
Time bar (total: 12.8s)
| 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 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 2.3% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 11.3% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 21.1% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 28% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 40.1% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 41 to 26 computations (36.6% saved)
| 825.0ms | 5 494× | 0 | valid |
| 664.0ms | 2 762× | 1 | valid |
| 200.0ms | 1 301× | 0 | invalid |
const: 297.0ms (21.9% of total)ival-mult: 254.0ms (18.7% of total)ival-sqrt: 226.0ms (16.7% of total)ival-<: 140.0ms (10.3% of total)ival-div: 103.0ms (7.6% of total)ival-add: 103.0ms (7.6% of total)ival-sub: 70.0ms (5.2% of total)adjust: 68.0ms (5% of total)ival-neg: 48.0ms (3.5% of total)ival-and: 35.0ms (2.6% of total)exact: 6.0ms (0.4% of total)ival-assert: 5.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 227 | 3 | (2.5331182238941996 202.56724976684563 28.05641730988123) | 1 | (0.007571663473090065 4565.017542391468 44915596.73401216) | (+.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 | 229 | 6 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 225 | 3 |
| - | 4 | 24 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 225 | 3 | 0 |
| - | 4 | 3 | 21 |
| number | freq |
|---|---|
| 0 | 27 |
| 1 | 229 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 30.0ms | 326× | 0 | valid |
| 28.0ms | 186× | 1 | valid |
Compiled 156 to 40 computations (74.4% saved)
ival-mult: 10.0ms (26.7% of total)ival-neg: 6.0ms (16% of total)ival-div: 5.0ms (13.4% of total)ival-sqrt: 5.0ms (13.4% of total)ival-sub: 4.0ms (10.7% of total)adjust: 3.0ms (8% of total)ival-add: 3.0ms (8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 562× | div-sub |
| 1 088× | lower-fma.f64 |
| 1 088× | lower-fma.f32 |
| 996× | sub-neg |
| 712× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 158 |
| 1 | 152 | 144 |
| 2 | 433 | 144 |
| 3 | 1173 | 144 |
| 4 | 3171 | 144 |
| 5 | 6061 | 144 |
| 0 | 12 | 17 |
| 0 | 20 | 17 |
| 1 | 36 | 16 |
| 2 | 73 | 16 |
| 3 | 156 | 16 |
| 4 | 236 | 16 |
| 5 | 374 | 16 |
| 6 | 650 | 16 |
| 7 | 1103 | 16 |
| 8 | 2241 | 16 |
| 9 | 2510 | 16 |
| 10 | 2621 | 16 |
| 11 | 2676 | 16 |
| 12 | 2677 | 16 |
| 13 | 2677 | 16 |
| 0 | 2677 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
Compiled 20 to 12 computations (40% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 20 to 12 computations (40% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 1 088× | lower-fma.f64 |
| 1 088× | lower-fma.f32 |
| 712× | lower-*.f32 |
| 706× | lower-*.f64 |
| 430× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 66 |
| 0 | 20 | 66 |
| 1 | 36 | 64 |
| 2 | 73 | 64 |
| 3 | 156 | 64 |
| 4 | 236 | 64 |
| 5 | 374 | 64 |
| 6 | 650 | 64 |
| 7 | 1103 | 64 |
| 8 | 2241 | 64 |
| 9 | 2510 | 64 |
| 10 | 2621 | 64 |
| 11 | 2676 | 64 |
| 12 | 2677 | 64 |
| 13 | 2677 | 64 |
| 0 | 2677 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #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 | 0.232753759768442 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| accuracy | 0.24609375 | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | |
| accuracy | 0.32326127930532605 | (/.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 | 29.534803847882717 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 19.0ms | 93× | 1 | valid |
| 13.0ms | 163× | 0 | valid |
Compiled 68 to 14 computations (79.4% saved)
ival-mult: 5.0ms (26.1% of total)ival-sqrt: 5.0ms (26.1% of total)adjust: 2.0ms (10.4% of total)ival-div: 2.0ms (10.4% of total)ival-add: 2.0ms (10.4% of total)ival-sub: 2.0ms (10.4% of total)ival-neg: 1.0ms (5.2% 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>) () ())) ()) |
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#s(alt (* -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 (+ (* -1/3 (* (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 | |
|---|---|---|---|---|
| 14.0ms | 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)) |
| 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)) |
| 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 |
| 11 360× | lower-fma.f64 |
| 11 360× | lower-fma.f32 |
| 6 828× | lower-*.f64 |
| 6 828× | lower-*.f32 |
| 3 678× | lower-+.f64 |
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 (*.f64 a a) (*.f64 (*.f64 b b) b)) (*.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 (*.f64 a a) a) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) 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 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) 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 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.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 (*.f64 (*.f64 b b) b)) #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 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #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))) |
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(pow b 2) |
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(*.f64 (neg.f64 b) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/8 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/8 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 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 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) 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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) 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 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) 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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) 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 (*.f64 (*.f64 a a) a) 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 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (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 (*.f64 (*.f64 a a) a) 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 (*.f64 (*.f64 a a) a) 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 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) 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 (*.f64 (*.f64 c c) a) c))) (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 (*.f64 (*.f64 c c) a) c))) (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)) |
| 4 876× | lower-fma.f64 |
| 4 876× | lower-fma.f32 |
| 3 870× | lower-*.f32 |
| 3 864× | lower-*.f64 |
| 2 328× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 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 |
|---|
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 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 (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) |
(*.f64 (/.f64 (fma.f64 (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 (*.f64 b b) b)) (-.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (neg.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 (fma.f64 (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 (*.f64 b b) b)) (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b)) b (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) (fma.f64 (*.f64 (*.f64 b b) b) b (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 b b))))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (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)))))))) (fma.f64 (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 (*.f64 b b) b))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(*.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.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 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 #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 (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) (/.f64 #s(literal 1 binary64) (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)))))))))) |
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(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (*.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal 9 binary64)) c) a (*.f64 (*.f64 (*.f64 b b) b) b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal 9 binary64)) c) a (*.f64 (*.f64 (*.f64 b b) b) b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.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))))))) #s(literal 3 binary64)) a) (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
(/.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 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal 9 binary64)) c) a (*.f64 (*.f64 (*.f64 b b) b) b)) (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))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.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))))))) #s(literal 3 binary64)) a) (fma.f64 (*.f64 (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))) (fma.f64 (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 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b)))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)) (neg.f64 a)) |
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (neg.f64 (*.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))))))) #s(literal 3 binary64)) a))) |
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 (*.f64 #s(literal -3 binary64) a) (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 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.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 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (neg.f64 (neg.f64 a))) |
(/.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 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.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 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -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) a) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)))) |
(/.f64 #s(literal 1 binary64) (/.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 #s(literal 1/3 binary64) a) (fma.f64 (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 (*.f64 b b) b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (fma.f64 (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 (*.f64 b b) b)) (*.f64 (*.f64 #s(literal -3 binary64) a) (neg.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 (fma.f64 (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 (*.f64 b b) b)) (*.f64 (neg.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 #s(literal -3 binary64) a))) |
(/.f64 (fma.f64 (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 (*.f64 b b) b)) (*.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))))))) #s(literal 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))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) b (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (/.f64 #s(literal 1/3 binary64) a))) |
(fma.f64 b (/.f64 #s(literal 1/3 binary64) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 a #s(literal 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)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 3 binary64))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 b (/.f64 #s(literal 1/3 binary64) a))) |
(+.f64 (*.f64 b (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 #s(literal 1 binary64) b) |
(*.f64 (*.f64 (*.f64 b b) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b #s(literal -1 binary64)) |
(*.f64 b #s(literal 1 binary64)) |
(pow.f64 b #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) |
(/.f64 (*.f64 (*.f64 b b) b) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) |
(/.f64 (*.f64 b b) b) |
(neg.f64 b) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 b b) b) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64)) |
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) b) b) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b) |
(-.f64 #s(literal 0 binary64) b) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) b) |
(+.f64 b #s(literal 0 binary64)) |
b |
(*.f64 (*.f64 c #s(literal 3 binary64)) a) |
(*.f64 (*.f64 c a) #s(literal 3 binary64)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(*.f64 (*.f64 a #s(literal 3 binary64)) c) |
(*.f64 a (*.f64 c #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
Compiled 20 413 to 1 847 computations (91% saved)
44 alts after pruning (43 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 511 | 43 | 554 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 511 | 44 | 555 |
| Status | Accuracy | Program |
|---|---|---|
| 52.8% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.5% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) 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)) | |
| 52.8% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.4% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 53.7% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| 53.7% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) | |
| 53.7% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) | |
| 53.7% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 53.8% | (/.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)) | |
| 53.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))))) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 53.7% | (/.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)) |
| 53.5% | (/.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)) | |
| 53.7% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) | |
| 53.2% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.7% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) | |
| 81.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.3% | (/.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 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 87.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 87.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 81.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 81.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
| 65.8% | (/.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)) | |
| 53.7% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| ▶ | 53.7% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
| 53.7% | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) | |
| 52.9% | (-.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)))) | |
| 53.7% | (*.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) (*.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))))))) #s(literal 3 binary64)) a))) | |
| ▶ | 53.7% | (*.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 a #s(literal 3 binary64))) (/.f64 (-.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 (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
| 53.7% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 53.7% | (*.f64 (/.f64 (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 53.7% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 53.7% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 53.2% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) | |
| ▶ | 90.7% | #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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 87.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 82.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 82.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 90.7% | #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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) b)) | |
| 87.7% | #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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) b)) | |
| 90.6% | #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) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 87.6% | #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 (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 82.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ▶ | 65.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
Compiled 2 986 to 1 556 computations (47.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (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))))))) | |
| cost-diff | 0 | (/.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 a #s(literal 3 binary64))) | |
| cost-diff | 192 | (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) | |
| cost-diff | 7168 | (*.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 a #s(literal 3 binary64))) (/.f64 (-.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 (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 640 | (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) | |
| 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 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| cost-diff | 384 | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 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)) (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| cost-diff | 320 | (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) | |
| cost-diff | 320 | (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) | |
| cost-diff | 704 | (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
| 9 098× | lower-fma.f32 |
| 9 084× | lower-fma.f64 |
| 5 180× | lower-*.f32 |
| 5 146× | lower-*.f64 |
| 2 608× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 750 |
| 0 | 114 | 702 |
| 1 | 214 | 672 |
| 2 | 510 | 656 |
| 3 | 1516 | 642 |
| 4 | 4278 | 642 |
| 5 | 7483 | 642 |
| 0 | 8605 | 634 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) |
(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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) |
(*.f64 #s(literal -1/6 binary64) a) |
#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 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
(/.f64 #s(literal 405/64 binary64) b) |
#s(literal 405/64 binary64) |
(*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64)) |
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 c c) |
(/.f64 c (pow.f64 b #s(literal 5 binary64))) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
#s(literal -9/16 binary64) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
#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 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
#s(literal 1/3 binary64) |
(/.f64 a (-.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 |
(*.f64 b b) |
b |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.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)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) |
(*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) |
(*.f64 a #s(literal -9/8 binary64)) |
a |
#s(literal -9/8 binary64) |
(/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) |
(*.f64 c c) |
c |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
b |
(*.f64 (/.f64 c b) #s(literal -3/2 binary64)) |
(/.f64 c b) |
#s(literal -3/2 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(*.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 a #s(literal 3 binary64))) (/.f64 (-.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 (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(/.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 a #s(literal 3 binary64))) |
(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 #s(literal -3 binary64) c) |
#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)))))) |
b |
(*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 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 b b) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (-.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 (fma.f64 b b (*.f64 b (-.f64 b (sqrt.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) |
| 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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) a) (pow.f64 b #s(literal 7 binary64))) (pow.f64 c #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c c) c))) (*.f64 (/.f64 c b) (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64))))) |
(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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) a) (pow.f64 b #s(literal 7 binary64))) (pow.f64 c #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c c) c))) (*.f64 (/.f64 c b) (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64)))) |
(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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) |
(fma.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 7 binary64))) (*.f64 (*.f64 c c) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) a) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))))) |
(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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) a) (pow.f64 b #s(literal 7 binary64))) (pow.f64 c #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c c) c))) |
(*.f64 #s(literal -1/6 binary64) a) |
#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 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
(/.f64 #s(literal 405/64 binary64) b) |
#s(literal 405/64 binary64) |
(*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64)) |
(*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c c) c)) |
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) c) c) |
(*.f64 c c) |
(/.f64 c (pow.f64 b #s(literal 5 binary64))) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
