
Time bar (total: 5.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 654.0ms | 8 256× | 0 | valid |
ival-mult: 192.0ms (66.3% of total)ival-sub: 79.0ms (27.3% of total)ival-true: 6.0ms (2.1% of total)exact: 6.0ms (2.1% of total)adjust: 3.0ms (1% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) y) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 23.0ms | 512× | 0 | valid |
Compiled 43 to 22 computations (48.8% saved)
ival-mult: 6.0ms (58.3% of total)ival-sub: 3.0ms (29.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 48 |
| 1 | 47 | 46 |
| 2 | 135 | 46 |
| 3 | 297 | 43 |
| 4 | 530 | 42 |
| 5 | 1505 | 42 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 15 | 7 |
| 2 | 25 | 7 |
| 3 | 37 | 7 |
| 4 | 88 | 7 |
| 5 | 446 | 7 |
| 6 | 4400 | 7 |
| 0 | 8274 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(negabs x)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 7 to 6 computations (14.3% saved)
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 15 | 16 |
| 2 | 25 | 16 |
| 3 | 37 | 16 |
| 4 | 88 | 16 |
| 5 | 446 | 16 |
| 6 | 4400 | 16 |
| 0 | 8274 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.09212875976844201 | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 11.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-mult: 3.0ms (60.8% of total)ival-sub: 1.0ms (20.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x y) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* x y))) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (- 1 y) #s(hole binary64 1)) |
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((* (* x y) (- 1 y)) (* x y) (- 1 y)) |
| 1.0ms | x | @ | 0 | ((* (* x y) (- 1 y)) (* x y) (- 1 y)) |
| 1.0ms | x | @ | -inf | ((* (* x y) (- 1 y)) (* x y) (- 1 y)) |
| 1.0ms | y | @ | -inf | ((* (* x y) (- 1 y)) (* x y) (- 1 y)) |
| 1.0ms | x | @ | inf | ((* (* x y) (- 1 y)) (* x y) (- 1 y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 112 |
| 1 | 85 | 109 |
| 2 | 184 | 109 |
| 3 | 566 | 109 |
| 4 | 2761 | 109 |
| 5 | 7790 | 109 |
| 0 | 8006 | 109 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* x y))) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (- 1 y) #s(hole binary64 1)) |
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
| Outputs |
|---|
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (* x y) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* x y))) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (- 1 y) #s(hole binary64 1)) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (- 1 y) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (- 1 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (- 1 y) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (- 1 y) (-.f64 #s(literal 1 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 99 | 13 |
| 2 | 1255 | 13 |
| 0 | 8223 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x y) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (cbrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y x))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #s(literal 2 binary64)) (*.f64 y x)) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (*.f64 (*.f64 y x) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 (*.f64 y x) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 y x))) |
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) (sqrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 y x))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y x)) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) y)) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)))) (sqrt.f64 (log.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)))) |
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))) |
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) (pow.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64))) (cbrt.f64 #s(literal 3 binary64))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) #s(literal 3 binary64)) |
(pow.f64 (E.f64) (log.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))) |
(pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y x)) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y x)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))) #s(literal 3 binary64))) |
(exp.f64 (log.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 x (-.f64 #s(literal 1 binary64) y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))) (sinh.f64 (log.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)))) |
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 y x))))) |
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 (*.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))))) |
(log.f64 (pow.f64 (exp.f64 y) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 y x) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))))) |
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 y x) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))) |
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 y x)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 y x) (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y x)))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) y) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 y)) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 y x))) |
(*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 y x))) (neg.f64 (sqrt.f64 (*.f64 y x)))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x)) |
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x))) |
(*.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y x)))) (sqrt.f64 (log.f64 (*.f64 y x)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y x)))) |
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))) |
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64))) (cbrt.f64 #s(literal 3 binary64))) |
(pow.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64)) |
(pow.f64 (E.f64) (log.f64 (*.f64 y x))) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64))) |
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64))) |
(exp.f64 (log.f64 (*.f64 y x))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 y x))) (sinh.f64 (log.f64 (*.f64 y x)))) |
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))) |
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) |
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)))) |
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) |
(log.f64 (pow.f64 (exp.f64 x) y)) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (cbrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))) |
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) (pow.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64))) (cbrt.f64 #s(literal 3 binary64))) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) |
(pow.f64 (E.f64) (log.f64 (-.f64 #s(literal 1 binary64) y))) |
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 (sqrt.f64 y)) (asin.f64 (sqrt.f64 y)))) (sin.f64 (+.f64 (acos.f64 (sqrt.f64 y)) (asin.f64 (sqrt.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 (sqrt.f64 y)) (acos.f64 (sqrt.f64 y)))) (cos.f64 (+.f64 (acos.f64 (sqrt.f64 y)) (acos.f64 (sqrt.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (asin.f64 (sqrt.f64 y)) (asin.f64 (sqrt.f64 y)))) (cos.f64 (-.f64 (asin.f64 (sqrt.f64 y)) (asin.f64 (sqrt.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) |
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) |
(-.f64 (exp.f64 (neg.f64 (log1p.f64 y))) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))) |
(-.f64 (exp.f64 (neg.f64 (log1p.f64 (fma.f64 y y y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 y)))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (asin.f64 (sqrt.f64 y))) (sin.f64 (asin.f64 (sqrt.f64 y))))) |
(-.f64 #s(literal 1 binary64) y) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) |
(exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 (E.f64) (exp.f64 y)))) (log.f64 (sqrt.f64 (/.f64 (E.f64) (exp.f64 y))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (E.f64) (exp.f64 y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (/.f64 (E.f64) (exp.f64 y))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 y)))))) |
(+.f64 (cosh.f64 (log.f64 (-.f64 #s(literal 1 binary64) y))) (sinh.f64 (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))) |
