (* a a) c))) |
| 7.0ms | a | @ | inf | ((+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/ (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) b) (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (* a a) (pow b 4)) (/ (* -135/128 (* (pow a 3) c)) (pow b 6)) (* (/ a (* b b)) -3/8) (* a (/ c b)) (* (* c c) a) (/ (* -9/16 (* (* a a) c)) (pow b 4)) (* -9/16 (* (* a a) c))) |
| 7.0ms | a | @ | 0 | ((+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/ (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) b) (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (* a a) (pow b 4)) (/ (* -135/128 (* (pow a 3) c)) (pow b 6)) (* (/ a (* b b)) -3/8) (* a (/ c b)) (* (* c c) a) (/ (* -9/16 (* (* a a) c)) (pow b 4)) (* -9/16 (* (* a a) c))) |
| 7.0ms | c | @ | -inf | ((+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/ (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) b) (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (* a a) (pow b 4)) (/ (* -135/128 (* (pow a 3) c)) (pow b 6)) (* (/ a (* b b)) -3/8) (* a (/ c b)) (* (* c c) a) (/ (* -9/16 (* (* a a) c)) (pow b 4)) (* -9/16 (* (* a a) c))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 817 | 15787 |
| 1 | 2538 | 15620 |
| 0 | 8589 | 14950 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -9/16 (/ (pow a 2) (pow b 4))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4)))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4)))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4)))) |
(* -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)))) |
(* -1/2 (/ 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 (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2)) |
(* -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)))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -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)))) |
(* -1/2 (/ 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 (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* -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)) |
(* -3/2 c) |
(* c (- (* -9/8 (/ (* a c) (pow b 2))) 3/2)) |
(* c (- (* -9/8 (/ (* a c) (pow b 2))) 3/2)) |
(* c (- (* -9/8 (/ (* a c) (pow b 2))) 3/2)) |
(* -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)))) |
(* -3/2 (/ c b)) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) |
(* -3/2 (/ c b)) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* -3/8 (/ a (pow b 2))) |
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2)))) |
(* -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)))) |
(* -1/2 (/ 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 (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (* (pow a 2) c)) |
(* -9/16 (* (pow a 2) c)) |
(* -9/16 (* (pow a 2) c)) |
(* -9/16 (* (pow a 2) c)) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* c (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(* c (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(* c (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(* 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))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) (* 1/2 (/ 1 (pow c 3))))) |
(* 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))))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c 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))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (/ 1/2 (pow c 2)))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (/ 1/2 (pow c 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)))) |
(* -9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* (pow c 2) (- (* -9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c)))) |
(* (pow c 2) (- (* -9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c)))) |
(* (pow c 2) (- (* -9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c)))) |
(* 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))))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1 (/ b (* a 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)))))) |
(* -9/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* c (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c))))) |
(* c (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c))))) |
(* c (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c))))) |
(* 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))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (/ 1/2 (pow c 2)))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (/ 1/2 (pow c 2)))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (* (pow a 2) c)) |
(* -9/16 (* (pow a 2) c)) |
(* -9/16 (* (pow a 2) c)) |
(* -9/16 (* (pow a 2) c)) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 4) c))) (* 135/128 (/ (pow a 3) (pow b 6)))))) |
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 4) c))) (* 135/128 (/ (pow a 3) (pow b 6)))))) |
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 4) c))) (* 135/128 (/ (pow a 3) (pow b 6)))))) |
(* -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))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) |
(* -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)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -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))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4)))))) |
(* -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)))) |
(* -9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* (pow c 2) (- (* -9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c)))) |
(* (pow c 2) (- (* -9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c)))) |
(* (pow c 2) (- (* -9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c)))) |
(* -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 -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -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))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -9/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))))) |
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))))) |
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))))) |
(* -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))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4)))))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (* (pow a 2) c)) |
(* -9/16 (* (pow a 2) c)) |
(* -9/16 (* (pow a 2) c)) |
(* -9/16 (* (pow a 2) c)) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 6)) |
(* 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))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 6)) |
(* 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 b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 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))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5)) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 4)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 4)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 4)) |
(* -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)) |
(* -9/8 (/ (* a (pow c 2)) (pow b 2))) |
(/ (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* 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))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 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))) |
(* -9/8 (/ (* a (pow c 2)) (pow b 3))) |
(/ (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))) (pow b 3)) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 4)) |
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 4)) |
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 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))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5)) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 4)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 4)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 4)) |
(/ (pow a 2) (pow b 4)) |
(/ (pow a 2) (pow b 4)) |
(/ (pow a 2) (pow b 4)) |
(/ (pow a 2) (pow b 4)) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (pow a 2) (pow b 4))) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4)) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4)) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4)) |
(* -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) |
(* -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) |
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) |
(* -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) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(* -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) |
(* -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))))) b) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -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)))) |
(* -3/2 c) |
(+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -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) |
(* -3/2 (/ c b)) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -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) |
(* -3/2 (/ c b)) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(* -3/8 (/ a (pow b 2))) |
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 2)) |
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 2)) |
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 2)) |
(* -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) |
(* -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))))) b) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(/ (pow a 2) (pow b 4)) |
(/ (pow a 2) (pow b 4)) |
(/ (pow a 2) (pow b 4)) |
(/ (pow a 2) (pow b 4)) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (pow a 2) (pow b 4))) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4)) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4)) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4)) |
(* -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 (/ (+ (* 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) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) |
(* -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)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 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 (/ (+ (* 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) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -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)))) |
(* -3/2 c) |
(+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -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))))))) |
(* -2 (/ b a)) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* -1 (* 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 (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b)) |
(* -1 (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b)) |
(* -1 (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b)) |
(* -3/8 (/ a (pow b 2))) |
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 2)) |
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 2)) |
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 2)) |
(* -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 (/ (+ (* 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) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(/ (pow a 2) (pow b 4)) |
(/ (pow a 2) (pow b 4)) |
(/ (pow a 2) (pow b 4)) |
(/ (pow a 2) (pow b 4)) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (pow a 2) (pow b 4))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 6))) (* 9/16 (/ 1 (pow b 4))))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 6))) (* 9/16 (/ 1 (pow b 4))))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 6))) (* 9/16 (/ 1 (pow b 4))))) |
(* -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))))))) |