#s(literal -9/16 binary64) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b)) c) c) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
#s(literal -3/8 binary64) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
#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))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
c |
b |
#s(literal -1/2 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 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
#s(literal 1/3 binary64) |
(/.f64 a (-.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 |
(*.f64 b b) |
b |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) a) (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal -9/8 binary64)) a #s(literal -3/2 binary64)))) (*.f64 a #s(literal 3 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) a) (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal -9/8 binary64)) a #s(literal -3/2 binary64)))) |
(*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(*.f64 (*.f64 (/.f64 c b) a) (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal -9/8 binary64)) a #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal -9/8 binary64)) a #s(literal -3/2 binary64)) (/.f64 c b)) |
(*.f64 a #s(literal -9/8 binary64)) |
(*.f64 #s(literal -9/8 binary64) a) |
a |
#s(literal -9/8 binary64) |
(/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) |
(*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) c) |
(*.f64 c c) |
c |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
b |
(*.f64 (/.f64 c b) #s(literal -3/2 binary64)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
#s(literal -3/2 binary64) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.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 a #s(literal 3 binary64))) (/.f64 (-.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 (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(*.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 (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 a #s(literal 3 binary64))) |
(/.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b)) (*.f64 a #s(literal 3 binary64))) |
(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))))))) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b)) |
(*.f64 #s(literal -3 binary64) c) |
#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 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) |
b |
(*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 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 b b) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (-.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 (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) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3248825195368841 | (/.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 a #s(literal 3 binary64))) | |
| accuracy | 0.34212875976844204 | (*.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 a #s(literal 3 binary64))) (/.f64 (-.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 (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) | |
| accuracy | 29.534803847882717 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 29.534803847882717 | (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) | |
| accuracy | 0.3046875 | (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) | |
| accuracy | 0.32326127930532605 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 0.3873825195368841 | (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) | |
| accuracy | 11.38579294300243 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) | |
| accuracy | 0.240566259768442 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.26953125 | (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 0.42806625976844204 | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| accuracy | 29.534803847882717 | (-.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 | 21.810439601954958 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| accuracy | 0.36947250976844204 | (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) | |
| accuracy | 0.37109375 | (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) | |
| accuracy | 0.375 | (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) | |
| accuracy | 5.800265775971024 | #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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 93.0ms | 93× | 1 | valid |
| 78.0ms | 163× | 0 | valid |
Compiled 694 to 69 computations (90.1% saved)
ival-mult: 44.0ms (34% of total)ival-pow: 22.0ms (17% of total)ival-div: 21.0ms (16.2% of total)ival-add: 13.0ms (10% of total)adjust: 9.0ms (6.9% of total)const: 7.0ms (5.4% of total)ival-sub: 6.0ms (4.6% of total)ival-sqrt: 5.0ms (3.9% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ()) |
#s(alt (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ()) |
#s(alt (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) (patch (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) #<representation binary64>) () ()) |
#s(alt #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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<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 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #<representation binary64>) () ()) |
#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #<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 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) (patch (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) (patch (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) #<representation binary64>) () ()) |
#s(alt (*.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 a #s(literal 3 binary64))) (/.f64 (-.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 (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) (patch (*.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 a #s(literal 3 binary64))) (/.f64 (-.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 (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (patch (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ()) |
#s(alt (/.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 a #s(literal 3 binary64))) (patch (/.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 a #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (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))))))) (patch (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))))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) (patch (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 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 c c) (*.f64 (*.f64 b b) b)) (patch (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) #<representation binary64>) () ()) |
#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (pow c 2) (pow b 3))) (taylor 0 c) (#s(alt (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) (taylor 0 c) (#s(alt (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) (taylor 0 c) (#s(alt (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) (taylor 0 c) (#s(alt (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (/ (pow c 3) (pow b 5))) (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 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) (patch (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (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 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) (patch (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) #<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>) () ())) ()) |
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#s(alt (* (pow c 2) (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) (patch (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (taylor inf c) (#s(alt (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) (patch (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) #<representation binary64>) () ())) ()) |
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#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#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 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #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 (* -9/8 (/ (* a (pow c 2)) (pow b 3))) (taylor inf a) (#s(alt (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) (patch (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) (patch (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) (patch (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) (taylor inf a) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (taylor inf a) (#s(alt (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) (patch (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) (patch (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) (patch (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (taylor -inf a) (#s(alt (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))))))) (patch (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))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -2 (/ (pow b 2) a)) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))) (taylor -inf a) (#s(alt (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))))))) (patch (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))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 2 (pow b 2))) a)) (* 3 c))))) (taylor -inf a) (#s(alt (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))))))) (patch (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))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 2 (pow b 2))) a)) (* 3 c))))) (taylor -inf a) (#s(alt (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))))))) (patch (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))))))) #<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 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) (taylor -inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | b | @ | 0 | ((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) (/ (+ (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) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* a -9/8) (/ (* c c) (* (* b b) b))) (* (/ c b) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* a -9/8) (/ (* c c) (* (* b b) b))) (* (/ c b) -3/2)) a) (* (/ (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* a 3)) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))))) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* a 3)) (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (/ (* (* c c) -3/8) (* (* b b) b)) (/ (pow c 4) (pow b 6)) (+ (* (* -3 c) a) (* b b)) (/ (* c c) (* (* b b) b)) (- b (sqrt (+ (* (* -3 c) a) (* b b))))) |
| 13.0ms | c | @ | inf | ((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) (/ (+ (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) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* a -9/8) (/ (* c c) (* (* b b) b))) (* (/ c b) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* a -9/8) (/ (* c c) (* (* b b) b))) (* (/ c b) -3/2)) a) (* (/ (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* a 3)) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))))) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* a 3)) (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (/ (* (* c c) -3/8) (* (* b b) b)) (/ (pow c 4) (pow b 6)) (+ (* (* -3 c) a) (* b b)) (/ (* c c) (* (* b b) b)) (- b (sqrt (+ (* (* -3 c) a) (* b b))))) |
| 11.0ms | c | @ | 0 | ((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) (/ (+ (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) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* a -9/8) (/ (* c c) (* (* b b) b))) (* (/ c b) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* a -9/8) (/ (* c c) (* (* b b) b))) (* (/ c b) -3/2)) a) (* (/ (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* a 3)) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))))) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* a 3)) (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (/ (* (* c c) -3/8) (* (* b b) b)) (/ (pow c 4) (pow b 6)) (+ (* (* -3 c) a) (* b b)) (/ (* c c) (* (* b b) b)) (- b (sqrt (+ (* (* -3 c) a) (* b b))))) |
| 9.0ms | c | @ | -inf | ((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) (/ (+ (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) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* a -9/8) (/ (* c c) (* (* b b) b))) (* (/ c b) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* a -9/8) (/ (* c c) (* (* b b) b))) (* (/ c b) -3/2)) a) (* (/ (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* a 3)) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))))) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* a 3)) (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (/ (* (* c c) -3/8) (* (* b b) b)) (/ (pow c 4) (pow b 6)) (+ (* (* -3 c) a) (* b b)) (/ (* c c) (* (* b b) b)) (- b (sqrt (+ (* (* -3 c) a) (* b b))))) |
| 9.0ms | b | @ | -inf | ((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) (/ (+ (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) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* a -9/8) (/ (* c c) (* (* b b) b))) (* (/ c b) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* a -9/8) (/ (* c c) (* (* b b) b))) (* (/ c b) -3/2)) a) (* (/ (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* a 3)) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))))) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* a 3)) (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (/ (* (* c c) -3/8) (* (* b b) b)) (/ (pow c 4) (pow b 6)) (+ (* (* -3 c) a) (* b b)) (/ (* c c) (* (* b b) b)) (- b (sqrt (+ (* (* -3 c) a) (* b b))))) |
| 1× | egg-herbie |
| 6 906× | lower-*.f64 |
| 6 906× | lower-*.f32 |
| 6 734× | lower-fma.f64 |
| 6 734× | lower-fma.f32 |
| 4 462× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1530 | 17633 |
| 1 | 5115 | 17359 |
| 0 | 8306 | 16646 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* -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)))) |
(* -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) |
(* -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)))))))) |
(* -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)))) |
(* -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 (/ (* 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)))))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(pow b 2) |
(+ (* 3/2 (* a c)) (pow b 2)) |
(+ (* c (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a))) (pow b 2)) |
(+ (* c (+ (* 3/2 a) (* c (+ (* 9/8 (/ (pow a 2) (pow b 2))) (* 27/16 (/ (* (pow a 3) c) (pow b 4))))))) (pow b 2)) |
(* 1/3 (/ (pow b 2) a)) |
(+ (* -1/2 c) (* 1/3 (/ (pow b 2) a))) |
(+ (* 1/3 (/ (pow b 2) a)) (* c (- (* 3/8 (/ (* a c) (pow b 2))) 1/2))) |
(+ (* 1/3 (/ (pow b 2) a)) (* c (- (* c (+ (* 3/8 (/ a (pow b 2))) (* 9/16 (/ (* (pow a 2) c) (pow b 4))))) 1/2))) |
(pow b 2) |
(+ (* c (+ (* -3 a) (* 3/2 a))) (pow b 2)) |
(+ (* c (+ (* -3 a) (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)))) (pow b 2)) |
(+ (* c (+ (* -3 a) (+ (* 3/2 a) (* c (+ (* 9/8 (/ (pow a 2) (pow b 2))) (* 27/16 (/ (* (pow a 3) c) (pow b 4)))))))) (pow b 2)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(/ (pow c 2) (pow b 3)) |
(/ (pow c 2) (pow b 3)) |
(/ (pow c 2) (pow b 3)) |
(/ (pow c 2) (pow b 3)) |
(* 3/2 (/ (* a c) b)) |
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) 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 (/ 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) |
(* (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)))))) |
(* -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))))) |
(* 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)) (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))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 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 (* (sqrt (* a c)) (* b (sqrt -3)))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (* 2 (/ (pow b 2) c)))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (* 2 (/ (pow b 2) c))))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (* 2 (/ (pow b 2) c)))))) |
(* 1/3 (/ (* c (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))) a)) |
(* c (+ (* 1/3 (/ (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) a)) (* 2/3 (/ (pow b 2) (* a c))))) |
(* c (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/3 (/ (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) a)) (* 2/3 (/ (pow b 2) (* a c)))))) |
(* c (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 1/3 (/ (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) a)) (* 2/3 (/ (pow b 2) (* a c))))))) |
(* c (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))) |
(* c (+ (* -3 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (* 2 (/ (pow b 2) c))))) |
(* c (+ (* -3 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (* 2 (/ (pow b 2) c)))))) |
(* c (+ (* -3 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (* 2 (/ (pow b 2) c))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(* -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 c 2) (pow b 3)) |
(/ (pow c 2) (pow b 3)) |
(/ (pow c 2) (pow b 3)) |
(/ (pow c 2) (pow b 3)) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) 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 (/ 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 (* (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)))))))) |
(* -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))))) |
(* -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 (* 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)))))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (sqrt (* a c)) (* b (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 2 (pow b 2))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 2 (pow b 2))) c))))) |
(* -1/3 (/ (* c (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a))) a)) |
(* -1 (* c (+ (* -2/3 (/ (pow b 2) (* a c))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) a))))) |
(* -1 (* c (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 2/3 (/ (pow b 2) a))) c)) (* 1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) a))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 2/3 (/ (pow b 2) a))) c)) (* 1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) a))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))) |
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 2 (pow b 2))) c)) (* 3 a))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 2 (pow b 2))) c)) (* 3 a))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(* -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 c 2) (pow b 3)) |
(/ (pow c 2) (pow b 3)) |
(/ (pow c 2) (pow b 3)) |
(/ (pow c 2) (pow b 3)) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(* 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 (/ 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)))) |
(* (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))))))))) |
(* -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)) |
(* 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)) (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))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -3)))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -3))) (* 2 b))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 2 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))))))) |
(* -1 c) |
(+ (* -1 c) (* -1/3 (* (sqrt (/ c a)) (* b (sqrt -3))))) |
(+ (* -1 c) (* b (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 2/3 (/ b a))))) |
(+ (* -1 c) (* b (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 2/3 (/ 1 a))))))) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (* -1 (* (sqrt (* a c)) (* b (sqrt -3))))) |
(+ (* -3 (* a c)) (* b (+ (* -1 (* (sqrt (* a c)) (sqrt -3))) (* 2 b)))) |
(+ (* -3 (* a c)) (* b (+ (* -1 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 2 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3))))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (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 c 2) (pow b 3)) |
(/ (pow c 2) (pow b 3)) |
(/ (pow c 2) (pow b 3)) |
(/ (pow c 2) (pow b 3)) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(- b (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(* -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) |
(* -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))))))) |
(* -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))))))) |
(* -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) |
(* -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 (/ (* 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) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 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) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 3/2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -3/2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* 1/3 (/ (pow b 2) a)) |
(* (pow b 2) (+ (* 1/3 (/ (- (* -3 c) (* -3/2 c)) (pow b 2))) (* 1/3 (/ 1 a)))) |
(* (pow b 2) (+ (* 1/3 (/ (- (* -3 c) (* -3/2 c)) (pow b 2))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ 1 a))))) |
(* (pow b 2) (+ (* 1/3 (/ (- (* -3 c) (* -3/2 c)) (pow b 2))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 1/3 (/ 1 a)))))) |