(log.f64 (/.f64 (E.f64) (exp.f64 y))) |
Compiled 2 382 to 545 computations (77.1% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 160 | 12 | 172 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 160 | 13 | 173 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.4% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y x)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
| 98.6% | (*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) y)) | |
| 62.2% | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) | |
| 93.0% | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) | |
| ▶ | 99.4% | (*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) y)) |
| 99.4% | (*.f64 (*.f64 (*.f64 y x) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) y))) | |
| 72.1% | (*.f64 (*.f64 x y) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64)))) | |
| 99.4% | (*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) | |
| ▶ | 92.9% | (*.f64 (*.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y))) |
| ✓ | 99.9% | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ▶ | 62.8% | (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| 55.9% | #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) | |
| ▶ | 57.8% | #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
Compiled 295 to 220 computations (25.4% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y x)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) | |
| cost-diff | 2 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 2 | (*.f64 (*.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 y (sqrt.f64 x)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 4 | (*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 158 |
| 0 | 49 | 174 |
| 1 | 95 | 150 |
| 2 | 219 | 150 |
| 3 | 657 | 148 |
| 4 | 2996 | 144 |
| 0 | 8988 | 144 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
x |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
(*.f64 x y) |
x |
y |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (*.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 x y) |
x |
y |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
(+.f64 #s(literal 1 binary64) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y x)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y x)) |
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(*.f64 y x) |
x |
(+.f64 (fma.f64 y y y) #s(literal 1 binary64)) |
(fma.f64 y y y) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 x y) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
y |
(sqrt.f64 x) |
x |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (*.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (-.f64 y (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 x y) |
x |
y |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(fma.f64 (neg.f64 y) y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 y y) |
(+.f64 #s(literal 1 binary64) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y x)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 y (pow.f64 y #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y x)) |
(*.f64 (-.f64 y (pow.f64 y #s(literal 4 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(*.f64 y x) |
(*.f64 x y) |
x |
(+.f64 (fma.f64 y y y) #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) |
(fma.f64 y y y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.9844429466827285 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y x)) | |
| accuracy | 18.643602159642327 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y x)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.09212875976844201 | (*.f64 (*.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y))) | |
| accuracy | 14.70635121248243 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.09212875976844201 | (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) | |
| accuracy | 32.80287977799724 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 27.020076359271215 | #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.09212875976844201 | (*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.234375 | (*.f64 y (sqrt.f64 x)) | |
| accuracy | 0.2421875 | (*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) |
| 98.0ms | 256× | 0 | valid |
Compiled 153 to 26 computations (83% saved)
ival-mult: 40.0ms (56.6% of total)ival-pow: 17.0ms (24.1% of total)ival-div: 3.0ms (4.2% of total)ival-add: 3.0ms (4.2% of total)ival-sub: 3.0ms (4.2% of total)ival-sqrt: 2.0ms (2.8% of total)ival-neg: 1.0ms (1.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
(*.f64 x y) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (*.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y x)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
(*.f64 y y) |
(+.f64 (fma.f64 y y y) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (* (* y (sqrt x)) (sqrt x)) #s(hole binary64 (* x y))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* y (sqrt x)) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (/ (* x (* y (- 1 (pow y 2)))) (+ 1 y)))) |
#s(approx (* (- 1 (pow y 3)) (* y x)) #s(hole binary64 (* x (* y (- 1 (pow y 3)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (/ (* x (* y (- 1 (pow y 3)))) (+ 1 (+ y (pow y 2)))))) |
#s(approx (* (* y (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (* x (* y (pow (sqrt -1) 2)))))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) #s(hole binary64 (* -1 (* x (* y (* (pow (sqrt -1) 2) (- 1 y))))))) |
#s(approx (* y (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) #s(hole binary64 (* x y))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* x y))) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (- 1 y) #s(hole binary64 1)) |
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* x y))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 1)) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (- 1 (* y y)) #s(hole binary64 1)) |
#s(approx (- 1 (* y y)) #s(hole binary64 (+ 1 (* -1 (pow y 2))))) |
#s(approx (* (- 1 (pow y 3)) (* y x)) #s(hole binary64 (* x y))) |
#s(approx (* (- 1 (pow y 3)) (* y x)) #s(hole binary64 (* y (+ x (* -1 (* x (pow y 3))))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* x y))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* y (+ x (* -1 x))) (+ x (* -1 x)))) x)))))) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 1)) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (+ 1 (* -1 (pow y 3))))) |
#s(approx (pow y 3) #s(hole binary64 (pow y 3))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 1)) |
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (+ 1 y))) |
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (+ 1 (* y (+ 1 y))))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (* -1 y))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (- 1 (* y y)) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (- 1 (* y y)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1)))) |
#s(approx (* (- 1 (pow y 3)) (* y x)) #s(hole binary64 (* -1 (* x (pow y 4))))) |
#s(approx (* (- 1 (pow y 3)) (* y x)) #s(hole binary64 (* (pow y 4) (+ (* -1 x) (/ x (pow y 3)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (* -1 (/ x y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))))) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* -1 (pow y 3)))) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* (pow y 3) (- (/ 1 (pow y 3)) 1)))) |
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (pow y 2))) |
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 y))))) |
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) y))) y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ x (+ (* -1 x) (/ x y))) (+ (* -1 (/ x y)) (* 2 (/ x y)))) y))) y)))))) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* -1 (* (pow y 3) (- 1 (/ 1 (pow y 3))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | x | @ | -inf | ((* (* y (sqrt x)) (sqrt x)) (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) (* y (sqrt x)) (sqrt x) (* (* x y) (- 1 y)) (* y x) (* (* x y) (- 1 y)) (* x y) (- 1 y) (neg y) (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (/ (- 1 (* y y)) (+ 1 y)) (- 1 (* y y)) (* (- 1 (pow y 3)) (* y x)) (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (- 1 (pow y 3)) (pow y 3) (* y y) (+ (+ (* y y) y) 1)) |