(* -1/2 (/ 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 (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(+ (* -1/2 c) (* a (+ (* -3/8 (/ (pow c 2) (pow b 2))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 6))) (* -9/16 (/ (pow c 3) (pow b 4)))))))) |
(* -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))))))) |
(* -1/2 (/ 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))))))) |
(* -1/2 (/ 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 (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (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)))) |
(* -3/2 c) |
(+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -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))))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -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))))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(* -3/8 (/ a (pow b 2))) |
(* a (- (* -9/16 (/ (* a c) (pow b 4))) (* 3/8 (/ 1 (pow b 2))))) |
(* a (- (* -9/16 (/ (* a c) (pow b 4))) (* 3/8 (/ 1 (pow b 2))))) |
(* a (- (* -9/16 (/ (* a c) (pow b 4))) (* 3/8 (/ 1 (pow b 2))))) |
(* -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))))))) |
(* -1/2 (/ 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 (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(/ (pow a 2) (pow b 4)) |
(/ (pow a 2) (pow b 4)) |
(/ (pow a 2) (pow b 4)) |
(/ (pow a 2) (pow b 4)) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (* (pow a 2) c)) |
(* -9/16 (* (pow a 2) c)) |
(* -9/16 (* (pow a 2) c)) |
(* -9/16 (* (pow a 2) c)) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* (pow a 3) (- (* -135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4)))))) |
(* (pow a 3) (- (* -135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4)))))) |
(* (pow a 3) (- (* -135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4)))))) |
(* 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)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -9/16 (/ (pow c 3) (* a (pow b 4)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))))) |
(* 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 -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)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (+ (* -1/2 (/ c (pow a 2))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (+ (* -1/2 (/ c (pow a 2))) (* -3/8 (/ (pow c 2) (* a (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))))) |
(* -9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* a (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* a (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* a (+ (* -3/2 (/ c a)) (* -9/8 (/ (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 (/ 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)))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1 (/ 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))))) |
(* -9/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 4))) (* 3/8 (/ 1 (* a (pow b 2)))))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 4))) (* 3/8 (/ 1 (* a (pow b 2)))))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 4))) (* 3/8 (/ 1 (* a (pow b 2)))))) |
(* 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)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (+ (* -1/2 (/ c (pow a 2))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (+ (* -1/2 (/ c (pow a 2))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))))) |
(/ (pow a 2) (pow b 4)) |
(/ (pow a 2) (pow b 4)) |
(/ (pow a 2) (pow b 4)) |
(/ (pow a 2) (pow b 4)) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (* (pow a 2) c)) |
(* -9/16 (* (pow a 2) c)) |
(* -9/16 (* (pow a 2) c)) |
(* -9/16 (* (pow a 2) c)) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4))))))) |
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4))))))) |
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4))))))) |
(* -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))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 4)))) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -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))))) |
(* -1/3 (* (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))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4))))) |
(* -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))))) |
(* -9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -1 (* a (+ (* 9/8 (/ (pow c 2) (pow b 2))) (* 3/2 (/ c a))))) |
(* -1 (* a (+ (* 9/8 (/ (pow c 2) (pow b 2))) (* 3/2 (/ c a))))) |
(* -1 (* a (+ (* 9/8 (/ (pow c 2) (pow b 2))) (* 3/2 (/ c a))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (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 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -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 (/ (+ 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))) |
(* -9/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b)))))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 4))) (* 3/8 (/ 1 (* a (pow b 2)))))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 4))) (* 3/8 (/ 1 (* a (pow b 2)))))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 4))) (* 3/8 (/ 1 (* a (pow b 2)))))) |
(* -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))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4))))) |
(/ (pow a 2) (pow b 4)) |
(/ (pow a 2) (pow b 4)) |
(/ (pow a 2) (pow b 4)) |
(/ (pow a 2) (pow b 4)) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (* (pow a 2) c)) |
(* -9/16 (* (pow a 2) c)) |
(* -9/16 (* (pow a 2) c)) |
(* -9/16 (* (pow a 2) c)) |
| Outputs |
|---|
(* -9/16 (/ (pow a 2) (pow b 4))) |
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4)))) |
(fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4)))) |
(fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4)))) |
(fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 b a)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 b a)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 b a)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c) |
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c) |
(* -3/2 c) |
(*.f64 #s(literal -3/2 binary64) c) |
(* c (- (* -9/8 (/ (* a c) (pow b 2))) 3/2)) |
(*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) c) |
(* c (- (* -9/8 (/ (* a c) (pow b 2))) 3/2)) |
(*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) c) |
(* c (- (* -9/8 (/ (* a c) (pow b 2))) 3/2)) |
(*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) c) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
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(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 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))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) a)) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) b) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -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))) |
(neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) a)) a))) |
(* -9/8 (/ (* a (pow c 2)) (pow b 3))) |
(*.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) |
(* -1 (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b)))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal 3/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) #s(literal 9/8 binary64)) (pow.f64 b #s(literal 3 binary64))))) |
(* -1 (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b)))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal 3/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) #s(literal 9/8 binary64)) (pow.f64 b #s(literal 3 binary64))))) |
(* -1 (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b)))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal 3/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) #s(literal 9/8 binary64)) (pow.f64 b #s(literal 3 binary64))))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(*.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64)))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 4))) (* 3/8 (/ 1 (* a (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) a))) (*.f64 a a)) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 4))) (* 3/8 (/ 1 (* a (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) a))) (*.f64 a a)) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 4))) (* 3/8 (/ 1 (* a (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) a))) (*.f64 a a)) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.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))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.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))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 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))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) a)) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(*.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 a a)) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) #s(literal 3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a))) (*.f64 a a)) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) #s(literal 3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a))) (*.f64 a a)) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64)))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) a) (*.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 a a)) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal 1/2 binary64))) (neg.f64 a))) (*.f64 a a)) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal 1/2 binary64))) (neg.f64 a))) (*.f64 a a)) |
(/ (pow a 2) (pow b 4)) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow a 2) (pow b 4)) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow a 2) (pow b 4)) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow a 2) (pow b 4)) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 6 binary64)))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 6 binary64)))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 6 binary64)))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 6 binary64)))) |
(* -3/8 (/ a (pow b 2))) |
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 2))) |
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 2))) |
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 2))) |
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(* a (pow c 2)) |
(*.f64 (*.f64 c c) a) |
(* a (pow c 2)) |
(*.f64 (*.f64 c c) a) |
(* a (pow c 2)) |
(*.f64 (*.f64 c c) a) |
(* a (pow c 2)) |
(*.f64 (*.f64 c c) a) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(*.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64)))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(*.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64)))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(*.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64)))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 4))) |
(*.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64)))) |
(* -9/16 (* (pow a 2) c)) |
(*.f64 (*.f64 (*.f64 c a) a) #s(literal -9/16 binary64)) |
(* -9/16 (* (pow a 2) c)) |
(*.f64 (*.f64 (*.f64 c a) a) #s(literal -9/16 binary64)) |
(* -9/16 (* (pow a 2) c)) |
(*.f64 (*.f64 (*.f64 c a) a) #s(literal -9/16 binary64)) |
(* -9/16 (* (pow a 2) c)) |
(*.f64 (*.f64 (*.f64 c a) a) #s(literal -9/16 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 825 |
| 0 | 154 | 819 |
| 1 | 639 | 815 |
| 2 | 5556 | 815 |
| 0 | 8148 | 788 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) |
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)) |
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b) |
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c) |
(fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) |