(pow b 2) |
(* (pow b 2) (- (+ 1 (* -3 (/ (* a c) (pow b 2)))) (* -3/2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (+ (* -3 (/ (* a c) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) (* -3/2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (+ (* -3 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (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 c 2) (pow b 3)) |
(/ (pow c 2) (pow b 3)) |
(/ (pow c 2) (pow b 3)) |
(/ (pow c 2) (pow b 3)) |
(* 3/2 (/ (* a c) b)) |
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b) |
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -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))))))) |
(* -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 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)))))))) |
(* -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)) |
(* -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) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -3/2 (/ (* a c) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a 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))))))) |
(* 3 (pow b 2)) |
(* (pow b 2) (+ 3 (* -3/2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 2) (+ 3 (+ (* -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) a) |
(* (pow b 2) (+ (* 1/3 (/ (+ (* -3 c) (* -3/2 c)) (pow b 2))) (/ 1 a))) |
(* (pow b 2) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/3 (/ (+ (* -3 c) (* -3/2 c)) (pow b 2))) (/ 1 a)))) |
(* (pow b 2) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/3 (/ (+ (* -3 c) (* -3/2 c)) (pow b 2))) (/ 1 a))))) |
(* 3 (pow b 2)) |
(* (pow b 2) (+ 3 (+ (* -3 (/ (* a c) (pow b 2))) (* -3/2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 3 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 3 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (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 c 2) (pow b 3)) |
(/ (pow c 2) (pow b 3)) |
(/ (pow c 2) (pow b 3)) |
(/ (pow c 2) (pow b 3)) |
(* 2 b) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -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)))))) |
(+ (* -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)))))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(* -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))))))) |
(* -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))))) |
(* -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)))))))) |
(* -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)))) |
(* -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 (/ (* 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)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* -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))))))) |
(pow b 2) |
(+ (* 3/2 (* a c)) (pow b 2)) |
(+ (* a (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c))) (pow b 2)) |
(+ (* a (+ (* 3/2 c) (* a (+ (* 9/8 (/ (pow c 2) (pow b 2))) (* 27/16 (/ (* a (pow c 3)) (pow b 4))))))) (pow b 2)) |
(* 1/3 (/ (pow b 2) a)) |
(/ (+ (* 1/3 (* a (+ (* -3 c) (* 3/2 c)))) (* 1/3 (pow b 2))) a) |
(/ (+ (* 1/3 (pow b 2)) (* a (+ (* 1/3 (+ (* -3 c) (* 3/2 c))) (* 3/8 (/ (* a (pow c 2)) (pow b 2)))))) a) |
(/ (+ (* 1/3 (pow b 2)) (* a (+ (* 1/3 (+ (* -3 c) (* 3/2 c))) (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 9/16 (/ (* a (pow c 3)) (pow b 4)))))))) a) |
(pow b 2) |
(+ (* a (+ (* -3 c) (* 3/2 c))) (pow b 2)) |
(+ (* a (+ (* -3 c) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)))) (pow b 2)) |
(+ (* a (+ (* -3 c) (+ (* 3/2 c) (* a (+ (* 9/8 (/ (pow c 2) (pow b 2))) (* 27/16 (/ (* a (pow c 3)) (pow b 4)))))))) (pow b 2)) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* 3/2 (/ (* a c) b)) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -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 2) (+ (* -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))))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* 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 (/ 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))))))) |
(* (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)))))) |
(* -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))))) |
(* 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)) (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))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 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 (* (sqrt (* a c)) (* b (sqrt -3)))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))) (* 2 (/ (pow b 2) a)))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (* 2 (/ (pow b 2) a))))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (* 2 (/ (pow b 2) a)))))) |
(* 1/3 (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))))) |
(+ (* 1/3 (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))))) (* 2/3 (/ (pow b 2) a))) |
(+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/3 (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))))) (* 2/3 (/ (pow b 2) a)))) |
(+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 1/3 (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))))) (* 2/3 (/ (pow b 2) a))))) |
(* a (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))))) |
(* a (+ (* -3 c) (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))) (* 2 (/ (pow b 2) a))))) |
(* a (+ (* -3 c) (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (* 2 (/ (pow b 2) a)))))) |
(* a (+ (* -3 c) (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (* 2 (/ (pow b 2) a))))))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -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 (/ 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 (* (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)))))))) |
(* -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)))))) |
(* -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 (* 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)))))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 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))))) |
(* (sqrt (* a c)) (* b (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 2 (pow b 2))) a))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 2 (pow b 2))) a))))) |
(* -1/3 (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))) |
(+ (* -1/3 (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))) (* 2/3 (/ (pow b 2) a))) |
(+ (* -1 (/ (+ (* -2/3 (pow b 2)) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) a)) (* -2/3 (pow b 2))) a)) (* -1/3 (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) |
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 2 (pow b 2))) a)) (* 3 c))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 2 (pow b 2))) a)) (* 3 c))))) |
(* -3 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
| Outputs |
|---|
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) (*.f64 c c)) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) (*.f64 c c)) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) (*.f64 c c)) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/.f64 (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -135/128 binary64) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 c c) c)) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -135/128 binary64) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 c c) c)) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -135/128 binary64) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 c c) 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 (*.f64 a c) (*.f64 (*.f64 b b) b)) #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 (*.f64 (*.f64 b b) b)) #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 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #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)))) |
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(* (sqrt (* a c)) (sqrt -3)) |
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(*.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b))) #s(literal -9/8 binary64)) |
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(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
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(* -1 (* (sqrt (* a c)) (* b (sqrt -3)))) |
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(* 1/3 (/ (* c (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))) a)) |
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(* c (+ (* 1/3 (/ (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) a)) (* 2/3 (/ (pow b 2) (* a c))))) |
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(* c (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/3 (/ (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) a)) (* 2/3 (/ (pow b 2) (* a c)))))) |
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(* c (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))) |
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(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
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(* -3 (* a c)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
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(* c (+ (* -3 a) (/ (pow b 2) c))) |
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(* c (+ (* -3 a) (/ (pow b 2) c))) |
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(/ (pow c 2) (pow b 3)) |
(/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) |
(/ (pow c 2) (pow b 3)) |
(/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) |
(/ (pow c 2) (pow b 3)) |
(/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) |
(/ (pow c 2) (pow b 3)) |
(/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
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(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3)))) |
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(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
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(* 405/64 (/ (pow c 4) (pow b 7))) |
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(* 405/64 (/ (pow c 4) (pow b 7))) |
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(* 405/64 (/ (pow c 4) (pow b 7))) |
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 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))))) |
(-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) b)) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.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))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 a))) (neg.f64 a))) |
(* (sqrt (* a c)) (* b (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 a c))) |
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 b b) a)))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 2 (pow b 2))) a))))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 (*.f64 b b) b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 b b) #s(literal 2 binary64))) a)))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 2 (pow b 2))) a))))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 (*.f64 b b) b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 a))) a)))) |
(* -1/3 (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))) |
(*.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal 3 binary64) c)) #s(literal -1/3 binary64)) |
(+ (* -1/3 (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))) (* 2/3 (/ (pow b 2) a))) |
(fma.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal 3 binary64) c)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 b b) a))) |
(+ (* -1 (/ (+ (* -2/3 (pow b 2)) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) |
(fma.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal 3 binary64) c)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 (*.f64 b b) b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 b b) #s(literal -2/3 binary64))) (neg.f64 a))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) a)) (* -2/3 (pow b 2))) a)) (* -1/3 (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) |
(fma.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal 3 binary64) c)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 (*.f64 b b) b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))))) (neg.f64 a))) (neg.f64 a))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) |
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal 3 binary64) c))) |
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 b b) a) (fma.f64 (neg.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal 3 binary64) c)))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 2 (pow b 2))) a)) (* 3 c))))) |
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal 3 binary64) c (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 (*.f64 b b) b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 b b) #s(literal 2 binary64))) (neg.f64 a))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 2 (pow b 2))) a)) (* 3 c))))) |
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal 3 binary64) c (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 (*.f64 b b) b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 a))) (neg.f64 a))))) |
(* -3 (* a c)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(* -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)))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.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 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) b) (neg.f64 a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.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))) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) #s(literal -1/2 binary64))) a)) (neg.f64 a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) |
| 6 696× | lower-*.f32 |
| 6 662× | lower-*.f64 |
| 5 864× | lower-fma.f32 |
| 5 850× | lower-fma.f64 |
| 4 018× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 496 |
| 0 | 114 | 475 |
| 1 | 443 | 453 |
| 2 | 3740 | 453 |
| 0 | 10328 | 453 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
(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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) |
(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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #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) |
(/.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 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(-.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 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.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)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) |
(*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 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 a #s(literal 3 binary64))) (/.f64 (-.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 (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.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 a #s(literal 3 binary64))) |
(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 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 b b) b)) (/.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 b b) b))) |
(*.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(*.f64 (/.f64 #s(literal 405/64 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(*.f64 #s(literal 405/64 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 405/64 binary64) b)) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 405/64 binary64) b))) |
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 c c) c) c))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 b #s(literal 64/405 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c))) #s(literal -1 binary64)) |
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(/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (fma.f64 (*.f64 (*.f64 b b) b) b (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) b) b)))) |
(/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))) |
(/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) c) a))))) |
(fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b (*.f64 (*.f64 #s(literal -3 binary64) c) a)) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 #s(literal -1 binary64) (*.f64 b (neg.f64 b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) c) (*.f64 b b)) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(fma.f64 (neg.f64 c) (*.f64 #s(literal 3 binary64) a) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 c) (*.f64 b b)) |
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 a c)) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a)) |
(fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) |
(sqrt.f64 (*.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 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 (neg.f64 b) b))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 (neg.f64 b) b)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))) (/.f64 (*.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fabs.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(exp.f64 (*.f64 (log.f64 (*.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)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) |
(*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 b (*.f64 c c)) #s(literal -1 binary64))) |
(*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) c) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (/.f64 c (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b)) (*.f64 c c)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) c)) |
(*.f64 (*.f64 c (/.f64 c (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 c (*.f64 b b)) (/.f64 c b)) |
(*.f64 (*.f64 (neg.f64 c) c) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b))) |
(*.f64 (/.f64 c b) (/.f64 c (*.f64 b b))) |
(*.f64 (*.f64 c c) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b))) |
(*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) |
(pow.f64 (/.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 c c))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (*.f64 c (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 c c))) #s(literal -1 binary64)) |
(/.f64 (*.f64 c (/.f64 c b)) (*.f64 b b)) |
(/.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) (/.f64 b c)) |
(/.f64 (*.f64 (/.f64 c (*.f64 b b)) (neg.f64 c)) (neg.f64 b)) |
(/.f64 (*.f64 (*.f64 c c) #s(literal 1 binary64)) (*.f64 (*.f64 b b) b)) |
(/.f64 (*.f64 (/.f64 c (*.f64 b b)) c) b) |
(/.f64 (/.f64 (*.f64 c c) b) (*.f64 b b)) |
(/.f64 (neg.f64 (*.f64 c (/.f64 c (*.f64 b b)))) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 c) c)) (*.f64 (*.f64 b b) b)) |
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 (*.f64 b b) (/.f64 b c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 c c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 c c))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c (/.f64 c (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (/.f64 b (*.f64 c c)))) |
(/.f64 (*.f64 c (/.f64 c (*.f64 b b))) b) |
(/.f64 (/.f64 c (*.f64 b b)) (/.f64 b c)) |
(/.f64 (*.f64 (neg.f64 c) c) (*.f64 (*.f64 b b) b)) |
(/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) |
(neg.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) c)) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)) (*.f64 (log.f64 b) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 c c)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (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 1 binary64) (fma.f64 b b (fma.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)))))) |
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 b b (fma.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 (*.f64 b b) b) (*.f64 (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))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (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))))) (neg.f64 (fma.f64 b b (fma.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 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (-.f64 b (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 b b) (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 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.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 (*.f64 b b) b) (*.f64 (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 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (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)))) (fma.f64 b b (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (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)))) (fma.f64 b b (fma.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))))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(-.f64 (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 b b (fma.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 (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))) (fma.f64 b b (fma.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 (*.f64 b b) (+.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)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) |
(+.f64 b (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
Compiled 208 987 to 8 816 computations (95.8% saved)
77 alts after pruning (74 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 908 | 62 | 2 970 |