| 10.0ms | y | @ | -inf | ((* (* y (sqrt x)) (sqrt x)) (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) (* y (sqrt x)) (sqrt x) (* (* x y) (- 1 y)) (* y x) (* (* x y) (- 1 y)) (* x y) (- 1 y) (neg y) (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (/ (- 1 (* y y)) (+ 1 y)) (- 1 (* y y)) (* (- 1 (pow y 3)) (* y x)) (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (- 1 (pow y 3)) (pow y 3) (* y y) (+ (+ (* y y) y) 1)) |
| 6.0ms | y | @ | inf | ((* (* y (sqrt x)) (sqrt x)) (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) (* y (sqrt x)) (sqrt x) (* (* x y) (- 1 y)) (* y x) (* (* x y) (- 1 y)) (* x y) (- 1 y) (neg y) (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (/ (- 1 (* y y)) (+ 1 y)) (- 1 (* y y)) (* (- 1 (pow y 3)) (* y x)) (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (- 1 (pow y 3)) (pow y 3) (* y y) (+ (+ (* y y) y) 1)) |
| 5.0ms | x | @ | 0 | ((* (* y (sqrt x)) (sqrt x)) (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) (* y (sqrt x)) (sqrt x) (* (* x y) (- 1 y)) (* y x) (* (* x y) (- 1 y)) (* x y) (- 1 y) (neg y) (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (/ (- 1 (* y y)) (+ 1 y)) (- 1 (* y y)) (* (- 1 (pow y 3)) (* y x)) (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (- 1 (pow y 3)) (pow y 3) (* y y) (+ (+ (* y y) y) 1)) |
| 3.0ms | x | @ | inf | ((* (* y (sqrt x)) (sqrt x)) (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) (* y (sqrt x)) (sqrt x) (* (* x y) (- 1 y)) (* y x) (* (* x y) (- 1 y)) (* x y) (- 1 y) (neg y) (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (/ (- 1 (* y y)) (+ 1 y)) (- 1 (* y y)) (* (- 1 (pow y 3)) (* y x)) (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (- 1 (pow y 3)) (pow y 3) (* y y) (+ (+ (* y y) y) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 214 | 1077 |
| 1 | 562 | 996 |
| 2 | 1950 | 986 |
| 0 | 8182 | 965 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (* (* y (sqrt x)) (sqrt x)) #s(hole binary64 (* x y))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* y (sqrt x)) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (/ (* x (* y (- 1 (pow y 2)))) (+ 1 y)))) |
#s(approx (* (- 1 (pow y 3)) (* y x)) #s(hole binary64 (* x (* y (- 1 (pow y 3)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (/ (* x (* y (- 1 (pow y 3)))) (+ 1 (+ y (pow y 2)))))) |
#s(approx (* (* y (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (* x (* y (pow (sqrt -1) 2)))))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) #s(hole binary64 (* -1 (* x (* y (* (pow (sqrt -1) 2) (- 1 y))))))) |
#s(approx (* y (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) #s(hole binary64 (* x y))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* x y))) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (- 1 y) #s(hole binary64 1)) |
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* x y))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 1)) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (- 1 (* y y)) #s(hole binary64 1)) |
#s(approx (- 1 (* y y)) #s(hole binary64 (+ 1 (* -1 (pow y 2))))) |
#s(approx (* (- 1 (pow y 3)) (* y x)) #s(hole binary64 (* x y))) |
#s(approx (* (- 1 (pow y 3)) (* y x)) #s(hole binary64 (* y (+ x (* -1 (* x (pow y 3))))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* x y))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* y (+ x (* -1 x))) (+ x (* -1 x)))) x)))))) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 1)) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (+ 1 (* -1 (pow y 3))))) |
#s(approx (pow y 3) #s(hole binary64 (pow y 3))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 1)) |
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (+ 1 y))) |
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (+ 1 (* y (+ 1 y))))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (* -1 y))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (- 1 (* y y)) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (- 1 (* y y)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1)))) |
#s(approx (* (- 1 (pow y 3)) (* y x)) #s(hole binary64 (* -1 (* x (pow y 4))))) |
#s(approx (* (- 1 (pow y 3)) (* y x)) #s(hole binary64 (* (pow y 4) (+ (* -1 x) (/ x (pow y 3)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (* -1 (/ x y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))))) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* -1 (pow y 3)))) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* (pow y 3) (- (/ 1 (pow y 3)) 1)))) |
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (pow y 2))) |
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 y))))) |
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) y))) y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ x (+ (* -1 x) (/ x y))) (+ (* -1 (/ x y)) (* 2 (/ x y)))) y))) y)))))) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* -1 (* (pow y 3) (- 1 (/ 1 (pow y 3))))))) |
| Outputs |
|---|
#s(approx (* (* y (sqrt x)) (sqrt x)) #s(hole binary64 (* x y))) |
#s(approx (* y x) (*.f64 x y)) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (* y (sqrt x)) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt x) (sqrt.f64 x)) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (* y x) (*.f64 x y)) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (* y x) (*.f64 x y)) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (/ (* x (* y (- 1 (pow y 2)))) (+ 1 y)))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (-.f64 y (pow.f64 y #s(literal 3 binary64))))) |
#s(approx (* (- 1 (pow y 3)) (* y x)) #s(hole binary64 (* x (* y (- 1 (pow y 3)))))) |
#s(approx (* (- 1 (pow y 3)) (* y x)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y (pow.f64 y #s(literal 4 binary64))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (/ (* x (* y (- 1 (pow y 3)))) (+ 1 (+ y (pow y 2)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (/.f64 x (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y))) |
#s(approx (* (* y (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (* x (* y (pow (sqrt -1) 2)))))) |
#s(approx (* y x) (*.f64 x y)) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) #s(hole binary64 (* -1 (* x (* y (* (pow (sqrt -1) 2) (- 1 y))))))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (* y (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))))) |
#s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt x) (sqrt.f64 x)) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) #s(hole binary64 (* x y))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) (*.f64 x y)) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* x y))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) (*.f64 x y)) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (- 1 y) #s(hole binary64 1)) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (- 1 y) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (neg y) (neg.f64 y)) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* x y))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (*.f64 x y)) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 1)) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (- 1 (* y y)) #s(hole binary64 1)) |
#s(approx (- 1 (* y y)) #s(literal 1 binary64)) |
#s(approx (- 1 (* y y)) #s(hole binary64 (+ 1 (* -1 (pow y 2))))) |
#s(approx (- 1 (* y y)) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) |
#s(approx (* (- 1 (pow y 3)) (* y x)) #s(hole binary64 (* x y))) |
#s(approx (* (- 1 (pow y 3)) (* y x)) (*.f64 x y)) |
#s(approx (* (- 1 (pow y 3)) (* y x)) #s(hole binary64 (* y (+ x (* -1 (* x (pow y 3))))))) |
#s(approx (* (- 1 (pow y 3)) (* y x)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y (pow.f64 y #s(literal 4 binary64))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* x y))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 x y)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* y (+ x (* -1 x))) (+ x (* -1 x)))) x)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 1)) |
#s(approx (- 1 (pow y 3)) #s(literal 1 binary64)) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (+ 1 (* -1 (pow y 3))))) |