(/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b) |
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b) |
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) |
(/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64))) |
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) |
(*.f64 a (/.f64 c b)) |
(*.f64 (*.f64 c c) a) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) |
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Compiled 35 951 to 3 784 computations (89.5% saved)
50 alts after pruning (48 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 264 | 7 | 1 271 |
| Fresh | 4 | 41 | 45 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 272 | 50 | 1 322 |
| Status | Accuracy | Program |
|---|---|---|
| 20.2% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) | |
| 20.2% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) a) #s(literal 3 binary64)) | |
| 19.5% | (/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(literal 3 binary64)) | |
| 19.5% | (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64)) | |
| 18.9% | (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))))) #s(literal 3 binary64)) | |
| 19.3% | (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64)) | |
| 20.0% | (/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) #s(literal 3 binary64)) | |
| 18.6% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) | |
| 19.5% | (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 20.1% | (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| ▶ | 18.8% | (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) |
| 19.1% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 19.0% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 19.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| 19.5% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 19.1% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 95.5% | (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) | |
| 89.4% | (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) | |
| 89.8% | (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) | |
| 89.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 19.1% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64))) | |
| 19.1% | (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a))) | |
| 19.5% | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 19.1% | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)) | |
| 97.1% | (/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)) a)) | |
| 95.5% | (/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) a)) | |
| 89.4% | (/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a)) | |
| 95.6% | (/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) a)) | |
| 97.9% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c) b) (fma.f64 (/.f64 #s(literal -2/9 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) c) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))) | |
| 97.3% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))) | |
| 95.7% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))) | |
| ▶ | 95.8% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))) |
| 89.5% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) | |
| 97.9% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) c) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 c c)) (/.f64 #s(literal 405/64 binary64) a)) #s(literal -2/9 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 c c)))) (neg.f64 (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a b) (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 2/3 binary64) c))))) b))) | |
| ▶ | 97.2% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))) |
| 18.6% | (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) | |
| 18.7% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| 19.1% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 19.1% | (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) | |
| 96.0% | #s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 c #s(literal -1/2 binary64))) b)) | |
| 97.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b)) | |
| 97.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(approx (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c))) b)) | |
| 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b)) | |
| 96.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) | |
| 95.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) #s(approx (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (*.f64 (fma.f64 (/.f64 a b) (/.f64 #s(literal -3/8 binary64) b) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c)))) b)) | |
| ▶ | 98.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
| ▶ | 89.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| ✓ | 89.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ✓ | 89.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| 97.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))))) |
Compiled 2 404 to 1 616 computations (32.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))) | |
| cost-diff | 64 | (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c))) | |
| cost-diff | 512 | (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) | |
| cost-diff | 384 | (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) | |
| cost-diff | 704 | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) | |
| cost-diff | 0 | (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c) | |
| cost-diff | 0 | #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))) | |
| cost-diff | 0 | (/.f64 b c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| cost-diff | 384 | (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) | |
| cost-diff | 0 | #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) | |
| cost-diff | 6464 | (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 1051 |
| 0 | 159 | 1051 |
| 1 | 292 | 1047 |
| 2 | 688 | 1020 |
| 3 | 1780 | 991 |
| 4 | 3531 | 985 |
| 5 | 5412 | 985 |
| 0 | 8136 | 950 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) |
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) |
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c) |
(fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) |
(fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) |
#s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) |
(*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) |
(*.f64 (*.f64 a a) #s(literal -9/16 binary64)) |
(*.f64 a a) |
a |
#s(literal -9/16 binary64) |
b |
(*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64)) |
(*.f64 c (pow.f64 a #s(literal 3 binary64))) |
c |
(pow.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -135/128 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
#s(literal 6 binary64) |
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) |
(/.f64 a (*.f64 b b)) |
(*.f64 b b) |
#s(literal -3/8 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
#s(literal -1/2 binary64) |
(/.f64 b c) |
b |
c |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))) |
#s(literal 1/3 binary64) |
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)) |
(/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c) |
(fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) |
#s(literal -2/3 binary64) |
b |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)) |
(*.f64 a (/.f64 c b)) |
a |
(/.f64 c b) |
c |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(/.f64 b a) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))) |
#s(literal 1/3 binary64) |
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)) |
(*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b) |
(neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c))) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) |
(*.f64 (*.f64 a a) c) |
(*.f64 a a) |
a |
c |
#s(literal -3/8 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)) |
(/.f64 a (*.f64 b b)) |
(*.f64 b b) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 2/3 binary64) c) |
#s(literal 2/3 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -135/128 binary64) c) a (*.f64 (*.f64 b #s(literal -9/16 binary64)) b))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) |
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -135/128 binary64) c) a (*.f64 (*.f64 b #s(literal -9/16 binary64)) b))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) c #s(literal -1/2 binary64)) c)) b) |
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) |
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -135/128 binary64) c) a (*.f64 (*.f64 b #s(literal -9/16 binary64)) b))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) c #s(literal -1/2 binary64)) c)) |
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c) |
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -135/128 binary64) c) a (*.f64 (*.f64 b #s(literal -9/16 binary64)) b))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) c #s(literal -1/2 binary64)) c) |
(fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -135/128 binary64) c) a (*.f64 (*.f64 b #s(literal -9/16 binary64)) b))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) c #s(literal -1/2 binary64)) |
(fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) |
(fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -135/128 binary64) c) a (*.f64 (*.f64 b #s(literal -9/16 binary64)) b))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) |
#s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) |
#s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -135/128 binary64) c) a (*.f64 (*.f64 b #s(literal -9/16 binary64)) b))) (pow.f64 b #s(literal 6 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -135/128 binary64) c) a (*.f64 (*.f64 b #s(literal -9/16 binary64)) b))) (pow.f64 b #s(literal 6 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) |
(*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -135/128 binary64) c) a (*.f64 (*.f64 b #s(literal -9/16 binary64)) b))) |
(*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) |
(*.f64 b (*.f64 #s(literal -9/16 binary64) (*.f64 a a))) |
(*.f64 (*.f64 a a) #s(literal -9/16 binary64)) |
(*.f64 #s(literal -9/16 binary64) (*.f64 a a)) |
(*.f64 a a) |
a |
#s(literal -9/16 binary64) |
b |
(*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64)) |
(*.f64 (*.f64 #s(literal -135/128 binary64) c) (pow.f64 a #s(literal 3 binary64))) |
(*.f64 c (pow.f64 a #s(literal 3 binary64))) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) c) |
c |
(pow.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -135/128 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
#s(literal 6 binary64) |
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) |
(*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))) |
(/.f64 a (*.f64 b b)) |
(*.f64 b b) |
#s(literal -3/8 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b) |
#s(literal -1/2 binary64) |
(/.f64 b c) |
b |
c |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c))) |
#s(literal 1/3 binary64) |
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)) |
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)) |
(/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c) |
(/.f64 (fma.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c) |
(fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) |
#s(literal -2/3 binary64) |
b |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64)) |
(*.f64 a (/.f64 c b)) |
(*.f64 (/.f64 c b) a) |
a |
(/.f64 c b) |
c |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) a)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(/.f64 b a) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) c (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal -2/3 binary64) c)) b))) |