| Fresh | 26 | 12 | 38 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 937 | 77 | 3 014 |
| Status | Accuracy | Program |
|---|---|---|
| 53.9% | (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b))) | |
| 52.8% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.8% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.4% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 53.7% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| 53.7% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 54.9% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) | |
| 53.7% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 53.8% | (/.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)) | |
| ✓ | 53.7% | (/.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)) |
| 53.5% | (/.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)) | |
| 53.7% | (/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 (-.f64 (+.f64 b b) (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)) (*.f64 #s(literal 3 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b)))) | |
| 53.7% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) | |
| ▶ | 54.9% | (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) 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)) |
| 53.7% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 54.9% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.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))) | |
| 82.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 65.8% | (/.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)) | |
| 81.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (/ (* c c) (* (* b b) b))) (* (/ c b) -3/2)) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) c)) b)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 65.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 81.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (* a -9/8) (/ (* c c) (* (* b b) b))) (* (/ c b) -3/2)) a) (*.f64 (fma.f64 (/.f64 a (*.f64 b c)) #s(literal -3/2 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) (*.f64 c c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.7% | (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)))) | |
| 53.7% | (/.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))) | |
| 53.7% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) c) a)))))) (neg.f64 b)))) | |
| 53.8% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)))) (neg.f64 b)))) | |
| 54.2% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (neg.f64 b)))) | |
| 53.2% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)))) | |
| 54.2% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))))))) | |
| 53.8% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))))) | |
| 53.9% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (+.f64 #s(literal 0 binary64) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))) (+.f64 #s(literal 0 binary64) b))))) | |
| 53.7% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 #s(literal 0 binary64) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (+.f64 #s(literal 0 binary64) b))))) | |
| 54.9% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (+.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)) (*.f64 b b)))))) | |
| 54.4% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.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))))) | |
| 54.2% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (/.f64 (*.f64 (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))) (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 (*.f64 b b) b) (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))))))) | |
| ✓ | 53.7% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
| 53.5% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c))) b))) | |
| 54.9% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))) | |
| 65.8% | (/.f64 #s(literal 1/3 binary64) (/.f64 a #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))))) | |
| 54.9% | (/.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))) | |
| 53.7% | (/.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)) | |
| 91.0% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) c) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 c c))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))) | |
| 88.1% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))) | |
| 82.6% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))) | |
| ▶ | 91.0% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c))) |
| 88.1% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b)) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c))) | |
| 82.6% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c))) | |
| 82.5% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal -2/3 binary64) c)) b))) | |
| 65.8% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) | |
| 90.9% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.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 a a) a) (*.f64 c c)) #s(literal 9/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 a (*.f64 c c))) #s(literal -2/9 binary64)))) (neg.f64 (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/4 binary64) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal 3/8 binary64) (/.f64 #s(literal 2/3 binary64) c))))) b))) | |
| 88.1% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) 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))) | |
| 52.9% | (-.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)))) | |
| 52.9% | (+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b))) | |
| 53.7% | (*.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) (*.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))))))) #s(literal 3 binary64)) a))) | |
| 54.2% | (*.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 a #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))))) (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))))))))) | |
| 54.9% | (*.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 a #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.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)) (*.f64 b b)))) (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))))))))) | |
| 53.7% | (*.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 a #s(literal 3 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 #s(literal -3 binary64) c) a)))) | |
| 53.7% | (*.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 a #s(literal 3 binary64))) (/.f64 (-.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 (fma.f64 b b (*.f64 b (-.f64 b (exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64))))))))) | |
| 53.7% | (*.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (*.f64 a #s(literal 3 binary64))) (/.f64 (-.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 (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) | |
| 53.7% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64))) | |
| 53.7% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 53.7% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| 44.2% | (*.f64 #s(approx (/ (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* a 3)) (fma.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 3/8 binary64) #s(literal -1/2 binary64)) c (*.f64 (/.f64 (*.f64 b b) a) #s(literal 1/3 binary64)))) (/.f64 (-.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 (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) | |
| ▶ | 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 90.6% | #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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))) | |
| 88.8% | #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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))) | |
| 90.6% | #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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))) | |
| ▶ | 82.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 87.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (*.f64 b b)) #s(literal -9/16 binary64) (*.f64 (*.f64 c c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) a)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))))) b)) | |
| 82.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 65.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.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)) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 87.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #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)) | |
| 82.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ✓ | 65.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ▶ | 65.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
Compiled 6 215 to 2 958 computations (52.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| cost-diff | 320 | (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) | |
| cost-diff | 320 | (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| cost-diff | 960 | (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) a) | |
| cost-diff | 384 | (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) 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)) | |
| cost-diff | 512 | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) | |
| cost-diff | 896 | (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) | |
| cost-diff | 0 | (*.f64 a (*.f64 c c)) | |
| cost-diff | 0 | (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| cost-diff | 640 | (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| 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 | 640 | (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) | |
| cost-diff | 640 | (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) | |
| cost-diff | 4864 | (pow.f64 b #s(literal 6 binary64)) | |
| cost-diff | 5184 | (pow.f64 b #s(literal 5 binary64)) |
| 11 182× | lower-fma.f32 |
| 11 162× | lower-fma.f64 |
| 6 078× | lower-*.f32 |
| 6 022× | lower-*.f64 |
| 2 538× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 1336 |
| 0 | 173 | 1330 |
| 1 | 347 | 1167 |
| 2 | 997 | 1038 |
| 3 | 4467 | 991 |
| 4 | 7245 | 991 |
| 0 | 8358 | 977 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c))) |
#s(literal 1/3 binary64) |
#s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) |
(fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) |
(neg.f64 c) |
c |
(fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) |
(*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) |
a |
(/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b)) |
(*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) |
(*.f64 a a) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
b |
#s(literal -3/8 binary64) |
#s(literal -3/4 binary64) |
(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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64)))) |
(*.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)) |
(/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a) |
(*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) |
(/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(literal 405/64 binary64) |
#s(literal -2/9 binary64) |
(/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 a a) a)) |
#s(literal 9/16 binary64) |
(*.f64 (*.f64 a a) a) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 a a)) |
#s(literal 3/8 binary64) |
(*.f64 (/.f64 a b) #s(literal 1/2 binary64)) |
(/.f64 a b) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -2/3 binary64) b) |
#s(literal -2/3 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)) (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) |
(*.f64 a (*.f64 c c)) |
a |
(*.f64 c c) |
c |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
b |
#s(literal -3/8 binary64) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) 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 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) |
(/.f64 #s(literal 1/3 binary64) a) |
#s(literal 1/3 binary64) |
a |
(-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.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 |
(*.f64 b b) |
b |
(+.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))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) |
(fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) |
(/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) |
c |
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
b |
(*.f64 (*.f64 c c) #s(literal -9/16 binary64)) |
(*.f64 c c) |
#s(literal -9/16 binary64) |
(*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) |
(*.f64 a #s(literal -1/6 binary64)) |
a |
#s(literal -1/6 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(*.f64 (*.f64 (*.f64 c c) c) c) |
(*.f64 (*.f64 c c) c) |
(/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))) |
#s(literal 405/64 binary64) |
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)) |
(*.f64 (*.f64 (*.f64 b b) b) b) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -45/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) a))) b (*.f64 (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) (*.f64 #s(literal 9/16 binary64) (*.f64 a a)))) (neg.f64 c) (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) a) (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) (*.f64 #s(literal 3/4 binary64) c) #s(literal 3/8 binary64)))) c (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) c (*.f64 #s(literal -2/3 binary64) b)) c))) |
#s(literal 1/3 binary64) |
#s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c)) |
#s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -45/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) a))) b (*.f64 (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) (*.f64 #s(literal 9/16 binary64) (*.f64 a a)))) (neg.f64 c) (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) a) (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) (*.f64 #s(literal 3/4 binary64) c) #s(literal 3/8 binary64)))) c (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) c (*.f64 #s(literal -2/3 binary64) b)) c)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -45/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) a))) b (*.f64 (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) (*.f64 #s(literal 9/16 binary64) (*.f64 a a)))) (neg.f64 c) (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) a) (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) (*.f64 #s(literal 3/4 binary64) c) #s(literal 3/8 binary64)))) c (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) c (*.f64 #s(literal -2/3 binary64) b)) c) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -45/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) a))) b (*.f64 (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) (*.f64 #s(literal 9/16 binary64) (*.f64 a a)))) (neg.f64 c) (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) a) (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) (*.f64 #s(literal 3/4 binary64) c) #s(literal 3/8 binary64)))) c (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) c (*.f64 #s(literal -2/3 binary64) b)) |
(fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -45/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) a))) b (*.f64 (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) (*.f64 #s(literal 9/16 binary64) (*.f64 a a)))) (neg.f64 c) (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) a) (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) (*.f64 #s(literal 3/4 binary64) c) #s(literal 3/8 binary64)))) c (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) |
(fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -45/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) a))) b (*.f64 (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) (*.f64 #s(literal 9/16 binary64) (*.f64 a a)))) (neg.f64 c) (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) a) (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) (*.f64 #s(literal 3/4 binary64) c) #s(literal 3/8 binary64)))) |
(neg.f64 c) |
c |
(fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) |
(fma.f64 (*.f64 #s(literal -45/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) a))) b (*.f64 a (fma.f64 #s(literal 9/32 binary64) (*.f64 a (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))))) |
(*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) |
(*.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 a (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) |
a |
(/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b)) |
(*.f64 (*.f64 a (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) #s(literal -3/8 binary64)) |
(*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) |
(/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) a) |
(*.f64 a a) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
b |
#s(literal -3/8 binary64) |
#s(literal -3/4 binary64) |
(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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64)))) |
(fma.f64 (*.f64 #s(literal -45/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) a))) b (*.f64 (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) (*.f64 #s(literal 9/16 binary64) (*.f64 a a)))) |
(*.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)) |
(*.f64 (*.f64 #s(literal 405/64 binary64) b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) a))) |
(/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a) |
(*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) a)) #s(literal 405/64 binary64)) |
(*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) |
(*.f64 (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (pow.f64 a #s(literal 4 binary64))) |
(/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) |
(pow.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) |
#s(literal 6 binary64) |
#s(literal 405/64 binary64) |
#s(literal -2/9 binary64) |
(/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) (*.f64 #s(literal 9/16 binary64) (*.f64 a a))) |
(*.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 a a) a)) |
(*.f64 (*.f64 (*.f64 a a) a) #s(literal 9/16 binary64)) |
#s(literal 9/16 binary64) |
(*.f64 (*.f64 a a) a) |
(pow.f64 b #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) |
#s(literal 5 binary64) |
(/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b))) a) |
(*.f64 #s(literal 3/8 binary64) (*.f64 a a)) |
#s(literal 3/8 binary64) |
(*.f64 (/.f64 a b) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 a b)) |
(/.f64 a b) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -2/3 binary64) b) |
#s(literal -2/3 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 c b) #s(literal -1/2 binary64))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
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)) (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64)))) |
(fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64))) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) c) a) |
(*.f64 a (*.f64 c c)) |
(*.f64 (*.f64 c c) a) |
a |
(*.f64 c c) |
c |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
b |
#s(literal -3/8 binary64) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) 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 (*.f64 (neg.f64 c) a) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) |
(/.f64 (*.f64 (neg.f64 c) a) a) |
(/.f64 #s(literal 1/3 binary64) a) |
#s(literal 1/3 binary64) |
a |
(-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) |
(*.f64 (*.f64 c #s(literal -3 binary64)) a) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 (*.f64 (*.f64 c c) c) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) a) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) (*.f64 a a) (*.f64 (/.f64 c b) (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 c c) c) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) a) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) (*.f64 a a) (*.f64 (/.f64 c b) (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64)))) |
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) |
(fma.f64 (*.f64 (*.f64 (*.f64 c c) c) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) a) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) a (*.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b)) c) c)) |
(fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) |
(*.f64 (*.f64 (*.f64 c c) c) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) a) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) |
(/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) |
(/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) |
c |
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) |
(*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
b |
(*.f64 (*.f64 c c) #s(literal -9/16 binary64)) |
(*.f64 #s(literal -9/16 binary64) (*.f64 c c)) |
(*.f64 c c) |
#s(literal -9/16 binary64) |
(*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) |
(*.f64 a #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) a) |
a |
#s(literal -1/6 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(*.f64 (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) |
(*.f64 (*.f64 (*.f64 c c) c) c) |
(*.f64 (*.f64 c c) c) |
(/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))) |
(/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) |
#s(literal 405/64 binary64) |