#s(approx (- 1 (pow y 3)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) |
#s(approx (pow y 3) #s(hole binary64 (pow y 3))) |
#s(approx (pow y 3) (pow.f64 y #s(literal 3 binary64))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 1)) |
#s(approx (+ (+ (* y y) y) 1) #s(literal 1 binary64)) |
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (+ 1 y))) |
#s(approx (+ (+ (* y y) y) 1) (-.f64 y #s(literal -1 binary64))) |
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (+ 1 (* y (+ 1 y))))) |
#s(approx (+ (+ (* y y) y) 1) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
#s(approx (* (* x y) (- 1 y)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (* (* y (sqrt x)) (sqrt x)) (- 1 y)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (- 1 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (- 1 y) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (*.f64 (*.f64 (neg.f64 y) y) x)) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (* -1 y))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) (neg.f64 y)) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)) |
#s(approx (- 1 (* y y)) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) |
#s(approx (- 1 (* y y)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1)))) |
#s(approx (- 1 (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) y) y)) |
#s(approx (* (- 1 (pow y 3)) (* y x)) #s(hole binary64 (* -1 (* x (pow y 4))))) |
#s(approx (* (- 1 (pow y 3)) (* y x)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 x))) |
#s(approx (* (- 1 (pow y 3)) (* y x)) #s(hole binary64 (* (pow y 4) (+ (* -1 x) (/ x (pow y 3)))))) |
#s(approx (* (- 1 (pow y 3)) (* y x)) (*.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 y #s(literal 4 binary64)))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (* -1 (/ x y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* -1 (pow y 3)))) |
#s(approx (- 1 (pow y 3)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* (pow y 3) (- (/ 1 (pow y 3)) 1)))) |
#s(approx (- 1 (pow y 3)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (pow y 2))) |
#s(approx (+ (+ (* y y) y) 1) (*.f64 y y)) |
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 y))))) |
#s(approx (+ (+ (* y y) y) 1) (fma.f64 y y y)) |
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))) |
#s(approx (+ (+ (* y y) y) 1) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (- 1 y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) y))) y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ x (+ (* -1 x) (/ x y))) (+ (* -1 (/ x y)) (* 2 (/ x y)))) y))) y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* -1 (* (pow y 3) (- 1 (/ 1 (pow y 3))))))) |
#s(approx (- 1 (pow y 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 128 |
| 0 | 49 | 99 |
| 1 | 507 | 92 |
| 2 | 6305 | 92 |
| 0 | 8425 | 91 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
(*.f64 x y) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (*.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y x)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
(*.f64 y y) |
(+.f64 (fma.f64 y y y) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sqrt.f64 x) y))) (sqrt.f64 (*.f64 (sqrt.f64 x) y))) |
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (*.f64 y y) x))) (cbrt.f64 (*.f64 (sqrt.f64 x) y))) |
(*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)) |
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (neg.f64 (sqrt.f64 (*.f64 x y)))) |
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) y))) |
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x)) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 y y) x)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y)) |
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y))) |
(*.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) |
(*.f64 x y) |
(*.f64 y x) |
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x y) #s(literal 1 binary64)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))) |
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 x y))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 x y))) (sinh.f64 (log.f64 (*.f64 x y)))) |
(log.f64 (pow.f64 (exp.f64 y) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 x y)) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) y) (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) y) (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y y y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 (*.f64 x y) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))) (cbrt.f64 (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (*.f64 x y) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) y)) (/.f64 x (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) y))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) y)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) y)) (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) y)) #s(literal 2 binary64)) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) y)) (/.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) y)) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (fma.f64 y y y) x))) |
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(*.f64 (*.f64 y (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 y y))) |
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y)) |
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 y y))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) y) |
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 y (*.f64 y y)) |
(pow.f64 (pow.f64 y (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))) |
(pow.f64 (pow.f64 y (cbrt.f64 #s(literal 9 binary64))) (cbrt.f64 #s(literal 3 binary64))) |
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64)) |
(pow.f64 y #s(literal 3 binary64)) |
(neg.f64 (pow.f64 y #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64)))) |
(cbrt.f64 (pow.f64 y #s(literal 9 binary64))) |
(sqrt.f64 (pow.f64 y #s(literal 6 binary64))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 3 binary64)))) (sinh.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 3 binary64))))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))) |
(log.f64 (exp.f64 (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) |
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y)) |
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 y y)) |
(cbrt.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) |
(cbrt.f64 (pow.f64 y #s(literal 6 binary64))) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (log.f64 y)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) |
(+.f64 (cosh.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (log.f64 y)))) (sinh.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (log.f64 y))))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) |
(log.f64 (pow.f64 (exp.f64 y) y)) |
(*.f64 (neg.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) y)) (neg.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) y))) |
(*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) y) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) y)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) y) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) #s(literal 3 binary64)) |
(pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) (-.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y y y)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (fma.f64 y y y)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y y y))) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal -1 binary64) y) (*.f64 y y)) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (*.f64 y y)) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) y) |
(fma.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 y)) (sqrt.f64 y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 y y)) |
(fma.f64 (+.f64 y (sqrt.f64 y)) (-.f64 y (sqrt.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 y y y)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 y y y)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (*.f64 y y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) y) (cbrt.f64 (-.f64 #s(literal 1 binary64) y))) (*.f64 y y)) |