#s(literal 1/3 binary64) |
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)) |
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) c (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal -2/3 binary64) c)) b)) |
(*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) c (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal -2/3 binary64) c)) b) |
(neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) c (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal -2/3 binary64) c)) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 4 binary64))) c) a (/.f64 (/.f64 #s(literal -1/2 binary64) b) b)) a (/.f64 #s(literal 2/3 binary64) c)) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) a) (*.f64 #s(literal -3/8 binary64) a)) |
(*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) |
(*.f64 (*.f64 c (*.f64 a a)) #s(literal -3/8 binary64)) |
(*.f64 (*.f64 a a) c) |
(*.f64 c (*.f64 a a)) |
(*.f64 a a) |
a |
c |
#s(literal -3/8 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) c)) |
(/.f64 a (*.f64 b b)) |
(*.f64 b b) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 2/3 binary64) c) |
#s(literal 2/3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.37890625 | (/.f64 #s(literal 2/3 binary64) c) | |
| accuracy | 0.403007519536884 | (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) | |
| accuracy | 0.41634750976844204 | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))) | |
| accuracy | 1.389053323658499 | #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)) | |
| accuracy | 0.078125 | (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) | |
| accuracy | 0.11556625976844201 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.328125 | (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) | |
| accuracy | 51.953705879011174 | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) | |
| accuracy | 0.32421875 | (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) | |
| accuracy | 0.3359375 | (*.f64 a (/.f64 c b)) | |
| accuracy | 0.41634750976844204 | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))) | |
| accuracy | 2.385238945829084 | #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 0.28125 | (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) | |
| accuracy | 6.4383547614343515 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| accuracy | 0.265625 | (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) | |
| accuracy | 0.3203125 | (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) | |
| accuracy | 0.34603500976844204 | (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))) | |
| accuracy | 1.039191875626255 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
| 267.0ms | 204× | 1 | valid |
| 38.0ms | 52× | 0 | valid |
Compiled 1 355 to 164 computations (87.9% saved)
ival-mult: 72.0ms (29.3% of total)ival-div: 51.0ms (20.7% of total)ival-pow: 30.0ms (12.2% of total)adjust: 27.0ms (11% of total)ival-add: 25.0ms (10.2% of total)const: 20.0ms (8.1% of total)ival-sqrt: 7.0ms (2.8% of total)ival-sub: 7.0ms (2.8% of total)ival-neg: 4.0ms (1.6% of total)exact: 2.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) (patch (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) (patch #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) #<representation binary64>) () ()) |
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))) (patch (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)) (patch #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c) (patch (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) (patch (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) (patch (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) (patch (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c))) (patch (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))) (patch (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)) (patch #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (patch (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) #<representation binary64>) () ()) |
#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2/3 binary64) c) (patch (/.f64 #s(literal 2/3 binary64) c) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -9/16 (* (pow a 2) (pow b 2))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (/ b c) (taylor inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -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 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) (patch (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) (patch (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) (patch (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) (patch (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
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#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))) (/ 1 a))))) (taylor inf b) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
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#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 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4))))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 2))) (taylor -inf a) (#s(alt (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 2))) (taylor -inf a) (#s(alt (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 2))) (taylor -inf a) (#s(alt (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 2))) (taylor -inf a) (#s(alt (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (* (pow a 2) b)) (taylor -inf a) (#s(alt (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (patch (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (* (pow a 2) b)) (taylor -inf a) (#s(alt (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (patch (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (* (pow a 2) b)) (taylor -inf a) (#s(alt (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (patch (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (* (pow a 2) b)) (taylor -inf a) (#s(alt (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (patch (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* (pow a 2) c) (pow b 4))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* (pow a 2) c) (pow b 4))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* (pow a 2) c) (pow b 4))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* (pow a 2) c) (pow b 4))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | c | @ | -inf | ((+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) (/ (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) 3) (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (sqrt (+ (* (* -3 c) a) (* b b))) (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c))) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (pow b 6)) (* (/ a (* b b)) -3/8) (* (* (* a a) -9/16) b) (* a (/ c b)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (* a a) c) -3/8) (pow b 4)) (/ 2/3 c)) |
| 6.0ms | a | @ | -inf | ((+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) (/ (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) 3) (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (sqrt (+ (* (* -3 c) a) (* b b))) (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c))) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (pow b 6)) (* (/ a (* b b)) -3/8) (* (* (* a a) -9/16) b) (* a (/ c b)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (* a a) c) -3/8) (pow b 4)) (/ 2/3 c)) |
| 6.0ms | b | @ | 0 | ((+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) (/ (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) 3) (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (sqrt (+ (* (* -3 c) a) (* b b))) (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c))) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (pow b 6)) (* (/ a (* b b)) -3/8) (* (* (* a a) -9/16) b) (* a (/ c b)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (* a a) c) -3/8) (pow b 4)) (/ 2/3 c)) |
| 6.0ms | b | @ | inf | ((+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) (/ (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) 3) (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (sqrt (+ (* (* -3 c) a) (* b b))) (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c))) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (pow b 6)) (* (/ a (* b b)) -3/8) (* (* (* a a) -9/16) b) (* a (/ c b)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (* a a) c) -3/8) (pow b 4)) (/ 2/3 c)) |
| 6.0ms | c | @ | 0 | ((+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) (/ (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) 3) (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (sqrt (+ (* (* -3 c) a) (* b b))) (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c))) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (pow b 6)) (* (/ a (* b b)) -3/8) (* (* (* a a) -9/16) b) (* a (/ c b)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (* a a) c) -3/8) (pow b 4)) (/ 2/3 c)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1372 | 17690 |
| 1 | 4520 | 17403 |
| 0 | 9222 | 16619 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -9/16 (* (pow a 2) (pow b 2))) |
(+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) |
(+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) |
(+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) |
(* -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)))) |
(* -1/2 (/ 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 (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -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)))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -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)))) |
(* -2/3 (/ b c)) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -2/3 b) (* c (- (* -1 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/ (+ (* -2/3 b) (* c (- (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(* -2/3 (/ b c)) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c) |
(* -2/3 b) |
(+ (* -2/3 b) (* 1/2 (/ (* a c) b))) |
(+ (* -2/3 b) (* 1/2 (/ (* a c) b))) |
(+ (* -2/3 b) (* 1/2 (/ (* a c) b))) |
(* -3/2 (/ c b)) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) |
(* -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)))) |
(/ b a) |
(+ (* -3/2 (/ c b)) (/ b a)) |
(+ (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) (/ b a)) |
(+ (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) (/ b a)) |
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)))))))) |
(/ -2/3 c) |
(/ (- (* 1/2 (/ (* a c) (pow b 2))) 2/3) c) |
(/ (- (* c (- (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* -1/2 (/ a (pow b 2))))) 2/3) c) |
(/ (- (* c (- (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* -1/2 (/ a (pow b 2))))) 2/3) c) |
(/ 2/3 c) |
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) c) |
(/ (+ 2/3 (* c (+ (* -1/2 (/ a (pow b 2))) (* -3/8 (/ (* (pow a 2) c) (pow b 4)))))) c) |
(/ (+ 2/3 (* c (+ (* -1/2 (/ a (pow b 2))) (* -3/8 (/ (* (pow a 2) c) (pow b 4)))))) c) |
(* -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)))) |
(* -2/3 (/ b c)) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -2/3 b) (* c (- (* -1 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/ (+ (* -2/3 b) (* c (- (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(* -9/16 (/ (pow a 2) (pow b 4))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4)))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4)))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4)))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(/ 2/3 c) |
(/ 2/3 c) |
(/ 2/3 c) |
(/ 2/3 c) |
(* -135/128 (* (pow a 3) c)) |