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)) |
(*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 (*.f64 b b) b) b) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b)) c) c) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.375 | (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) | |
| accuracy | 0.375 | (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) | |
| accuracy | 0.38671875 | (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) | |
| accuracy | 5.800265775971024 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| accuracy | 0.240566259768442 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.30859375 | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) | |
| accuracy | 0.41796875 | (/.f64 #s(literal 1/3 binary64) a) | |
| accuracy | 28.96932124322329 | (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) | |
| accuracy | 0.23828125 | (*.f64 (*.f64 b b) b) | |
| accuracy | 0.25390625 | (*.f64 a (*.f64 c c)) | |
| accuracy | 0.303730029305326 | (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) | |
| accuracy | 11.367890172756463 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| accuracy | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| accuracy | 0.24609375 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) | |
| accuracy | 21.810439601954958 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) | |
| accuracy | 0.42806625976844204 | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c))) | |
| accuracy | 0.4609375 | (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) | |
| accuracy | 0.6485902344426085 | (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64)))) | |
| accuracy | 5.483765199293408 | #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c)) |
| 144.0ms | 163× | 0 | valid |
| 136.0ms | 93× | 1 | valid |
Compiled 1 136 to 103 computations (90.9% saved)
ival-mult: 96.0ms (46.8% of total)ival-div: 38.0ms (18.5% of total)const: 18.0ms (8.8% of total)ival-add: 17.0ms (8.3% of total)adjust: 12.0ms (5.9% of total)ival-pow: 10.0ms (4.9% of total)ival-sub: 5.0ms (2.4% of total)ival-sqrt: 5.0ms (2.4% of total)exact: 2.0ms (1% of total)ival-neg: 2.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (patch (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) #<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 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (patch (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (patch (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) 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)) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) 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)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) a) (patch (/.f64 #s(literal 1/3 binary64) a) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) (patch (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) (patch (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c)) (patch #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c)) #<representation binary64>) () ()) |
#s(alt (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64)))) (patch (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c))) (patch (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 b b) b) (patch (*.f64 (*.f64 b b) 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 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) (patch (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) (patch (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 3/8 (/ (pow a 2) (pow b 3))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* c (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5))))))) (* 3/8 (/ (pow a 2) (pow b 3)))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* c (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5))))))) (* 3/8 (/ (pow a 2) (pow b 3)))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* c (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5))))))) (* 3/8 (/ (pow a 2) (pow b 3)))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#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 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#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 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (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 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (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 (* -1/2 (/ c b)) (taylor 0 c) (#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 (* -1/2 (/ c b)) (taylor 0 c) (#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 (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) (patch (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | c | @ | inf | ((pow b 5) (pow b 6) (+ (* (neg c) (+ (* (* a (/ (* (/ (* a a) (* (* b b) b)) -3/8) (* b b))) -3/4) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (* (* a a) a)) (pow b 5))))) (/ (* 3/8 (* a a)) (* (* b b) b))) (+ (* (* a (/ (* (/ (* a a) (* (* b b) b)) -3/8) (* b b))) -3/4) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (* (* a a) a)) (pow b 5)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (+ (* (/ (* a (* c c)) (* (* b b) b)) -3/8) (* (/ c b) -1/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* a (* c c)) (* (* b b) b)) (* a (* c c)) (- (+ (* (* -3 c) a) (* b b)) (* b b)) (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (/ (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ 1/3 a) (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) (+ (* (+ (* (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) a) (/ (* (* c c) -3/8) (* (* b b) b))) a) (* (/ c b) -1/2)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (* (* a a) a)) (pow b 5))) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (* (* b b) b) (+ (* (* -3 c) a) (* b b)) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))) (/ (* (* c c) -3/8) (* (* b b) b))) |
| 26.0ms | b | @ | inf | ((pow b 5) (pow b 6) (+ (* (neg c) (+ (* (* a (/ (* (/ (* a a) (* (* b b) b)) -3/8) (* b b))) -3/4) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (* (* a a) a)) (pow b 5))))) (/ (* 3/8 (* a a)) (* (* b b) b))) (+ (* (* a (/ (* (/ (* a a) (* (* b b) b)) -3/8) (* b b))) -3/4) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (* (* a a) a)) (pow b 5)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (+ (* (/ (* a (* c c)) (* (* b b) b)) -3/8) (* (/ c b) -1/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* a (* c c)) (* (* b b) b)) (* a (* c c)) (- (+ (* (* -3 c) a) (* b b)) (* b b)) (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (/ (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ 1/3 a) (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) (+ (* (+ (* (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) a) (/ (* (* c c) -3/8) (* (* b b) b))) a) (* (/ c b) -1/2)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (* (* a a) a)) (pow b 5))) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (* (* b b) b) (+ (* (* -3 c) a) (* b b)) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))) (/ (* (* c c) -3/8) (* (* b b) b))) |
| 21.0ms | a | @ | 0 | ((pow b 5) (pow b 6) (+ (* (neg c) (+ (* (* a (/ (* (/ (* a a) (* (* b b) b)) -3/8) (* b b))) -3/4) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (* (* a a) a)) (pow b 5))))) (/ (* 3/8 (* a a)) (* (* b b) b))) (+ (* (* a (/ (* (/ (* a a) (* (* b b) b)) -3/8) (* b b))) -3/4) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (* (* a a) a)) (pow b 5)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (+ (* (/ (* a (* c c)) (* (* b b) b)) -3/8) (* (/ c b) -1/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* a (* c c)) (* (* b b) b)) (* a (* c c)) (- (+ (* (* -3 c) a) (* b b)) (* b b)) (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (/ (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ 1/3 a) (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) (+ (* (+ (* (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) a) (/ (* (* c c) -3/8) (* (* b b) b))) a) (* (/ c b) -1/2)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (* (* a a) a)) (pow b 5))) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (* (* b b) b) (+ (* (* -3 c) a) (* b b)) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))) (/ (* (* c c) -3/8) (* (* b b) b))) |
| 20.0ms | c | @ | -inf | ((pow b 5) (pow b 6) (+ (* (neg c) (+ (* (* a (/ (* (/ (* a a) (* (* b b) b)) -3/8) (* b b))) -3/4) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (* (* a a) a)) (pow b 5))))) (/ (* 3/8 (* a a)) (* (* b b) b))) (+ (* (* a (/ (* (/ (* a a) (* (* b b) b)) -3/8) (* b b))) -3/4) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (* (* a a) a)) (pow b 5)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (+ (* (/ (* a (* c c)) (* (* b b) b)) -3/8) (* (/ c b) -1/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* a (* c c)) (* (* b b) b)) (* a (* c c)) (- (+ (* (* -3 c) a) (* b b)) (* b b)) (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (/ (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ 1/3 a) (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) (+ (* (+ (* (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) a) (/ (* (* c c) -3/8) (* (* b b) b))) a) (* (/ c b) -1/2)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (* (* a a) a)) (pow b 5))) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (* (* b b) b) (+ (* (* -3 c) a) (* b b)) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))) (/ (* (* c c) -3/8) (* (* b b) b))) |
| 19.0ms | b | @ | -inf | ((pow b 5) (pow b 6) (+ (* (neg c) (+ (* (* a (/ (* (/ (* a a) (* (* b b) b)) -3/8) (* b b))) -3/4) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (* (* a a) a)) (pow b 5))))) (/ (* 3/8 (* a a)) (* (* b b) b))) (+ (* (* a (/ (* (/ (* a a) (* (* b b) b)) -3/8) (* b b))) -3/4) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (* (* a a) a)) (pow b 5)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (+ (* (/ (* a (* c c)) (* (* b b) b)) -3/8) (* (/ c b) -1/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* a (* c c)) (* (* b b) b)) (* a (* c c)) (- (+ (* (* -3 c) a) (* b b)) (* b b)) (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (/ (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ 1/3 a) (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) (+ (* (+ (* (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) a) (/ (* (* c c) -3/8) (* (* b b) b))) a) (* (/ c b) -1/2)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (* (* a a) a)) (pow b 5))) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (* (* b b) b) (+ (* (* -3 c) a) (* b b)) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))) (/ (* (* c c) -3/8) (* (* b b) b))) |
| 1× | egg-herbie |
| 8 452× | lower-fma.f64 |
| 8 452× | lower-fma.f32 |
| 6 680× | lower-*.f64 |
| 6 680× | lower-*.f32 |
| 5 364× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1068 | 12524 |
| 1 | 3491 | 11874 |
| 0 | 8257 | 11458 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3/8 (/ (pow a 2) (pow b 3))) |
(+ (* -1 (* c (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5))))))) (* 3/8 (/ (pow a 2) (pow b 3)))) |
(+ (* -1 (* c (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5))))))) (* 3/8 (/ (pow a 2) (pow b 3)))) |
(+ (* -1 (* c (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5))))))) (* 3/8 (/ (pow a 2) (pow b 3)))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* -1/2 (/ 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 (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 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)))) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 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))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* -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)))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -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) |
(* -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)))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -1 (* c (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5))))))) |
(* c (+ (* -1 (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5)))))) (* 3/8 (/ (pow a 2) (* (pow b 3) c))))) |
(* c (+ (* -1 (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5)))))) (* 3/8 (/ (pow a 2) (* (pow b 3) c))))) |
(* c (+ (* -1 (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5)))))) (* 3/8 (/ (pow a 2) (* (pow b 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))))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* 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))))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* -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 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* 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) |
(* 1/3 (* (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)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -1 (* c (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5))))))) |
(* -1 (* c (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* -3/8 (/ (pow a 2) (* (pow b 3) c))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5)))))))) |
(* -1 (* c (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* -3/8 (/ (pow a 2) (* (pow b 3) c))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5)))))))) |
(* -1 (* c (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* -3/8 (/ (pow a 2) (* (pow b 3) c))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5)))))))) |
(* -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)) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -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))))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -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))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (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)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -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)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* -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 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -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)) |
(* -1/3 (* (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)) |
(* -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)))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(* -1 (/ (* c (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3))))) (pow b 5))) |
(/ (+ (* -1 (* c (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))))) (* 3/8 (* (pow a 2) (pow b 2)))) (pow b 5)) |
(/ (+ (* -1 (* c (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))))) (* 3/8 (* (pow a 2) (pow b 2)))) (pow b 5)) |
(/ (+ (* -1 (* c (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))))) (* 3/8 (* (pow a 2) (pow b 2)))) (pow b 5)) |
(/ (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))) (pow b 5)) |
(/ (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))) (pow b 5)) |
(/ (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))) (pow b 5)) |
(/ (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))) (pow b 5)) |
(* 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) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(* 1/3 (* (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))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(* -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 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* 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)))) |
(/ (+ (* -45/32 (pow a 3)) (* 9/16 (pow a 3))) (pow b 5)) |
(/ (+ (* -45/32 (pow a 3)) (* 9/16 (pow a 3))) (pow b 5)) |
(/ (+ (* -45/32 (pow a 3)) (* 9/16 (pow a 3))) (pow b 5)) |
(/ (+ (* -45/32 (pow a 3)) (* 9/16 (pow a 3))) (pow b 5)) |
(* 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))))) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(* 3/8 (/ (pow a 2) (pow b 3))) |
(/ (+ (* -1 (/ (* c (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3))))) (pow b 2))) (* 3/8 (pow a 2))) (pow b 3)) |
(/ (+ (* -1 (/ (* c (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3))))) (pow b 2))) (* 3/8 (pow a 2))) (pow b 3)) |
(/ (+ (* -1 (/ (* c (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3))))) (pow b 2))) (* 3/8 (pow a 2))) (pow b 3)) |
(/ (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))) (pow b 5)) |
(/ (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))) (pow b 5)) |
(/ (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))) (pow b 5)) |
(/ (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))) (pow b 5)) |
(* -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) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 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) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -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) |
(/ (+ (* -27/32 (/ (* (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))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(* -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) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -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))))))) |
(/ (+ (* -45/32 (pow a 3)) (* 9/16 (pow a 3))) (pow b 5)) |
(/ (+ (* -45/32 (pow a 3)) (* 9/16 (pow a 3))) (pow b 5)) |
(/ (+ (* -45/32 (pow a 3)) (* 9/16 (pow a 3))) (pow b 5)) |
(/ (+ (* -45/32 (pow a 3)) (* 9/16 (pow a 3))) (pow b 5)) |
(* -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) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(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))))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(* 3/8 (/ (pow a 2) (pow b 3))) |
(* -1 (/ (+ (* -1 (/ (* c (+ (* -9/16 (pow a 3)) (+ (* -9/32 (pow a 3)) (* 45/32 (pow a 3))))) (pow b 2))) (* -3/8 (pow a 2))) (pow b 3))) |
(* -1 (/ (+ (* -1 (/ (* c (+ (* -9/16 (pow a 3)) (+ (* -9/32 (pow a 3)) (* 45/32 (pow a 3))))) (pow b 2))) (* -3/8 (pow a 2))) (pow b 3))) |
(* -1 (/ (+ (* -1 (/ (* c (+ (* -9/16 (pow a 3)) (+ (* -9/32 (pow a 3)) (* 45/32 (pow a 3))))) (pow b 2))) (* -3/8 (pow a 2))) (pow b 3))) |
(* -1 (/ (+ (* -9/16 (pow a 3)) (+ (* -9/32 (pow a 3)) (* 45/32 (pow a 3)))) (pow b 5))) |
(* -1 (/ (+ (* -9/16 (pow a 3)) (+ (* -9/32 (pow a 3)) (* 45/32 (pow a 3)))) (pow b 5))) |
(* -1 (/ (+ (* -9/16 (pow a 3)) (+ (* -9/32 (pow a 3)) (* 45/32 (pow a 3)))) (pow b 5))) |
(* -1 (/ (+ (* -9/16 (pow a 3)) (+ (* -9/32 (pow a 3)) (* 45/32 (pow a 3)))) (pow b 5))) |
(* -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) |
(* -1/2 (/ c b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -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))))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (* c (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))))) (pow b 6))) (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (* (pow b 6) c)))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a)))))))))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -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)) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -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)) |
(* -1 (/ (+ (* -9/16 (pow a 3)) (* 45/32 (pow a 3))) (pow b 5))) |
(* -1 (/ (+ (* -9/16 (pow a 3)) (* 45/32 (pow a 3))) (pow b 5))) |
(* -1 (/ (+ (* -9/16 (pow a 3)) (* 45/32 (pow a 3))) (pow b 5))) |
(* -1 (/ (+ (* -9/16 (pow a 3)) (* 45/32 (pow a 3))) (pow b 5))) |
(* -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))))))) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(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))))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* 3/8 (/ (pow a 2) (pow b 3))) |
(* (pow a 2) (+ (* 9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow a 2) (+ (* 9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow a 2) (+ (* 9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* -9/16 (/ (pow a 3) (pow b 5))) |
(* -9/16 (/ (pow a 3) (pow b 5))) |
(* -9/16 (/ (pow a 3) (pow b 5))) |
(* -9/16 (/ (pow a 3) (pow b 5))) |
(* -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)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(* -1/2 (/ c b)) |
(+ (* -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))))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -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))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(* -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)))))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -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))))) |
(* -27/32 (/ (pow a 3) (pow b 5))) |
(* -27/32 (/ (pow a 3) (pow b 5))) |
(* -27/32 (/ (pow a 3) (pow b 5))) |
(* -27/32 (/ (pow a 3) (pow b 5))) |
(* -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))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* 9/16 (/ (* (pow a 3) c) (pow b 5))) |
(* (pow a 3) (+ (* 9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* (pow a 3) (+ (* 9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* (pow a 3) (+ (* 9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* -9/16 (/ (pow a 3) (pow b 5))) |
(* -9/16 (/ (pow a 3) (pow b 5))) |
(* -9/16 (/ (pow a 3) (pow b 5))) |
(* -9/16 (/ (pow a 3) (pow b 5))) |