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 y y y))) (neg.f64 (sqrt.f64 (fma.f64 y y y))) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (*.f64 y y)) |
(fma.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (sqrt.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))) (*.f64 y y)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) y) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y) y) |
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)) y) |
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 y y)) |
(fma.f64 (sin.f64 (acos.f64 (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 (sin.f64 (acos.f64 (pow.f64 y #s(literal 3/2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 y y)) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y) (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (sqrt.f64 (fma.f64 y y y)) (*.f64 (sqrt.f64 (fma.f64 y y y)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 y y y)) (sqrt.f64 (fma.f64 y y y)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64)) (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (*.f64 y y)) |
(fma.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 y y)) |
(fma.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) y) |
(fma.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 y y)) |
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y y y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 y y y)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y y y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y y y)) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (fma.f64 y y y)) (pow.f64 (cbrt.f64 (fma.f64 y y y)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)) y) |
(fma.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 y y)) |
(fma.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) y) |
(fma.f64 (fma.f64 y y y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 y y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y) y) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 y y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 y y (-.f64 #s(literal 1 binary64) y)) |
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 3 binary64))) |
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))) |
(-.f64 (fma.f64 y y y) #s(literal -1 binary64)) |
(-.f64 (fma.f64 y y #s(literal 1 binary64)) y) |
(-.f64 (*.f64 y y) (+.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 y y y))) (sqrt.f64 (fma.f64 y y y)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 y y y)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y y y)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) y) y)) |
(exp.f64 (*.f64 (log1p.f64 (fma.f64 y y y)) #s(literal 1 binary64))) |
(exp.f64 (log1p.f64 (fma.f64 y y y))) |
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (fma.f64 y y y)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (log1p.f64 (fma.f64 y y y)) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y y y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y y y)))) |
(+.f64 (cosh.f64 (log1p.f64 (fma.f64 y y y))) (sinh.f64 (log1p.f64 (fma.f64 y y y)))) |
(+.f64 (fma.f64 y y y) #s(literal 1 binary64)) |
(+.f64 (fma.f64 y y #s(literal 1 binary64)) y) |
(+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) |
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) |
(+.f64 #s(literal 1 binary64) (fma.f64 y y y)) |
(+.f64 y (fma.f64 y y #s(literal 1 binary64))) |
(log.f64 (exp.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
Compiled 13 260 to 2 206 computations (83.4% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 712 | 5 | 717 |
| Fresh | 3 | 4 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 717 | 13 | 730 |
| Status | Accuracy | Program |
|---|---|---|
| 98.6% | (*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) y)) | |
| ▶ | 62.2% | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) |
| 99.4% | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)) | |
| 93.0% | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) | |
| ✓ | 99.4% | (*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) y)) |
| ▶ | 99.4% | (*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) |
| ▶ | 56.1% | (*.f64 (*.f64 x y) (/.f64 #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) (+.f64 #s(literal 1 binary64) y))) |
| ✓ | 99.9% | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ▶ | 99.7% | (*.f64 (*.f64 x y) #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y))) |
| ✓ | 62.8% | (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| 66.2% | #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (/.f64 x (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y))) | |
| ▶ | 55.9% | #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
| ✓ | 57.8% | #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
Compiled 335 to 242 computations (27.8% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) | |
| cost-diff | 3 | (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 y x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 y x))) | |
| cost-diff | 6 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) | |
| cost-diff | 0 | #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) (/.f64 #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) (+.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 y) y) x) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (neg.f64 y) y) x)) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 218 |
| 0 | 56 | 218 |
| 1 | 110 | 206 |
| 2 | 246 | 206 |
| 3 | 692 | 206 |
| 4 | 2363 | 204 |
| 5 | 6912 | 204 |
| 0 | 8136 | 203 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x y) #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y))) |
(*.f64 x y) |
x |
y |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
x |
(*.f64 (*.f64 x y) (/.f64 #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 x y) |
x |
y |
(/.f64 #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(sqrt.f64 (*.f64 y x)) |
(*.f64 y x) |
x |
(*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) |
(*.f64 x y) |
x |
y |
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) |
(cbrt.f64 (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 x y) #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y))) |
(*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
x |
(*.f64 (*.f64 x y) (/.f64 #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y))) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(/.f64 #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 y x))) |
(*.f64 (sqrt.f64 (*.f64 y x)) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(sqrt.f64 (*.f64 y x)) |
(*.f64 y x) |
x |
(*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
(cbrt.f64 (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) | |
| accuracy | 0.15138627930532603 | (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.20902255861065205 | (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.06640625 | (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 y x))) | |
| accuracy | 0.166347509768442 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) | |
| accuracy | 6.621998403479303 | (sqrt.f64 (*.f64 y x)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 x y) (/.f64 #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) (+.f64 #s(literal 1 binary64) y))) | |
| accuracy | 9.325499601406927 | (/.f64 #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 17.268671367777102 | #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) | |
| accuracy | 0.0 | (*.f64 (neg.f64 y) y) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 5.023358700917381 | (*.f64 (*.f64 (neg.f64 y) y) x) | |
| accuracy | 13.986607382704017 | #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (neg.f64 y) y) x)) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.0 | #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 x y) #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y))) | |
| accuracy | 0.0546875 | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
| 65.0ms | 117× | 0 | invalid |
| 31.0ms | 139× | 0 | valid |
Compiled 182 to 32 computations (82.4% saved)