(* c (+ (* -135/128 (pow a 3)) (* -9/16 (/ (* (pow a 2) (pow b 2)) c)))) |
(* c (+ (* -135/128 (pow a 3)) (* -9/16 (/ (* (pow a 2) (pow b 2)) c)))) |
(* c (+ (* -135/128 (pow a 3)) (* -9/16 (/ (* (pow a 2) (pow b 2)) c)))) |
(* 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))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) (* 1/2 (/ 1 (pow c 3))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c 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))))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* 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))))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -3))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -3))) (/ b (pow (sqrt -3) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (pow (sqrt -3) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (pow (sqrt -3) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c) |
(* 1/2 (/ a b)) |
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) |
(* 1/2 (/ (* a c) b)) |
(* c (+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))) |
(* c (+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))) |
(* c (+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* 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)))) |
(* 1/3 (* (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))))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* 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))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -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)))))) |
(* 3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* c (- (* 1/2 (/ a (* (pow b 2) c))) (* -3/8 (/ (pow a 2) (pow b 4))))) |
(* c (- (* -1 (/ (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))) c)) (* -3/8 (/ (pow a 2) (pow b 4))))) |
(* c (- (* -1 (/ (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))) c)) (* -3/8 (/ (pow a 2) (pow b 4))))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* c (+ (* -1/2 (/ a (* (pow b 2) c))) (* -3/8 (/ (pow a 2) (pow b 4))))) |
(* c (+ (* -1/2 (/ a (* (pow b 2) c))) (+ (* -3/8 (/ (pow a 2) (pow b 4))) (/ 2/3 (pow c 2))))) |
(* c (+ (* -1/2 (/ a (* (pow b 2) c))) (+ (* -3/8 (/ (pow a 2) (pow b 4))) (/ 2/3 (pow c 2))))) |
(* 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))))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -3))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -3))) (/ b (pow (sqrt -3) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (pow (sqrt -3) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (pow (sqrt -3) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* c (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(* c (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(* c (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -3 (* a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(/ 2/3 c) |
(/ 2/3 c) |
(/ 2/3 c) |
(/ 2/3 c) |
(* -135/128 (* (pow a 3) c)) |
(* -1 (* c (+ (* 9/16 (/ (* (pow a 2) (pow b 2)) c)) (* 135/128 (pow a 3))))) |
(* -1 (* c (+ (* 9/16 (/ (* (pow a 2) (pow b 2)) c)) (* 135/128 (pow a 3))))) |
(* -1 (* c (+ (* 9/16 (/ (* (pow a 2) (pow b 2)) c)) (* 135/128 (pow a 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))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -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))))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -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 (/ a c)) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))) (/ b (pow (sqrt 3) 2))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c)) |
(* 1/2 (/ a b)) |
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) |
(* 1/2 (/ (* a c) b)) |
(* -1 (* c (+ (* -1/2 (/ a b)) (* 2/3 (/ b c))))) |
(* -1 (* c (+ (* -1/2 (/ a b)) (* 2/3 (/ b c))))) |
(* -1 (* c (+ (* -1/2 (/ a b)) (* 2/3 (/ b c))))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(* -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)))))) |
(* -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 -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (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)))))))) |
(* 3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -1 (* c (- (* -1/2 (/ a (* (pow b 2) c))) (* 3/8 (/ (pow a 2) (pow b 4)))))) |
(* -1 (* c (- (+ (* -1/2 (/ a (* (pow b 2) c))) (/ 2/3 (pow c 2))) (* 3/8 (/ (pow a 2) (pow b 4)))))) |
(* -1 (* c (- (+ (* -1/2 (/ a (* (pow b 2) c))) (/ 2/3 (pow c 2))) (* 3/8 (/ (pow a 2) (pow b 4)))))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -1 (* c (+ (* 3/8 (/ (pow a 2) (pow b 4))) (* 1/2 (/ a (* (pow b 2) c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))) c)) (* 3/8 (/ (pow a 2) (pow b 4)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))) c)) (* 3/8 (/ (pow a 2) (pow b 4)))))) |
(* -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 (/ a c)) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))) (/ b (pow (sqrt 3) 2))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c)) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 4) c))) (* 135/128 (/ (pow a 3) (pow b 6)))))) |
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 4) c))) (* 135/128 (/ (pow a 3) (pow b 6)))))) |
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 4) c))) (* 135/128 (/ (pow a 3) (pow b 6)))))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -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)))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(/ 2/3 c) |
(/ 2/3 c) |
(/ 2/3 c) |
(/ 2/3 c) |
(* -135/128 (* (pow a 3) c)) |
(+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) |
(+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) |
(+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 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))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 6)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ 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))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* 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))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -3))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2)))) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(* 1/2 (/ a b)) |
(/ (+ (* -2/3 (/ (pow b 2) c)) (* 1/2 a)) b) |
(/ (+ (* -2/3 (/ (pow b 2) c)) (* 1/2 a)) b) |
(/ (+ (* -2/3 (/ (pow b 2) c)) (* 1/2 a)) b) |
(* 1/2 (/ (* a c) b)) |
(/ (+ (* -2/3 (pow b 2)) (* 1/2 (* a c))) b) |
(/ (+ (* -2/3 (pow b 2)) (* 1/2 (* a c))) b) |
(/ (+ (* -2/3 (pow b 2)) (* 1/2 (* a c))) b) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 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))) |
(* 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))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* (sqrt (/ c a)) (sqrt -3)) (* (pow b 2) (+ (* -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))))))) |
(+ (* (sqrt (/ c a)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(* (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))))))))) |
(* 3/8 (/ (* (pow a 2) c) (pow b 4))) |
(/ (- (* 1/2 (* a (pow b 2))) (* -3/8 (* (pow a 2) c))) (pow b 4)) |
(/ (- (* (pow b 2) (- (* -2/3 (/ (pow b 2) c)) (* -1/2 a))) (* -3/8 (* (pow a 2) c))) (pow b 4)) |
(/ (- (* (pow b 2) (- (* -2/3 (/ (pow b 2) c)) (* -1/2 a))) (* -3/8 (* (pow a 2) c))) (pow b 4)) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(/ (+ (* -1/2 (* a (pow b 2))) (* -3/8 (* (pow a 2) c))) (pow b 4)) |
(/ (+ (* -3/8 (* (pow a 2) c)) (* (pow b 2) (+ (* -1/2 a) (* 2/3 (/ (pow b 2) c))))) (pow b 4)) |
(/ (+ (* -3/8 (* (pow a 2) c)) (* (pow b 2) (+ (* -1/2 a) (* 2/3 (/ (pow b 2) c))))) (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))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -3))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2)))) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 6)) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -9/16 (* (pow a 2) b)) |
(* -9/16 (* (pow a 2) b)) |
(* -9/16 (* (pow a 2) b)) |
(* -9/16 (* (pow a 2) b)) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2)))) |
(* (pow b 2) (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2)))) |
(* (pow b 2) (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2)))) |
(* -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) |
(* -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) |
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -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) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -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 c)) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))) |
(* b (- (* -1 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))) |
(* b (- (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* 9/16 (* (pow a 3) (pow c 2))))) (pow b 6))) (+ (* -3/4 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* 2/3 (/ 1 c))))))) |
(* -2/3 (/ b c)) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))) |
(* -2/3 b) |
(* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3)) |
(* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3)) |
(* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3)) |
(* -3/2 (/ c b)) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -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) |
(* -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) |
(/ b a) |
(* b (+ (* -3/2 (/ c (pow b 2))) (/ 1 a))) |
(* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 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))) (/ 1 a))))) |
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))))))) |
(/ -2/3 c) |
(- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))) |
(- (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))) |
(- (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))) |
(/ 2/3 c) |
(+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))) |
(+ (* -1/2 (/ a (pow b 2))) (+ (* -3/8 (/ (* (pow a 2) c) (pow b 4))) (* 2/3 (/ 1 c)))) |
(+ (* -1/2 (/ a (pow b 2))) (+ (* -3/8 (/ (* (pow a 2) c) (pow b 4))) (* 2/3 (/ 1 c)))) |
(* -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 c)) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))) |
(* b (- (* -1 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))) |
(* b (- (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* 9/16 (* (pow a 3) (pow c 2))))) (pow b 6))) (+ (* -3/4 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* 2/3 (/ 1 c))))))) |
(* -9/16 (/ (pow a 2) (pow b 4))) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4)) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4)) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4)) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -9/16 (* (pow a 2) b)) |
(* -9/16 (* (pow a 2) b)) |
(* -9/16 (* (pow a 2) b)) |
(* -9/16 (* (pow a 2) b)) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(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))))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2)))) |
(* (pow b 2) (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2)))) |
(* (pow b 2) (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2)))) |
(* -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 (/ (+ (* 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) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c 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))))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -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 (/ a b)) |
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) b)) |
(* -1 (/ (- (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -3/8 (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -2/3 (/ b c)) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))) |