(* 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)))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* 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)))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* -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 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* 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))))))) |
(* -27/32 (/ (pow a 3) (pow b 5))) |
(* -27/32 (/ (pow a 3) (pow b 5))) |
(* -27/32 (/ (pow a 3) (pow b 5))) |
(* -27/32 (/ (pow a 3) (pow b 5))) |
(* 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)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* 9/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -1 (* (pow a 3) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))) |
(* -1 (* (pow a 3) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))) |
(* -1 (* (pow a 3) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))) |
(* -9/16 (/ (pow a 3) (pow b 5))) |
(* -9/16 (/ (pow a 3) (pow b 5))) |
(* -9/16 (/ (pow a 3) (pow b 5))) |
(* -9/16 (/ (pow a 3) (pow b 5))) |
(* -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))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1/3 (* (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))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -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 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -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))) |
(* -27/32 (/ (pow a 3) (pow b 5))) |
(* -27/32 (/ (pow a 3) (pow b 5))) |
(* -27/32 (/ (pow a 3) (pow b 5))) |
(* -27/32 (/ (pow a 3) (pow b 5))) |
(* -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)) |
(* -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)))) |
| Outputs |
|---|
(* 3/8 (/ (pow a 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 a a) #s(literal 3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(+ (* -1 (* c (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5))))))) (* 3/8 (/ (pow a 2) (pow b 3)))) |
(fma.f64 (neg.f64 c) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal 3/8 binary64)) (*.f64 (*.f64 b b) b))) |
(+ (* -1 (* c (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5))))))) (* 3/8 (/ (pow a 2) (pow b 3)))) |
(fma.f64 (neg.f64 c) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal 3/8 binary64)) (*.f64 (*.f64 b b) b))) |
(+ (* -1 (* c (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5))))))) (* 3/8 (/ (pow a 2) (pow b 3)))) |
(fma.f64 (neg.f64 c) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal 3/8 binary64)) (*.f64 (*.f64 b 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 c a) (*.f64 (*.f64 b b) b)) #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 (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (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 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 b a))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #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 (*.f64 c a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.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 (*.f64 c a) (*.f64 (*.f64 b b) b)) #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 (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (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 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 b a))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(/ (* a (pow c 2)) (pow b 3)) |
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) 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) |
(* -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 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 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 (*.f64 c a) (*.f64 (*.f64 b b) b)) #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 (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (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))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 7 binary64))) c (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
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(*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (pow.f64 b #s(literal 5 binary64)) a)) #s(literal 9/16 binary64) (/.f64 (*.f64 #s(literal 135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (pow.f64 b #s(literal 5 binary64)) a)) #s(literal 9/16 binary64) (/.f64 (*.f64 #s(literal 135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64)))) #s(literal -135/128 binary64)) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 a a) a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (pow.f64 b #s(literal 5 binary64)) a)) #s(literal 9/16 binary64) (/.f64 (*.f64 #s(literal 135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) |
(* -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)))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 a a) a)) (fma.f64 #s(literal 135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) a)) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 a)))) |
(* -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)))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 a a) a)) (fma.f64 #s(literal 135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 c (*.f64 b a)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (neg.f64 a))) (neg.f64 a)))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 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))))) |
(-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) b)) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (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 -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 a))) (neg.f64 a))) |
(* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* c (pow (sqrt 3) 2))))) |
(neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/3 binary64) (/.f64 b c)))) |
(+ (* -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))) |
(neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a (*.f64 (*.f64 c c) c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 a (*.f64 #s(literal 1/3 binary64) (/.f64 b c)))) 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))) |
(neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) a) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)) (*.f64 c c))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64)))) (neg.f64 a)) (*.f64 a (*.f64 #s(literal -1/3 binary64) (/.f64 b c)))) a))) |
(* -27/32 (/ (pow a 3) (pow b 5))) |
(/.f64 (*.f64 #s(literal -27/32 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/32 (/ (pow a 3) (pow b 5))) |
(/.f64 (*.f64 #s(literal -27/32 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/32 (/ (pow a 3) (pow b 5))) |
(/.f64 (*.f64 #s(literal -27/32 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/32 (/ (pow a 3) (pow b 5))) |
(/.f64 (*.f64 #s(literal -27/32 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 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))))) |
(-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) b)) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (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 -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 a))) (neg.f64 a))) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 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)))) |
| 6 088× | lower-*.f32 |
| 6 032× | lower-*.f64 |
| 4 802× | lower-fma.f32 |
| 4 782× | lower-fma.f64 |
| 2 664× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 736 |
| 0 | 173 | 642 |
| 1 | 653 | 562 |
| 2 | 5421 | 562 |
| 0 | 9279 | 557 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 b #s(literal 5 binary64)) |
(pow.f64 b #s(literal 6 binary64)) |
(fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) |
(fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 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)) |
(/.f64 #s(literal -1/2 binary64) b) |
(fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) |
(*.f64 a (*.f64 c c)) |
(-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) 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(literal 1/3 binary64) a) |
(fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c)) |
(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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64)))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c))) |
(*.f64 (*.f64 b b) b) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 b #s(literal 5/2 binary64))) (pow.f64 b #s(literal 5/2 binary64))) |
(*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 b b) b) b)) b) |
(*.f64 (pow.f64 b #s(literal 5/2 binary64)) (neg.f64 (pow.f64 b #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 b #s(literal 5/2 binary64)) (pow.f64 b #s(literal 5/2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) |
(*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (neg.f64 b)) |
(*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) |
(*.f64 (*.f64 (neg.f64 b) b) (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 (neg.f64 b) b)) |
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) |
(*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b)) |
(*.f64 b (*.f64 (*.f64 (*.f64 b b) b) b)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 b)) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) c) a)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) c) a))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) |
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 (*.f64 b b) b) b)) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -27 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b)) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) c) a)))) (fma.f64 (*.f64 #s(literal -27 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -27 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))) |
(/.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (fma.f64 (*.f64 (*.f64 b b) b) b (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) b) b)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) c) a))))) |
(fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b (*.f64 (*.f64 #s(literal -3 binary64) c) a)) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) b) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) c) (*.f64 b b)) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 c) (*.f64 b b)) |
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 a c)) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(fma.f64 (neg.f64 c) (*.f64 #s(literal 3 binary64) a) (*.f64 b b)) |
(fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) |
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a)) |
(sqrt.f64 (*.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 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))) (/.f64 (*.f64 (*.f64 #s(literal -27 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(exp.f64 (*.f64 (log.f64 (*.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)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) |
(*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 c c) c)) c) |
(*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 c c)) (*.f64 c c)) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 b b) b) b)) (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 b b) b))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) b))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 b b)) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 405/64 binary64) b)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) #s(literal 405/64 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)))) |
(*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) c) (*.f64 (*.f64 c c) c)) |
(*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)))) |
(*.f64 (*.f64 (*.f64 c c) c) (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) c)) |
(*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))))) |
(*.f64 (*.f64 c c) (*.f64 c (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) c))) |
(*.f64 #s(literal 405/64 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c))) |
(*.f64 c (*.f64 (*.f64 (*.f64 c c) c) (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))))) |
(*.f64 c (*.f64 (*.f64 c c) (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) c))) |
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) #s(literal 405/64 binary64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 b b) b) b)) (*.f64 (*.f64 b b) b)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) #s(literal 405/64 binary64)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 b b) b) b)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) #s(literal 405/64 binary64)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) b) |
(/.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 (*.f64 b b) b) b)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)) #s(literal 64/405 binary64))) |
(/.f64 (*.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 b b) b) b)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)) #s(literal 64/405 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) #s(literal -405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) #s(literal 405/64 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)) #s(literal 64/405 binary64))) |
(*.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 #s(literal -3/8 binary64) c) b)) |
(*.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 b b) b)) (*.f64 c c)) |
(*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c (/.f64 c b))) |
(*.f64 (*.f64 (*.f64 c c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) #s(literal -3/8 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 b b) b)) (*.f64 c c))) |
(*.f64 (*.f64 c (/.f64 c b)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) |
(*.f64 (*.f64 c (/.f64 c (*.f64 b b))) (/.f64 #s(literal -3/8 binary64) b)) |
(*.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 c (/.f64 c (*.f64 b b)))) |
(*.f64 (*.f64 (*.f64 c c) #s(literal 3/8 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b))) |
(*.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b))) |
(*.f64 (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) c) (*.f64 b b))) |
(*.f64 (*.f64 c c) (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 b b) b))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b)))) |
(*.f64 c (/.f64 (*.f64 #s(literal -3/8 binary64) c) (*.f64 (*.f64 b b) b))) |
(*.f64 c (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b)))) |
(*.f64 c (*.f64 c (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 b b) b)))) |
(pow.f64 (/.f64 b (*.f64 (*.f64 c c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 (*.f64 c c) #s(literal -3/8 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 (*.f64 c c) #s(literal -3/8 binary64)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (*.f64 b b)) |
(/.f64 (*.f64 (*.f64 c c) (/.f64 #s(literal -3/8 binary64) b)) (*.f64 b b)) |
(/.f64 (*.f64 (*.f64 c (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) b) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)))) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) #s(literal 3/8 binary64))) (*.f64 (*.f64 b b) b)) |
(/.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) b)) |
(/.f64 (*.f64 (*.f64 c c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) b) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 (*.f64 c c) #s(literal -3/8 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 (*.f64 c c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 (*.f64 c c) #s(literal -3/8 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (/.f64 b (*.f64 (*.f64 c c) #s(literal -3/8 binary64))))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal 3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(neg.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 b b) b)) (*.f64 c c))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 (*.f64 c c) #s(literal -3/8 binary64))))) #s(literal -1 binary64))) |
Compiled 93 103 to 5 311 computations (94.3% saved)
29 alts after pruning (25 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 731 | 16 | 1 747 |
| Fresh | 60 | 9 | 69 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 795 | 29 | 1 824 |
| Status | Accuracy | Program |
|---|---|---|
| 55.7% | (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 #s(literal 1/3 binary64) a))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 99.2% | (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 99.1% | (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 99.0% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| ▶ | 53.7% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
| 53.8% | (/.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)) | |
| ✓ | 53.7% | (/.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)) |
| 99.1% | (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (fma.f64 (*.f64 #s(literal -3 binary64) a) c #s(literal 0 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 99.0% | (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (+ (* (* -3 c) a) (* b b)) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 53.7% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| ▶ | 99.1% | (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) |
| 99.2% | (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| ▶ | 99.0% | (/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)) |
| 65.8% | (/.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)) | |
| 65.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 99.5% | (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
| 88.1% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))) | |
| 82.6% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))) | |
| 91.0% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (neg c) (+ (* (* a (/ (* (/ (* a a) (* (* b b) b)) -3/8) (* b b))) -3/4) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (* (* a a) a)) (pow b 5))))) (/ (* 3/8 (* a a)) (* (* b b) b))) (/.f64 (fma.f64 (*.f64 a a) #s(literal 3/8 binary64) (/.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) a)) (neg.f64 c)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c))) | |
| 65.8% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) | |
| 99.0% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 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))) | |
| ✓ | 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 82.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b)))))) | |
| 82.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| ▶ | 65.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| 82.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ✓ | 65.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ✓ | 65.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| 82.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ (* a (* c c)) (* (* b b) b)) -3/8) (* (/ c b) -1/2)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))) |
Compiled 1 288 to 749 computations (41.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 64 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) | |
| cost-diff | 320 | (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| cost-diff | 512 | (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) | |
| cost-diff | 1024 | (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) | |
| cost-diff | 0 | (*.f64 #s(literal -3 binary64) c) | |
| cost-diff | 64 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) | |
| cost-diff | 512 | (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) | |
| cost-diff | 640 | (/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| 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) (*.f64 a #s(literal 3 binary64))) | |
| 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 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| cost-diff | 0 | (neg.f64 c) | |
| cost-diff | 0 | #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
| 7 842× | lower-fma.f32 |
| 7 838× | lower-fma.f64 |
| 3 550× | lower-*.f32 |
| 3 538× | lower-*.f64 |
| 1 842× | lower-+.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 384 |
| 0 | 64 | 375 |
| 1 | 133 | 343 |
| 2 | 326 | 320 |
| 3 | 1335 | 320 |
| 4 | 5391 | 320 |
| 0 | 8067 | 320 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
#s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) |
(neg.f64 c) |
c |
(+.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) |
a |
(*.f64 b b) |
b |
#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 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 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 |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)) |
(*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) |
#s(literal 1/3 binary64) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
#s(literal 0 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 b b) |
b |
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) |
#s(literal 1/3 binary64) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
#s(literal 0 binary64) |
(/.f64 #s(literal 1 binary64) (+.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 b b) |
b |
| Outputs |
|---|
(/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) |
#s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) |
(neg.f64 c) |