ival-mult: 16.0ms (32.3% of total)ival-div: 11.0ms (22.2% of total)ival-pow: 7.0ms (14.1% of total)ival-sub: 5.0ms (10.1% of total)ival-neg: 4.0ms (8.1% of total)ival-add: 3.0ms (6.1% of total)ival-sqrt: 2.0ms (4% of total)ival-cbrt: 1.0ms (2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 x y) #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y))) |
(*.f64 x y) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(*.f64 (*.f64 x y) (/.f64 #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) y) |
(sqrt.f64 (*.f64 y x)) |
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) |
(*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) |
(cbrt.f64 (-.f64 #s(literal 1 binary64) y)) |
(*.f64 y x) |
| Outputs |
|---|
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (/ (* x (* y (- 1 (pow y 2)))) (+ 1 y)))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (/ (* x (* y (- 1 (pow y 3)))) (+ 1 (+ y (pow y 2)))))) |
#s(approx (* (* (neg y) y) x) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (* (sqrt (* x y)) (- 1 y)))) |
#s(approx (sqrt (* y x)) #s(hole binary64 (sqrt (* x y)))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* -1 (* x (* y (* (pow (sqrt -1) 2) (- 1 y))))))) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (* -1 (* (sqrt (* x y)) (* (pow (sqrt -1) 2) (- 1 y)))))) |
#s(approx (sqrt (* y x)) #s(hole binary64 (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* x y))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 1)) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (* (- (/ 1 y) 1) y) #s(hole binary64 1)) |
#s(approx (* (- (/ 1 y) 1) y) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* x y))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* y (+ x (* -1 x))) (+ x (* -1 x)))) x)))))) |
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1 (* y y)) #s(hole binary64 1)) |
#s(approx (- 1 (* y y)) #s(hole binary64 (+ 1 (* -1 (pow y 2))))) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* x y))) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (sqrt (* x y)))) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (+ (sqrt (* x y)) (* -1 (sqrt (* x (pow y 3))))))) |
#s(approx (- 1 y) #s(hole binary64 1)) |
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 1)) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) #s(hole binary64 (* x y))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 1)) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (+ 1 (* -1/3 y)))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (+ 1 (* y (- (* -1/9 y) 1/3))))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (+ 1 (* y (- (* y (- (* -5/81 y) 1/9)) 1/3))))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (* -1 y))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (* (- (/ 1 y) 1) y) #s(hole binary64 (* -1 y))) |
#s(approx (* (- (/ 1 y) 1) y) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (* -1 (/ x y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))))) |
#s(approx (- 1 (* y y)) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (- 1 (* y y)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1)))) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (* -1 (sqrt (* x (pow y 3)))))) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (sqrt (/ x (pow y 3))) (* -1 (sqrt (/ x y))))))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (* -1 y))) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* (cbrt y) (cbrt -1)))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* y (+ (* 1/3 (* (cbrt (/ 1 (pow y 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow y 2))) (cbrt -1)))))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* y (+ (* -1/9 (* (cbrt (/ 1 (pow y 8))) (/ 1 (pow (cbrt -1) 5)))) (+ (* 1/3 (* (cbrt (/ 1 (pow y 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow y 2))) (cbrt -1))))))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* y (+ (* -1/9 (* (cbrt (/ 1 (pow y 8))) (/ 1 (pow (cbrt -1) 5)))) (+ (* 5/81 (* (cbrt (/ 1 (pow y 11))) (/ 1 (pow (cbrt -1) 8)))) (+ (* 1/3 (* (cbrt (/ 1 (pow y 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow y 2))) (cbrt -1)))))))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (* (- (/ 1 y) 1) y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) y))) y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ x (+ (* -1 x) (/ x y))) (+ (* -1 (/ x y)) (* 2 (/ x y)))) y))) y)))))) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* x (* (pow y 2) (pow (sqrt -1) 2))))) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (* x (pow (sqrt -1) 2)))))) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (* (sqrt (* x (pow y 3))) (pow (sqrt -1) 2)))) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (* -1 (* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2))) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* -1 (cbrt y)))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* -1 (* y (+ (cbrt (/ 1 (pow y 2))) (* -1/3 (cbrt (/ 1 (pow y 5))))))))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* -1 (* y (+ (cbrt (/ 1 (pow y 2))) (* -1 (/ (+ (* 1/9 (cbrt y)) (* 1/3 (cbrt (pow y 4)))) (pow y 3)))))))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* -1 (* y (+ (cbrt (/ 1 (pow y 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (pow y 10))) (* -5/81 (cbrt (pow y 7)))) (pow y 3))) (* 1/3 (cbrt (pow y 4)))) (pow y 3)))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 78.0ms | x | @ | -inf | ((* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (* x y) (/ (- 1 (* y y)) (+ 1 y)) (* (- (/ 1 y) 1) y) (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (/ (- 1 (* y y)) (+ 1 y)) (- 1 (* y y)) (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) (* (- 1 y) (sqrt (* y x))) (- 1 y) (sqrt (* y x)) (pow (cbrt (- 1 y)) 3) (* (* x y) (pow (cbrt (- 1 y)) 3)) (cbrt (- 1 y)) (* y x)) |
| 5.0ms | y | @ | -inf | ((* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (* x y) (/ (- 1 (* y y)) (+ 1 y)) (* (- (/ 1 y) 1) y) (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (/ (- 1 (* y y)) (+ 1 y)) (- 1 (* y y)) (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) (* (- 1 y) (sqrt (* y x))) (- 1 y) (sqrt (* y x)) (pow (cbrt (- 1 y)) 3) (* (* x y) (pow (cbrt (- 1 y)) 3)) (cbrt (- 1 y)) (* y x)) |
| 5.0ms | y | @ | inf | ((* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (* x y) (/ (- 1 (* y y)) (+ 1 y)) (* (- (/ 1 y) 1) y) (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (/ (- 1 (* y y)) (+ 1 y)) (- 1 (* y y)) (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) (* (- 1 y) (sqrt (* y x))) (- 1 y) (sqrt (* y x)) (pow (cbrt (- 1 y)) 3) (* (* x y) (pow (cbrt (- 1 y)) 3)) (cbrt (- 1 y)) (* y x)) |
| 3.0ms | x | @ | 0 | ((* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (* x y) (/ (- 1 (* y y)) (+ 1 y)) (* (- (/ 1 y) 1) y) (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (/ (- 1 (* y y)) (+ 1 y)) (- 1 (* y y)) (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) (* (- 1 y) (sqrt (* y x))) (- 1 y) (sqrt (* y x)) (pow (cbrt (- 1 y)) 3) (* (* x y) (pow (cbrt (- 1 y)) 3)) (cbrt (- 1 y)) (* y x)) |
| 3.0ms | x | @ | inf | ((* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (* x y) (/ (- 1 (* y y)) (+ 1 y)) (* (- (/ 1 y) 1) y) (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (/ (- 1 (* y y)) (+ 1 y)) (- 1 (* y y)) (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) (* (- 1 y) (sqrt (* y x))) (- 1 y) (sqrt (* y x)) (pow (cbrt (- 1 y)) 3) (* (* x y) (pow (cbrt (- 1 y)) 3)) (cbrt (- 1 y)) (* y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 312 | 1483 |
| 1 | 807 | 1362 |
| 2 | 3008 | 1349 |
| 0 | 8962 | 1321 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (/ (* x (* y (- 1 (pow y 2)))) (+ 1 y)))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (/ (* x (* y (- 1 (pow y 3)))) (+ 1 (+ y (pow y 2)))))) |
#s(approx (* (* (neg y) y) x) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (* (sqrt (* x y)) (- 1 y)))) |
#s(approx (sqrt (* y x)) #s(hole binary64 (sqrt (* x y)))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* -1 (* x (* y (* (pow (sqrt -1) 2) (- 1 y))))))) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (* -1 (* (sqrt (* x y)) (* (pow (sqrt -1) 2) (- 1 y)))))) |