(* -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)))))) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -2 (/ b a)) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* -1 (* 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))))))) |
(* -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 (/ b a)) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* 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))) (/ 1 a)))))) |
(* -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)))))))) |
(/ -2/3 c) |
(- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))) |
(- (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))) |
(- (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))) |
(/ 2/3 c) |
(+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))) |
(+ (* -1/2 (/ a (pow b 2))) (+ (* -3/8 (/ (* (pow a 2) c) (pow b 4))) (* 2/3 (/ 1 c)))) |
(+ (* -1/2 (/ a (pow b 2))) (+ (* -3/8 (/ (* (pow a 2) c) (pow b 4))) (* 2/3 (/ 1 c)))) |
(* -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 (/ a b)) |
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) b)) |
(* -1 (/ (- (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -3/8 (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -9/16 (/ (pow a 2) (pow b 4))) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4)) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4)) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4)) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -9/16 (* (pow a 2) b)) |
(* -9/16 (* (pow a 2) b)) |
(* -9/16 (* (pow a 2) b)) |
(* -9/16 (* (pow a 2) b)) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(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))))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -9/16 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* -135/128 (* a c)) (* -9/16 (pow b 2)))) |
(* (pow a 2) (+ (* -135/128 (* a c)) (* -9/16 (pow b 2)))) |
(* (pow a 2) (+ (* -135/128 (* a c)) (* -9/16 (pow b 2)))) |
(* -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))))))) |
(* -1/2 (/ 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 (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(+ (* -1/2 c) (* a (+ (* -3/8 (/ (pow c 2) (pow b 2))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 6))) (* -9/16 (/ (pow c 3) (pow b 4)))))))) |
(* -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))))))) |
(* -1/2 (/ 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))))))) |
(* -2/3 (/ b c)) |
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(* -2/3 (/ b c)) |
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) |
(* -2/3 b) |
(+ (* -2/3 b) (* 1/2 (/ (* a c) b))) |
(+ (* -2/3 b) (* 1/2 (/ (* a c) b))) |
(+ (* -2/3 b) (* 1/2 (/ (* a c) b))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -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))))))) |
(* -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))))))) |
(/ b a) |
(/ (+ b (* -3/2 (/ (* a c) b))) a) |
(/ (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ 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) |
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)))))))) |
(/ -2/3 c) |
(- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))) |
(- (* a (+ (* 3/8 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (pow b 2))))) (* 2/3 (/ 1 c))) |
(- (* a (+ (* 3/8 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (pow b 2))))) (* 2/3 (/ 1 c))) |
(/ 2/3 c) |
(+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))) |
(+ (* a (- (* -3/8 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (pow b 2))))) (* 2/3 (/ 1 c))) |
(+ (* a (- (* -3/8 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (pow b 2))))) (* 2/3 (/ 1 c))) |
(* -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))))))) |
(* -2/3 (/ b c)) |
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(* -9/16 (/ (pow a 2) (pow b 4))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 6))) (* 9/16 (/ 1 (pow b 4))))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 6))) (* 9/16 (/ 1 (pow b 4))))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 6))) (* 9/16 (/ 1 (pow b 4))))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -9/16 (* (pow a 2) b)) |
(* -9/16 (* (pow a 2) b)) |
(* -9/16 (* (pow a 2) b)) |
(* -9/16 (* (pow a 2) b)) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -135/128 (* (pow a 3) c)) |
(* (pow a 3) (+ (* -135/128 c) (* -9/16 (/ (pow b 2) a)))) |
(* (pow a 3) (+ (* -135/128 c) (* -9/16 (/ (pow b 2) a)))) |
(* (pow a 3) (+ (* -135/128 c) (* -9/16 (/ (pow b 2) a)))) |
(* 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)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -9/16 (/ (pow c 3) (* a (pow b 4)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))))) |
(* 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 -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)))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -3))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) |
(* 1/2 (/ a b)) |
(* a (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* a (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* a (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* 1/2 (/ (* a c) b)) |
(* a (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))) |
(* a (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))) |
(* a (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(- (+ (* 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)) |
(* 1/3 (* (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)))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -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)))) |
(+ (* -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))))) |
(* (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)))))) |
(* 3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* (pow a 2) (- (* 1/2 (/ 1 (* a (pow b 2)))) (* -3/8 (/ c (pow b 4))))) |
(* (pow a 2) (- (/ 1/2 (* a (pow b 2))) (+ (* -3/8 (/ c (pow b 4))) (/ 2/3 (* (pow a 2) c))))) |
(* (pow a 2) (- (/ 1/2 (* a (pow b 2))) (+ (* -3/8 (/ c (pow b 4))) (/ 2/3 (* (pow a 2) c))))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* (pow a 2) (- (* -3/8 (/ c (pow b 4))) (* 1/2 (/ 1 (* a (pow b 2)))))) |
(* (pow a 2) (- (+ (* -3/8 (/ c (pow b 4))) (/ 2/3 (* (pow a 2) c))) (/ 1/2 (* a (pow b 2))))) |
(* (pow a 2) (- (+ (* -3/8 (/ c (pow b 4))) (/ 2/3 (* (pow a 2) c))) (/ 1/2 (* a (pow b 2))))) |
(* 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)))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -3))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* (pow a 3) (- (* -135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4)))))) |
(* (pow a 3) (- (* -135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4)))))) |
(* (pow a 3) (- (* -135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4)))))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -9/16 (* (pow a 2) b)) |
(* -9/16 (* (pow a 2) b)) |
(* -9/16 (* (pow a 2) b)) |
(* -9/16 (* (pow a 2) b)) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -135/128 (* (pow a 3) c)) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow b 2) a)) (* 135/128 c)))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow b 2) a)) (* 135/128 c)))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow b 2) a)) (* 135/128 c)))) |
(* -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))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 4)))) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -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))))) |
(* -1/3 (* (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 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* c (pow (sqrt 3) 2))))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) |
(* 1/2 (/ a b)) |
(* -1 (* a (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -1 (* a (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -1 (* a (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* 1/2 (/ (* a c) b)) |
(* -1 (* a (+ (* -1/2 (/ c b)) (* 2/3 (/ b a))))) |
(* -1 (* a (+ (* -1/2 (/ c b)) (* 2/3 (/ b a))))) |
(* -1 (* a (+ (* -1/2 (/ c b)) (* 2/3 (/ b a))))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* -1 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -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)) (* -1 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 (/ (+ (* 1/6 (* (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 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 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)))))))) |
(* 3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* (pow a 2) (- (* 1/2 (/ 1 (* a (pow b 2)))) (* -3/8 (/ c (pow b 4))))) |
(* (pow a 2) (- (* -1 (/ (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))) a)) (* -3/8 (/ c (pow b 4))))) |
(* (pow a 2) (- (* -1 (/ (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))) a)) (* -3/8 (/ c (pow b 4))))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* (pow a 2) (- (* -3/8 (/ c (pow b 4))) (* 1/2 (/ 1 (* a (pow b 2)))))) |
(* (pow a 2) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))) a)) (* -3/8 (/ c (pow b 4))))) |
(* (pow a 2) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))) a)) (* -3/8 (/ c (pow b 4))))) |
(* -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 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* c (pow (sqrt 3) 2))))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4))))))) |
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4))))))) |
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4))))))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -3/8 (/ a (pow b 2))) |
(* -9/16 (* (pow a 2) b)) |
(* -9/16 (* (pow a 2) b)) |
(* -9/16 (* (pow a 2) b)) |
(* -9/16 (* (pow a 2) b)) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -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)))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
| Outputs |
|---|
(* -9/16 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 b b)) |
(+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) |
(fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 b b) (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) |
(+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) |
(fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 b b) (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) |
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64)) |
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(* (sqrt (/ c a)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) |
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(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)))) c) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
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(* 3/8 (/ (* (pow a 2) c) (pow b 4))) |
(/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))) |
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(* c (- (* -1 (/ (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))) c)) (* -3/8 (/ (pow a 2) (pow b 4))))) |
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(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
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(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 a c) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 c c)))) c) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64)) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
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(* (sqrt (/ a c)) (/ 1 (sqrt -3))) |