c |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
a |
(*.f64 b b) |
b |
#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 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 b c) |
b |
c |
(/.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 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(*.f64 a #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)) |
(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) |
(*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) |
(*.f64 (neg.f64 c) a) |
#s(literal 1/3 binary64) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) |
(*.f64 (*.f64 c #s(literal -3 binary64)) a) |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
c |
a |
#s(literal 0 binary64) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(*.f64 b b) |
b |
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) |
(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (*.f64 (neg.f64 c) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) |
(*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) |
(*.f64 (neg.f64 c) a) |
#s(literal 1/3 binary64) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) |
(*.f64 (*.f64 c #s(literal -3 binary64)) a) |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
c |
a |
#s(literal 0 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) 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) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(*.f64 b b) |
b |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2578125 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) | |
| accuracy | 0.2734375 | (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) | |
| accuracy | 0.33984375 | (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| accuracy | 0.33984375 | (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) | |
| accuracy | 0.240566259768442 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.2578125 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) | |
| accuracy | 0.33984375 | (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) | |
| accuracy | 0.36166000976844204 | (/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)) | |
| accuracy | 0.12890625 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| accuracy | 0.240566259768442 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.32326127930532605 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| accuracy | 29.534803847882717 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 0.25390625 | (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) | |
| accuracy | 21.810439601954958 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| accuracy | 0.12890625 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| accuracy | 0.203125 | (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 0.20703125 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 0.240566259768442 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
| 57.0ms | 163× | 0 | valid |
| 48.0ms | 93× | 1 | valid |
Compiled 402 to 41 computations (89.8% saved)
ival-div: 35.0ms (45.5% of total)ival-mult: 15.0ms (19.5% of total)ival-add: 6.0ms (7.8% of total)adjust: 5.0ms (6.5% of total)ival-sqrt: 5.0ms (6.5% of total)const: 4.0ms (5.2% of total)ival-sub: 4.0ms (5.2% of total)ival-neg: 2.0ms (2.6% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (patch #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) #<representation binary64>) () ()) |
#s(alt (neg.f64 c) (patch (neg.f64 c) #<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 (/.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 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) #<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 (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 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (patch (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -3 binary64) c) (patch (*.f64 #s(literal -3 binary64) c) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (patch (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 c) (taylor 0 c) (#s(alt #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (patch #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 c) (taylor 0 c) (#s(alt #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (patch #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 c) (taylor 0 c) (#s(alt #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (patch #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 c) (taylor 0 c) (#s(alt #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (patch #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ()) |
#s(alt (* 2 b) (taylor 0 c) (#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 (+ (* -3/2 (/ (* a c) b)) (* 2 b)) (taylor 0 c) (#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 (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#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 (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (+.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 (* -1/2 (/ c b)) (taylor 0 c) (#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 (* -1/2 (/ c b)) (taylor 0 c) (#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 (* -1/2 (/ c b)) (taylor 0 c) (#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 (* -1/2 (/ c b)) (taylor 0 c) (#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 (* -1/2 (/ c b)) (taylor 0 c) (#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 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#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 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (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 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (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 (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#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 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#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 (* 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 (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 (* 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 (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>) () ())) ()) |
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#s(alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* -1 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (patch (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | c | @ | 0 | ((/ (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg c) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (/ (* 1/3 (+ (* (* -3 c) a) 0)) (* (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) a)) (* 1/3 (+ (* (* -3 c) a) 0)) (+ (* (* -3 c) a) 0) (* -3 c) (/ (* (* 1/3 (+ (* (* -3 c) a) 0)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) a) (* (* 1/3 (+ (* (* -3 c) a) 0)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) |
| 3.0ms | c | @ | inf | ((/ (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg c) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (/ (* 1/3 (+ (* (* -3 c) a) 0)) (* (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) a)) (* 1/3 (+ (* (* -3 c) a) 0)) (+ (* (* -3 c) a) 0) (* -3 c) (/ (* (* 1/3 (+ (* (* -3 c) a) 0)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) a) (* (* 1/3 (+ (* (* -3 c) a) 0)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) |
| 3.0ms | c | @ | -inf | ((/ (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg c) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (/ (* 1/3 (+ (* (* -3 c) a) 0)) (* (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) a)) (* 1/3 (+ (* (* -3 c) a) 0)) (+ (* (* -3 c) a) 0) (* -3 c) (/ (* (* 1/3 (+ (* (* -3 c) a) 0)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) a) (* (* 1/3 (+ (* (* -3 c) a) 0)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) |
| 3.0ms | b | @ | -inf | ((/ (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg c) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (/ (* 1/3 (+ (* (* -3 c) a) 0)) (* (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) a)) (* 1/3 (+ (* (* -3 c) a) 0)) (+ (* (* -3 c) a) 0) (* -3 c) (/ (* (* 1/3 (+ (* (* -3 c) a) 0)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) a) (* (* 1/3 (+ (* (* -3 c) a) 0)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) |
| 2.0ms | b | @ | 0 | ((/ (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg c) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (/ (* 1/3 (+ (* (* -3 c) a) 0)) (* (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) a)) (* 1/3 (+ (* (* -3 c) a) 0)) (+ (* (* -3 c) a) 0) (* -3 c) (/ (* (* 1/3 (+ (* (* -3 c) a) 0)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) a) (* (* 1/3 (+ (* (* -3 c) a) 0)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) |
| 1× | egg-herbie |
| 8 958× | lower-fma.f64 |
| 8 958× | lower-fma.f32 |
| 6 346× | lower-*.f64 |
| 6 346× | lower-*.f32 |
| 6 328× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1017 | 11242 |
| 1 | 3413 | 10541 |
| 0 | 8127 | 10115 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* 2 b) |
(+ (* -3/2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* -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)))) |
(* -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)))))))) |
(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))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 c) |
(* -3 c) |
(* -3 c) |
(* -3 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))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(* -1/2 (/ (* a c) b)) |
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 4) (pow b 7))) (* -27/128 (/ (pow a 4) (pow b 7))))))))))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))))) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))))) |
(* -1/2 (/ 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)) (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)))))) |
(* -3 (* a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))))) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 c) |
(* -3 c) |
(* -3 c) |
(* -3 c) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))))) |
(* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) |
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) |
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* 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)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -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))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (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)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -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)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -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 (* 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)))))))) |
(* -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)))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -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))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (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)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -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)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 c) |
(* -3 c) |
(* -3 c) |
(* -3 c) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -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))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (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)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -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)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b (pow (sqrt 3) 2))) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -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))))) (* -1 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (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)))) (* -1/2 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 4))))) (+ (* -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)) (* -1 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ b (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(* -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)) (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))))))))) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) |
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (pow (sqrt -3) 2))))) |
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (pow (sqrt -3) 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) |
(/ (+ (* -27/32 (/ (* (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))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* 2 b) |
(* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -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) |
(* -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))))))) |
(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) |
(/ (+ (* -27/32 (/ (* (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))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (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) |
(/ (+ (* -27/32 (/ (* (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))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b) |
(* -1/2 (/ (* a c) b)) |
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/32 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 4) (pow c 4)) (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (* c (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))))) (pow b 6))) (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (* (pow b 6) c)))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a)))))))))) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* 3/2 (/ (* a c) b)) |
(* -1 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* -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))))))) |
(* -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)))))))) |
(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 (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (* c (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))))) (pow b 6))) (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (* (pow b 6) c)))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a)))))))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (* c (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))))) (pow b 6))) (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (* (pow b 6) c)))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a)))))))))) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -3/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 2/3 (+ (* -3/4 (/ (* a (* c (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3/8 (* (pow a 2) (pow c 2)))))) (pow b 6))) (+ (* -3/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -1/2 (/ (* a c) (pow b 2))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (* (pow b 6) c)))) (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))))))))) |
(* -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))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* 2 b) |
(+ (* -3/2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* -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 (/ (* 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)))))))) |
(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))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a 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))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) |
(* -1/2 (/ (* a c) b)) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7))))))))))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))) |
(* 1/3 (* (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)) (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)))))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a) |
(* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) |
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) |
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -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 (* 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)))))))) |
(* -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)))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) |
(* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b (pow (sqrt 3) 2))) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* -1 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
| Outputs |
|---|
(* -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 c) (*.f64 (*.f64 b b) b)) #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 (*.f64 (*.f64 b b) b)) #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))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64)) c (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* 2 b) |
(*.f64 #s(literal 2 binary64) b) |
(+ (* -3/2 (/ (* a c) b)) (* 2 b)) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 #s(literal 2 binary64) b)) |
(* -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 (*.f64 a c) (*.f64 (*.f64 b b) b)) #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 (*.f64 (*.f64 b b) b)) #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 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 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 (*.f64 a c) (*.f64 (*.f64 b b) b)) #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 (*.f64 (*.f64 b b) b)) #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 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 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 (*.f64 a a) c) (*.f64 (*.f64 b b) b)) #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) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 (*.f64 a a) a) 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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) 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 (*.f64 a a) c) (*.f64 (*.f64 b b) b)) #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) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.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 c) (*.f64 (*.f64 b b) b)) #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 (*.f64 (*.f64 b b) b)) #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))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64)) c (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* -1 (* a c)) |
(*.f64 (neg.f64 c) a) |
(* -1 (* a c)) |
(*.f64 (neg.f64 c) a) |
(* -1 (* a c)) |
(*.f64 (neg.f64 c) a) |
(* -1 (* a c)) |
(*.f64 (neg.f64 c) a) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 c) |
(*.f64 #s(literal -3 binary64) c) |
(* -3 c) |
(*.f64 #s(literal -3 binary64) c) |
(* -3 c) |
(*.f64 #s(literal -3 binary64) c) |
(* -3 c) |
(*.f64 #s(literal -3 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 (*.f64 a c) (*.f64 (*.f64 b b) b)) #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 (*.f64 (*.f64 b b) b)) #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))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64)) c (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* -1/2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) |
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 4) (pow b 7))) (* -27/128 (/ (pow a 4) (pow b 7))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64)) c (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (sqrt.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a))))) (neg.f64 (*.f64 c c))) (-.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))))) |
(-.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (*.f64 b (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (sqrt.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a))))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (/.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (*.f64 c c) c))) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))) |
(* -1 c) |
(neg.f64 c) |
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(/ b c) |
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(/ b c) |
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(/ b c) |
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(/ b c) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
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(-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) b)) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 a))) (neg.f64 a))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 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))))) |
(-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) b)) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 a))) (neg.f64 a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(*.f64 (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) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 b)) (neg.f64 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 -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 a)) b) (neg.f64 a)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) |
(* -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))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) |