#s(approx (sqrt (* y x)) #s(hole binary64 (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* x y))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 1)) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (* (- (/ 1 y) 1) y) #s(hole binary64 1)) |
#s(approx (* (- (/ 1 y) 1) y) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* x y))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* y (+ x (* -1 x))) (+ x (* -1 x)))) x)))))) |
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1 (* y y)) #s(hole binary64 1)) |
#s(approx (- 1 (* y y)) #s(hole binary64 (+ 1 (* -1 (pow y 2))))) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* x y))) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (sqrt (* x y)))) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (+ (sqrt (* x y)) (* -1 (sqrt (* x (pow y 3))))))) |
#s(approx (- 1 y) #s(hole binary64 1)) |
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 1)) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) #s(hole binary64 (* x y))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 1)) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (+ 1 (* -1/3 y)))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (+ 1 (* y (- (* -1/9 y) 1/3))))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (+ 1 (* y (- (* y (- (* -5/81 y) 1/9)) 1/3))))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (* -1 y))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (* (- (/ 1 y) 1) y) #s(hole binary64 (* -1 y))) |
#s(approx (* (- (/ 1 y) 1) y) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (* -1 (/ x y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))))) |
#s(approx (- 1 (* y y)) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (- 1 (* y y)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1)))) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (* -1 (sqrt (* x (pow y 3)))))) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (sqrt (/ x (pow y 3))) (* -1 (sqrt (/ x y))))))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (* -1 y))) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* (cbrt y) (cbrt -1)))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* y (+ (* 1/3 (* (cbrt (/ 1 (pow y 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow y 2))) (cbrt -1)))))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* y (+ (* -1/9 (* (cbrt (/ 1 (pow y 8))) (/ 1 (pow (cbrt -1) 5)))) (+ (* 1/3 (* (cbrt (/ 1 (pow y 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow y 2))) (cbrt -1))))))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* y (+ (* -1/9 (* (cbrt (/ 1 (pow y 8))) (/ 1 (pow (cbrt -1) 5)))) (+ (* 5/81 (* (cbrt (/ 1 (pow y 11))) (/ 1 (pow (cbrt -1) 8)))) (+ (* 1/3 (* (cbrt (/ 1 (pow y 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow y 2))) (cbrt -1)))))))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (* (- (/ 1 y) 1) y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) y))) y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ x (+ (* -1 x) (/ x y))) (+ (* -1 (/ x y)) (* 2 (/ x y)))) y))) y)))))) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* x (* (pow y 2) (pow (sqrt -1) 2))))) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (* x (pow (sqrt -1) 2)))))) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (* (sqrt (* x (pow y 3))) (pow (sqrt -1) 2)))) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (* -1 (* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2))) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* -1 (cbrt y)))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* -1 (* y (+ (cbrt (/ 1 (pow y 2))) (* -1/3 (cbrt (/ 1 (pow y 5))))))))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* -1 (* y (+ (cbrt (/ 1 (pow y 2))) (* -1 (/ (+ (* 1/9 (cbrt y)) (* 1/3 (cbrt (pow y 4)))) (pow y 3)))))))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* -1 (* y (+ (cbrt (/ 1 (pow y 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (pow y 10))) (* -5/81 (cbrt (pow y 7)))) (pow y 3))) (* 1/3 (cbrt (pow y 4)))) (pow y 3)))))))) |
| Outputs |
|---|
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (/ (* x (* y (- 1 (pow y 2)))) (+ 1 y)))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (*.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 x (-.f64 y #s(literal -1 binary64))))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (* x y) (*.f64 y x)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (/ (* x (* y (- 1 (pow y 3)))) (+ 1 (+ y (pow y 2)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y) (/.f64 x (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))))) |
#s(approx (* (* (neg y) y) x) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* (neg y) y) x) (*.f64 (*.f64 (neg.f64 y) y) x)) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (* (sqrt (* x y)) (- 1 y)))) |
#s(approx (* (- 1 y) (sqrt (* y x))) (*.f64 (sqrt.f64 (*.f64 y x)) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (sqrt (* y x)) #s(hole binary64 (sqrt (* x y)))) |
#s(approx (sqrt (* y x)) (sqrt.f64 (*.f64 y x))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (* x y) (*.f64 y x)) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* -1 (* x (* y (* (pow (sqrt -1) 2) (- 1 y))))))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (* -1 (* (sqrt (* x y)) (* (pow (sqrt -1) 2) (- 1 y)))))) |
#s(approx (* (- 1 y) (sqrt (* y x))) (*.f64 (sqrt.f64 (*.f64 y x)) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (sqrt (* y x)) #s(hole binary64 (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (* y x)) (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* x y))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (*.f64 y x)) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 1)) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (* (- (/ 1 y) 1) y) #s(hole binary64 1)) |
#s(approx (* (- (/ 1 y) 1) y) #s(literal 1 binary64)) |
#s(approx (* (- (/ 1 y) 1) y) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (* (- (/ 1 y) 1) y) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* x y))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 y x)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) y x) y)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* y (+ x (* -1 x))) (+ x (* -1 x)))) x)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) y #s(literal 0 binary64)) y (neg.f64 x)) y x) y)) |
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (* (neg y) y) (*.f64 (neg.f64 y) y)) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (neg y) (neg.f64 y)) |
#s(approx (- 1 (* y y)) #s(hole binary64 1)) |
#s(approx (- 1 (* y y)) #s(literal 1 binary64)) |
#s(approx (- 1 (* y y)) #s(hole binary64 (+ 1 (* -1 (pow y 2))))) |
#s(approx (- 1 (* y y)) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* x y))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) (*.f64 y x)) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (sqrt (* x y)))) |
#s(approx (* (- 1 y) (sqrt (* y x))) (sqrt.f64 (*.f64 y x))) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (+ (sqrt (* x y)) (* -1 (sqrt (* x (pow y 3))))))) |
#s(approx (* (- 1 y) (sqrt (* y x))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))) |
#s(approx (- 1 y) #s(hole binary64 1)) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(literal 1 binary64)) |
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (pow (cbrt (- 1 y)) 3) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 1)) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(literal 1 binary64)) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (pow (cbrt (- 1 y)) 3) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) #s(hole binary64 (* x y))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) (*.f64 y x)) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 1)) |
#s(approx (cbrt (- 1 y)) #s(literal 1 binary64)) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (+ 1 (* -1/3 y)))) |
#s(approx (cbrt (- 1 y)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 1 binary64))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (+ 1 (* y (- (* -1/9 y) 1/3))))) |
#s(approx (cbrt (- 1 y)) (fma.f64 (-.f64 (*.f64 #s(literal -1/9 binary64) y) #s(literal 1/3 binary64)) y #s(literal 1 binary64))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (+ 1 (* y (- (* y (- (* -5/81 y) 1/9)) 1/3))))) |