(/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -3))) (/ b (pow (sqrt -3) 2))) c) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 b #s(literal 3 binary64))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (pow (sqrt -3) 2)))) c) |
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(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (pow (sqrt -3) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c) |
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(* -135/128 (/ (* (pow a 3) c) (pow b 6))) |
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(* c (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
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(* c (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) c) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 6 binary64)))) c) |
(* c (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) c) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 6 binary64)))) c) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
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(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(* -3 (* a c)) |
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(*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c) |
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(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
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(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
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(/ 2/3 c) |
(/.f64 #s(literal 2/3 binary64) c) |
(/ 2/3 c) |
(/.f64 #s(literal 2/3 binary64) c) |
(/ 2/3 c) |
(/.f64 #s(literal 2/3 binary64) c) |
(/ 2/3 c) |
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(* -135/128 (* (pow a 3) c)) |
(*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64)) |
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(* -1 (* c (+ (* 9/16 (/ (* (pow a 2) (pow b 2)) c)) (* 135/128 (pow a 3))))) |
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(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (neg.f64 a) (fma.f64 c #s(literal 3 binary64) (/.f64 (*.f64 b b) (neg.f64 a)))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a a)) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a a)) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a a)) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* -3/8 (/ (* (pow a 2) c) (pow b 4))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a a)) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 703 |
| 0 | 159 | 693 |
| 1 | 646 | 678 |
| 2 | 5469 | 673 |
| 0 | 8220 | 655 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) |
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 b c) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))) |
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)) |
(/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c) |
(fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))) |
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) |
(*.f64 a (/.f64 c b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(/.f64 #s(literal 2/3 binary64) c) |
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Compiled 40 800 to 4 881 computations (88% saved)
59 alts after pruning (55 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 378 | 24 | 1 402 |
| Fresh | 12 | 31 | 43 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 393 | 59 | 1 452 |
| Status | Accuracy | Program |
|---|---|---|
| 20.7% | (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))) | |
| 20.1% | (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))) | |
| 20.2% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 #s(literal 3 binary64) (*.f64 a a))) | |
| 20.2% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) a) #s(literal 3 binary64)) | |
| 19.5% | (/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(literal 3 binary64)) | |
| 18.9% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64)) | |
| 18.6% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) | |
| 18.9% | (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b)) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) a)) #s(literal 3 binary64)) | |
| 19.5% | (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 20.1% | (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 18.8% | (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 b a) (*.f64 (pow.f64 a #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 a #s(literal -2 binary64)))))) | |
| 18.7% | (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))))) | |
| 18.9% | (/.f64 (-.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) (/.f64 b a)) #s(literal 3 binary64)) | |
| 18.4% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64)) | |
| 19.1% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 19.0% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 19.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| 20.2% | (/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) #s(literal 1/3 binary64)) (*.f64 a a)) | |
| 18.8% | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 b a) (*.f64 (pow.f64 a #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64))) #s(literal 3 binary64)) | |
| 19.5% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 19.1% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 89.4% | (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) | |
| 89.8% | (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) | |
| 89.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 19.1% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64))) | |
| 95.6% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c)) #s(literal 3 binary64))) | |
| 97.0% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -4 binary64))) (*.f64 c (*.f64 a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) c))) (neg.f64 b))) #s(literal 3 binary64))) | |
| 19.1% | (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a))) | |
| 19.5% | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 19.1% | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)) | |
| 89.4% | (/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a)) | |
| 97.9% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c) b) (fma.f64 (/.f64 #s(literal -2/9 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) c) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))) | |
| 97.3% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))) | |
| 95.7% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))) | |
| 95.7% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))) | |
| ✓ | 95.8% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))) |
| 95.6% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 #s(literal -2/3 binary64) (*.f64 b b))) b)) c))) | |
| 89.5% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c))) | |
| 89.5% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) | |
| 97.9% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) c) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 c c)) (/.f64 #s(literal 405/64 binary64) a)) #s(literal -2/9 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 c c)))) (neg.f64 (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a b) (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 2/3 binary64) c))))) b))) | |
| 97.2% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) c)))) b))) | |
| 97.0% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal 3/2 binary64)))))) b))) | |
| 96.7% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 b b) (*.f64 #s(literal 3/8 binary64) (*.f64 c (*.f64 a a)))) (pow.f64 b #s(literal 4 binary64)))) b))) | |
| 89.5% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 #s(literal -2/3 binary64) c)) b))) | |
| 95.6% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b)))) | |
| 18.7% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| 18.8% | (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) | |
| 19.1% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 19.1% | (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) | |
| 96.0% | #s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 c #s(literal -1/2 binary64))) b)) | |
| 97.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b)) | |
| 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b)) | |
| 96.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) | |
| 95.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) #s(approx (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (*.f64 (fma.f64 (/.f64 a b) (/.f64 #s(literal -3/8 binary64) b) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c)))) b)) | |
| 98.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 #s(approx (+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (*.f64 (fma.f64 (*.f64 c a) #s(literal -135/128 binary64) (*.f64 (*.f64 b b) #s(literal -9/16 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) | |
| ✓ | 89.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| ✓ | 89.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ✓ | 89.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| 97.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))))) |
Compiled 4 117 to 1 641 computations (60.1% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 #s(literal -2/3 binary64) c)) b))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
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(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(approx (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (neg.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 b a) (*.f64 (pow.f64 a #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 a #s(literal -2 binary64)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))))) #s(literal 3 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 b a) (*.f64 (pow.f64 a #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64))) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c) b) (fma.f64 (/.f64 #s(literal -2/9 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) c) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) c) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 c c)) (/.f64 #s(literal 405/64 binary64) a)) #s(literal -2/9 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 c c)))) (neg.f64 (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a b) (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 2/3 binary64) c))))) b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b)) |
5 calls:
| 29.0ms | (*.f64 #s(literal 3 binary64) a) |
| 29.0ms | b |
| 29.0ms | c |
| 29.0ms | a |
| 26.0ms | (/.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 |
|---|---|---|
| 98.3% | 1 | a |
| 98.3% | 1 | b |
| 98.3% | 1 | c |
| 98.3% | 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)) |
| 98.3% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 #s(literal -2/3 binary64) c)) b))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b)))) |
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(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (neg.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 b a) (*.f64 (pow.f64 a #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 a #s(literal -2 binary64)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))))) #s(literal 3 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
5 calls:
| 28.0ms | (*.f64 #s(literal 3 binary64) a) |
| 28.0ms | a |
| 27.0ms | c |
| 27.0ms | b |
| 25.0ms | (/.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 |
|---|---|---|
| 98.3% | 1 | a |
| 98.3% | 1 | b |
| 98.3% | 1 | c |
| 98.3% | 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)) |