(* -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)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -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)))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (*.f64 a c)) (/.f64 b #s(literal 3 binary64))) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 a c)) (/.f64 (fma.f64 a (/.f64 b #s(literal -3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) a)) a))) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 a c)) (/.f64 (fma.f64 a (/.f64 b #s(literal -3 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)) c)) #s(literal -1/2 binary64))) (neg.f64 a))) (neg.f64 a))) a))) (neg.f64 a)) |
(* -1 (* a c)) |
(*.f64 (neg.f64 c) a) |
(* -1 (* a c)) |
(*.f64 (neg.f64 c) a) |
(* -1 (* a c)) |
(*.f64 (neg.f64 c) a) |
(* -1 (* a c)) |
(*.f64 (neg.f64 c) a) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (*.f64 a c)) (/.f64 b #s(literal 3 binary64))) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 a c)) (/.f64 (fma.f64 a (/.f64 b #s(literal -3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) a)) a))) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 a c)) (/.f64 (fma.f64 a (/.f64 b #s(literal -3 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)) c)) #s(literal -1/2 binary64))) (neg.f64 a))) (neg.f64 a))) a))) (neg.f64 a)) |
(* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 a c))) |
(+ (* -1 (/ b (pow (sqrt 3) 2))) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 a c)) (/.f64 b #s(literal -3 binary64))) |
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 a c)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c))) #s(literal -1/2 binary64) (*.f64 a (/.f64 b #s(literal 3 binary64)))) (neg.f64 a))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* -1 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 a c)) (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) a) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)) c)) (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))))) (neg.f64 a)) (*.f64 a (/.f64 b #s(literal -3 binary64)))) (neg.f64 a))) |
| 5 260× | lower-fma.f32 |
| 5 256× | lower-fma.f64 |
| 5 060× | lower-/.f32 |
| 5 046× | lower-/.f64 |
| 3 656× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 222 |
| 0 | 64 | 201 |
| 1 | 267 | 173 |
| 2 | 2138 | 173 |
| 0 | 8940 | 173 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
#s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) |
(neg.f64 c) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(/.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 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 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 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)) |
(*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) |
(*.f64 #s(literal -3 binary64) c) |
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (*.f64 b b) b))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(*.f64 (*.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) |
(*.f64 (neg.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) |
(*.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) |
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) #s(literal 1 binary64))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))) |
(/.f64 (*.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) #s(literal -1 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) |
(/.f64 (*.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(/.f64 (neg.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (*.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)))) |
(/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) |
(neg.f64 (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)))) #s(literal -1 binary64))) |
#s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) |
(*.f64 #s(literal -1 binary64) c) |
(*.f64 c #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 c) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 c) (neg.f64 c)) (*.f64 #s(literal 0 binary64) (neg.f64 c))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c))) (neg.f64 (+.f64 #s(literal 0 binary64) c))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c c) c))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 c c (*.f64 #s(literal 0 binary64) c))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c c) c)) (+.f64 #s(literal 0 binary64) (fma.f64 c c (*.f64 #s(literal 0 binary64) c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 c c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 c c (*.f64 #s(literal 0 binary64) c))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c c) c)))) |
(neg.f64 c) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) c)) (/.f64 (*.f64 c c) (+.f64 #s(literal 0 binary64) c))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 c c (*.f64 #s(literal 0 binary64) c)))) (/.f64 (*.f64 (*.f64 c c) c) (+.f64 #s(literal 0 binary64) (fma.f64 c c (*.f64 #s(literal 0 binary64) c))))) |
(-.f64 #s(literal 0 binary64) c) |
(+.f64 #s(literal 0 binary64) (neg.f64 c)) |
(*.f64 (/.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (*.f64 b b) b))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(*.f64 (/.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) |
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
(*.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal -1 binary64)) |
(pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (fma.f64 (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (*.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (*.f64 b b) b)))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a))) (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 9 binary64) (*.f64 (*.f64 (neg.f64 b) b) (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 9 binary64) (*.f64 (*.f64 (neg.f64 b) b) (*.f64 b b)))) (+.f64 #s(literal 0 binary64) b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b))) (*.f64 (neg.f64 b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b))) (+.f64 #s(literal 0 binary64) b))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -3 binary64)) a))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -3 binary64)) a))))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (+.f64 #s(literal 0 binary64) b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -3 binary64)) a))))) (*.f64 (neg.f64 b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -3 binary64)) a))))) (+.f64 #s(literal 0 binary64) b))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (+.f64 #s(literal 0 binary64) b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (neg.f64 b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (+.f64 #s(literal 0 binary64) b))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) a) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) a) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (+.f64 #s(literal 0 binary64) b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) a) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (*.f64 (neg.f64 b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) a) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (+.f64 #s(literal 0 binary64) b))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (*.f64 b b) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 c a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 3 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 c a)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 c a)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 c a)) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (*.f64 b b) b))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 c a)) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (*.f64 b b) b))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 1/3 binary64)) (*.f64 (*.f64 c #s(literal -3 binary64)) a) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 1/3 binary64)) (*.f64 (*.f64 c #s(literal -3 binary64)) a) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) (/.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(fma.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) (/.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (*.f64 #s(literal -1 binary64) (*.f64 c a)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (*.f64 #s(literal -1 binary64) (*.f64 c a)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 c a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 c a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 0 binary64))) |
(fma.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(fma.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(fma.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 0 binary64))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) (/.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 #s(literal 3 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 #s(literal 3 binary64) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))) (/.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 3 binary64) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))))) |
(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) #s(literal 3 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) #s(literal 3 binary64))) |
(-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 3 binary64)) (/.f64 (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 3 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) (*.f64 #s(literal -1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal -3 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64))) |
(+.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(+.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 0 binary64))) |
Compiled 104 367 to 5 903 computations (94.3% saved)
32 alts after pruning (28 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 760 | 25 | 2 785 |
| Fresh | 17 | 3 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 2 | 2 | 4 |
| Total | 2 782 | 32 | 2 814 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 53.7% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
| 99.1% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) (*.f64 a #s(literal 3 binary64))) | |
| 99.2% | (/.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) | |
| 99.0% | (/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (*.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c))) b) a)) | |
| 65.8% | (/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (*.f64 #s(approx (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal 2 binary64) b)) a)) | |
| 98.9% | (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)) | |
| 65.8% | (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 a #s(literal 3 binary64))) | |
| 65.8% | (/.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)) | |
| 99.5% | (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) | |
| 99.5% | (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b)) | |
| 99.5% | (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal 3 binary64)) a))) b)) | |
| 99.5% | (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) b)) | |
| 99.5% | (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c))) b)) | |
| 82.7% | (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b)) | |
| 82.7% | (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) #s(approx (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (*.f64 #s(literal 2 binary64) b)))) | |
| 82.7% | (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) #s(approx (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 2 binary64)) b))) | |
| 65.9% | (/.f64 #s(approx (* (* 1/3 (+ (* (* -3 c) a) 0)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) | |
| 99.2% | (/.f64 #s(approx (* 1/3 (+ (* (* -3 c) a) 0)) (*.f64 (neg.f64 c) a)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)) | |
| 99.3% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)))) | |
| 82.6% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))) | |
| 65.8% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) | |
| 53.7% | (*.f64 (/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) | |
| 99.4% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c))) | |
| 99.2% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a)) (*.f64 #s(literal -1 binary64) (*.f64 c a))) | |
| 99.1% | (*.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) (/.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a))) | |
| 82.1% | #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 c #s(literal -1/2 binary64))) b)) | |
| 65.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) | |
| ✓ | 65.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| 65.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) | |
| 65.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) | |
| ✓ | 65.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ✓ | 65.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
Compiled 5 205 to 1 081 computations (79.2% 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))) |
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(/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.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 a #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))))) (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 (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 a #s(literal 3 binary64))) (/.f64 (-.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 (fma.f64 b b (*.f64 b (-.f64 b (exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64))))))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (*.f64 a #s(literal 3 binary64))) (/.f64 (-.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 (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
#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) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #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 (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)) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #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 (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 c (/.f64 #s(literal -1/2 binary64) 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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) 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 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))) |
(/.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 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) c) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 c c))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #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 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (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) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.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 (*.f64 (*.f64 c c) c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) a)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))))) 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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.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 a a) a) (*.f64 c c)) #s(literal 9/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 a (*.f64 c c))) #s(literal -2/9 binary64)))) (neg.f64 (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/4 binary64) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal 3/8 binary64) (/.f64 #s(literal 2/3 binary64) c))))) b))) |
| Outputs |
|---|
(/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b)) |
5 calls:
| 61.0ms | (*.f64 #s(literal 3 binary64) a) |
| 55.0ms | a |
| 54.0ms | b |
| 51.0ms | (/.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)) |
| 44.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | a |
| 99.5% | 1 | b |
| 99.5% | 1 | c |
| 99.5% | 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)) |
| 99.5% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% 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))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) |
(/.f64 #s(approx (* (* 1/3 (+ (* (* -3 c) a) 0)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 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)) |
(/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (*.f64 #s(approx (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal 2 binary64) b)) a)) |
(/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b)) |
(/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) #s(approx (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (*.f64 #s(literal 2 binary64) b)))) |
| Outputs |
|---|
(/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) #s(approx (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (*.f64 #s(literal 2 binary64) b)))) |
5 calls:
| 5.0ms | (/.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)) |
| 5.0ms | (*.f64 #s(literal 3 binary64) a) |
| 5.0ms | c |
| 5.0ms | a |
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 1 | a |
| 82.7% | 1 | b |
| 82.7% | 1 | c |
| 82.7% | 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)) |
| 82.7% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% 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))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) |
(/.f64 #s(approx (* (* 1/3 (+ (* (* -3 c) a) 0)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 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)) |
(/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (*.f64 #s(approx (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal 2 binary64) b)) a)) |
(/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b)) |
| Outputs |
|---|
(/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b)) |
5 calls:
| 5.0ms | (/.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)) |
| 5.0ms | a |
| 5.0ms | (*.f64 #s(literal 3 binary64) a) |
| 4.0ms | b |
| 4.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 1 | b |
| 82.7% | 1 | c |
| 82.7% | 1 | a |
| 82.7% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 82.7% | 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 38 to 26 computations (31.6% 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))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) |
(/.f64 #s(approx (* (* 1/3 (+ (* (* -3 c) a) 0)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 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)) |
(/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (*.f64 #s(approx (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal 2 binary64) b)) 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:
| 8.0ms | c |
| 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)) |
| 4.0ms | (*.f64 #s(literal 3 binary64) a) |
| 4.0ms | b |
| 4.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.9% | 1 | a |
| 65.9% | 1 | b |
| 65.9% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 65.9% | 1 | c |
| 65.9% | 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)) |
Compiled 38 to 26 computations (31.6% 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:
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 1.0ms | (*.f64 #s(literal 3 binary64) a) |
| 1.0ms | c |
| 1.0ms | a |
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.9% | 1 | b |
| 65.9% | 1 | a |
| 65.9% | 1 | c |
| 65.9% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 65.9% | 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)) |
Compiled 38 to 26 computations (31.6% saved)
| 1× | egg-herbie |
| 14× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 164 |
| 1 | 60 | 164 |
| 2 | 62 | 164 |
| 3 | 63 | 164 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b)) |
(/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) #s(approx (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (*.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) 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 |
|---|
(/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b)) |
(/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) #s(approx (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (*.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) #s(approx (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -3/2 binary64) (*.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b)) |
(/.f64 #s(approx (* (/ 1/3 a) (- (+ (* (* -3 c) a) (* b b)) (* b b))) (neg.f64 c)) (+.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -3/2 binary64) b)) 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 c b))) |
#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)) |
| 11 360× | lower-fma.f64 |
| 11 360× | lower-fma.f32 |
| 8 958× | lower-fma.f64 |
| 8 958× | lower-fma.f32 |
| 8 452× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1017 | 11242 |
| 1 | 3413 | 10541 |
| 0 | 8127 | 10115 |
| 0 | 12 | 46 |
| 0 | 20 | 46 |
| 1 | 71 | 44 |
| 2 | 525 | 43 |
| 3 | 6836 | 43 |
| 0 | 8125 | 40 |
| 0 | 68 | 496 |
| 0 | 114 | 475 |
| 1 | 443 | 453 |
| 2 | 3740 | 453 |
| 0 | 10328 | 453 |
| 0 | 1068 | 12524 |
| 1 | 3491 | 11874 |
| 0 | 8257 | 11458 |
| 0 | 44 | 222 |
| 0 | 64 | 201 |
| 1 | 267 | 173 |
| 2 | 2138 | 173 |
| 0 | 8940 | 173 |
| 0 | 470 | 2458 |
| 1 | 1445 | 2441 |
| 2 | 4890 | 2418 |
| 0 | 8056 | 2302 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 431 to 209 computations (51.5% saved)
Compiled 160 to 74 computations (53.8% saved)
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