| 98.3% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 #s(literal -2/3 binary64) c)) b))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b)))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) 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)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 c #s(literal -1/2 binary64))) b)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 #s(literal -2/3 binary64) (*.f64 b b))) b)) c))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) a)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) #s(approx (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (*.f64 (fma.f64 (/.f64 a b) (/.f64 #s(literal -3/8 binary64) b) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c)))) b)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) a)) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) #s(literal 1/3 binary64)) (*.f64 a a)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 #s(literal 3 binary64) (*.f64 a a))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64)) |
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) (/.f64 b a)) #s(literal 3 binary64)) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) c)))) b))) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b)) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) |
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -4 binary64))) (*.f64 c (*.f64 a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) c))) (neg.f64 b))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 b b) (*.f64 #s(literal 3/8 binary64) (*.f64 c (*.f64 a a)))) (pow.f64 b #s(literal 4 binary64)))) b))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)) a)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal 3/2 binary64)))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal -1 binary64)))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 #s(approx (+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (*.f64 (fma.f64 (*.f64 c a) #s(literal -135/128 binary64) (*.f64 (*.f64 b b) #s(literal -9/16 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(approx (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (neg.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 b a) (*.f64 (pow.f64 a #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 a #s(literal -2 binary64)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))))) #s(literal 3 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 #s(approx (+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (*.f64 (fma.f64 (*.f64 c a) #s(literal -135/128 binary64) (*.f64 (*.f64 b b) #s(literal -9/16 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
5 calls:
| 27.0ms | (*.f64 #s(literal 3 binary64) a) |
| 27.0ms | c |
| 27.0ms | b |
| 27.0ms | a |
| 25.0ms | (/.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 |
|---|---|---|
| 98.2% | 1 | a |
| 98.2% | 1 | b |
| 98.2% | 1 | c |
| 98.2% | 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)) |
| 98.2% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 #s(literal -2/3 binary64) c)) b))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b)))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) 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)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 c #s(literal -1/2 binary64))) b)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 #s(literal -2/3 binary64) (*.f64 b b))) b)) c))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) a)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) #s(approx (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (*.f64 (fma.f64 (/.f64 a b) (/.f64 #s(literal -3/8 binary64) b) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c)))) b)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) a)) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) #s(literal 1/3 binary64)) (*.f64 a a)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 #s(literal 3 binary64) (*.f64 a a))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64)) |
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) (/.f64 b a)) #s(literal 3 binary64)) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) c)))) b))) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b)) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) |
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -4 binary64))) (*.f64 c (*.f64 a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) c))) (neg.f64 b))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 b b) (*.f64 #s(literal 3/8 binary64) (*.f64 c (*.f64 a a)))) (pow.f64 b #s(literal 4 binary64)))) b))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)) a)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal 3/2 binary64)))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal -1 binary64)))))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b)) |
5 calls:
| 22.0ms | (*.f64 #s(literal 3 binary64) a) |
| 22.0ms | a |
| 22.0ms | c |
| 22.0ms | b |
| 20.0ms | (/.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 |
|---|---|---|
| 97.6% | 1 | a |
| 97.6% | 1 | b |
| 97.6% | 1 | c |
| 97.6% | 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)) |
| 97.6% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 #s(literal -2/3 binary64) c)) b))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b)))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) 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)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 c #s(literal -1/2 binary64))) b)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 #s(literal -2/3 binary64) (*.f64 b b))) b)) c))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) a)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) #s(approx (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (*.f64 (fma.f64 (/.f64 a b) (/.f64 #s(literal -3/8 binary64) b) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c)))) b)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) a)) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) #s(literal 1/3 binary64)) (*.f64 a a)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 #s(literal 3 binary64) (*.f64 a a))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64)) |
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) (/.f64 b a)) #s(literal 3 binary64)) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) c)))) b))) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b)) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) |
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -4 binary64))) (*.f64 c (*.f64 a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) c))) (neg.f64 b))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 b b) (*.f64 #s(literal 3/8 binary64) (*.f64 c (*.f64 a a)))) (pow.f64 b #s(literal 4 binary64)))) b))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)) a)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal 3/2 binary64)))))) b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b)) |
5 calls:
| 21.0ms | b |
| 21.0ms | (*.f64 #s(literal 3 binary64) a) |
| 21.0ms | a |
| 21.0ms | c |
| 19.0ms | (/.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 |
|---|---|---|
| 97.5% | 1 | a |
| 97.5% | 1 | c |
| 97.5% | 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)) |
| 97.5% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 97.5% | 1 | b |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 #s(literal -2/3 binary64) c)) b))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b)))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) 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)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 c #s(literal -1/2 binary64))) b)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 #s(literal -2/3 binary64) (*.f64 b b))) b)) c))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) a)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) #s(approx (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (*.f64 (fma.f64 (/.f64 a b) (/.f64 #s(literal -3/8 binary64) b) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c)))) b)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) a)) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) #s(literal 1/3 binary64)) (*.f64 a a)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 #s(literal 3 binary64) (*.f64 a a))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64)) |
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) (/.f64 b a)) #s(literal 3 binary64)) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
5 calls:
| 16.0ms | (*.f64 #s(literal 3 binary64) a) |
| 16.0ms | b |
| 16.0ms | c |
| 15.0ms | a |
| 14.0ms | (/.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 |
|---|---|---|
| 96.0% | 1 | a |
| 96.0% | 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)) |
| 96.0% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 96.0% | 1 | b |
| 96.0% | 1 | c |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 #s(literal -2/3 binary64) c)) b))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b)))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) 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)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
5 calls:
| 8.0ms | (*.f64 #s(literal 3 binary64) a) |
| 8.0ms | b |
| 8.0ms | c |
| 8.0ms | a |
| 8.0ms | (/.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 |
|---|---|---|
| 96.0% | 1 | b |
| 96.0% | 1 | a |
| 96.0% | 1 | c |
| 96.0% | 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)) |
| 96.0% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 #s(literal -2/3 binary64) c)) b))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
5 calls:
| 4.0ms | (*.f64 #s(literal 3 binary64) a) |
| 4.0ms | c |
| 4.0ms | a |
| 4.0ms | b |
| 4.0ms | (/.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 |
|---|---|---|
| 89.9% | 1 | b |
| 89.9% | 1 | c |
| 89.9% | 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)) |
| 89.9% | 1 | a |
| 89.9% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 23 to 26 computations (-13% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
5 calls:
| 2.0ms | (*.f64 #s(literal 3 binary64) a) |
| 2.0ms | c |
| 2.0ms | b |
| 2.0ms | a |
| 2.0ms | (/.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 |
|---|---|---|
| 89.6% | 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)) |
| 89.6% | 1 | a |
| 89.6% | 1 | b |
| 89.6% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 89.6% | 1 | c |
Compiled 23 to 26 computations (-13% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 153 | 584 |
| 1 | 173 | 584 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 #s(approx (+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (*.f64 (fma.f64 (*.f64 c a) #s(literal -135/128 binary64) (*.f64 (*.f64 b b) #s(literal -9/16 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 #s(literal 405/64 binary64) b) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 #s(approx (+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (*.f64 (fma.f64 (*.f64 c a) #s(literal -135/128 binary64) (*.f64 (*.f64 b b) #s(literal -9/16 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 817 | 15787 |
| 1 | 2538 | 15620 |
| 0 | 8589 | 14950 |
| 0 | 1453 | 17219 |
| 1 | 4832 | 16936 |
| 0 | 8694 | 16225 |
| 0 | 1372 | 17690 |
| 1 | 4520 | 17403 |
| 0 | 9222 | 16619 |
| 0 | 470 | 2458 |
| 1 | 1445 | 2441 |
| 2 | 4890 | 2418 |
| 0 | 8056 | 2302 |
| 0 | 64 | 452 |
| 0 | 108 | 440 |
| 1 | 413 | 432 |
| 2 | 3407 | 432 |
| 0 | 8413 | 432 |
| 1× | fuel |
| 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× | node limit |
Compiled 265 to 163 computations (38.5% saved)
Compiled 500 to 216 computations (56.8% saved)
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