#s(approx (cbrt (- 1 y)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/81 binary64) y) #s(literal 1/9 binary64)) y) #s(literal 1/3 binary64)) y #s(literal 1 binary64))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (*.f64 (*.f64 (neg.f64 y) y) x)) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (* x y) (/ (- 1 (* y y)) (+ 1 y))) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (* -1 y))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) (neg.f64 y)) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)) |
#s(approx (* (- (/ 1 y) 1) y) #s(hole binary64 (* -1 y))) |
#s(approx (* (- (/ 1 y) 1) y) (neg.f64 y)) |
#s(approx (* (- (/ 1 y) 1) y) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (* (- (/ 1 y) 1) y) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (* -1 (/ x y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (- 1 (* y y)) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) |
#s(approx (- 1 (* y y)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1)))) |
#s(approx (- 1 (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) y) y)) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (* -1 (sqrt (* x (pow y 3)))))) |
#s(approx (* (- 1 y) (sqrt (* y x))) (neg.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (sqrt (/ x (pow y 3))) (* -1 (sqrt (/ x y))))))) |
#s(approx (* (- 1 y) (sqrt (* y x))) (*.f64 (-.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 x y))) (*.f64 y y))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 y))) |
#s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) |
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (pow (cbrt (- 1 y)) 3) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (* -1 y))) |
#s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (pow (cbrt (- 1 y)) 3) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* (cbrt y) (cbrt -1)))) |
#s(approx (cbrt (- 1 y)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 y))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* y (+ (* 1/3 (* (cbrt (/ 1 (pow y 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow y 2))) (cbrt -1)))))) |
#s(approx (cbrt (- 1 y)) (*.f64 (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (cbrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64))) y)) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* y (+ (* -1/9 (* (cbrt (/ 1 (pow y 8))) (/ 1 (pow (cbrt -1) 5)))) (+ (* 1/3 (* (cbrt (/ 1 (pow y 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow y 2))) (cbrt -1))))))) |
#s(approx (cbrt (- 1 y)) (*.f64 (fma.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal -1/9 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (cbrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))) y)) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* y (+ (* -1/9 (* (cbrt (/ 1 (pow y 8))) (/ 1 (pow (cbrt -1) 5)))) (+ (* 5/81 (* (cbrt (/ 1 (pow y 11))) (/ 1 (pow (cbrt -1) 8)))) (+ (* 1/3 (* (cbrt (/ 1 (pow y 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow y 2))) (cbrt -1)))))))) |
#s(approx (cbrt (- 1 y)) (*.f64 (fma.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 11 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) #s(literal 5/81 binary64) (fma.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal -1/9 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (cbrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64))))) y)) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))) |
#s(approx (* (- (/ 1 y) 1) y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (* (- (/ 1 y) 1) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) y))) y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ x (+ (* -1 x) (/ x y))) (+ (* -1 (/ x y)) (* 2 (/ x y)))) y))) y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* x (* (pow y 2) (pow (sqrt -1) 2))))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
#s(approx (* (* (- 1 y) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (* x (pow (sqrt -1) 2)))))) |
#s(approx (* (* x y) (pow (cbrt (- 1 y)) 3)) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (* (sqrt (* x (pow y 3))) (pow (sqrt -1) 2)))) |
#s(approx (* (- 1 y) (sqrt (* y x))) (neg.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))) |
#s(approx (* (- 1 y) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (* -1 (* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2))) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))) |
#s(approx (* (- 1 y) (sqrt (* y x))) (*.f64 (-.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 x y))) (*.f64 y y))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (pow (cbrt (- 1 y)) 3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (pow (cbrt (- 1 y)) 3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* -1 (cbrt y)))) |
#s(approx (cbrt (- 1 y)) (neg.f64 (cbrt.f64 y))) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* -1 (* y (+ (cbrt (/ 1 (pow y 2))) (* -1/3 (cbrt (/ 1 (pow y 5))))))))) |
#s(approx (cbrt (- 1 y)) (*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal 1/3 binary64) (neg.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y)))) y)) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* -1 (* y (+ (cbrt (/ 1 (pow y 2))) (* -1 (/ (+ (* 1/9 (cbrt y)) (* 1/3 (cbrt (pow y 4)))) (pow y 3)))))))) |
#s(approx (cbrt (- 1 y)) (*.f64 (fma.f64 #s(literal -1 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 y) #s(literal 1/9 binary64))) (pow.f64 y #s(literal 3 binary64)))) y)) |
#s(approx (cbrt (- 1 y)) #s(hole binary64 (* -1 (* y (+ (cbrt (/ 1 (pow y 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (pow y 10))) (* -5/81 (cbrt (pow y 7)))) (pow y 3))) (* 1/3 (cbrt (pow y 4)))) (pow y 3)))))))) |
#s(approx (cbrt (- 1 y)) (*.f64 (-.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (cbrt.f64 (pow.f64 y #s(literal 10 binary64))) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 7 binary64))) #s(literal 5/81 binary64))) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 177 |
| 0 | 56 | 153 |
| 1 | 636 | 136 |
| 0 | 8396 | 127 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x y) #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y))) |
(*.f64 x y) |
#s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(*.f64 (*.f64 x y) (/.f64 #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) y) |
(sqrt.f64 (*.f64 y x)) |
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) |
(*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) |
(cbrt.f64 (-.f64 #s(literal 1 binary64) y)) |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y x))) |
(*.f64 (*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) |
(*.f64 (*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) x) y) |
(*.f64 (*.f64 (*.f64 y x) (sqrt.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)))) (sqrt.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)))) |
(*.f64 (*.f64 (*.f64 y x) (pow.f64 (cbrt.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y))) #s(literal 2 binary64))) (cbrt.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) (*.f64 y x)))) (neg.f64 (sqrt.f64 (*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) (*.f64 y x))))) |
(*.f64 (*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) y) x) |
(*.f64 (sqrt.f64 (*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) (*.f64 y x))) (sqrt.f64 (*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) (*.f64 y x)))) |
(*.f64 (sqrt.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y))) (*.f64 (sqrt.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y))) (*.f64 y x))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) y))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) (*.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) (*.f64 y x)))) |
(*.f64 (cbrt.f64 (*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) (*.f64 y x))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y x)) #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)))) |
(*.f64 (pow.f64 (cbrt.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y))) (*.f64 y x))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) y))) |
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)))) |
(*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) (*.f64 y x)) |
(*.f64 (*.f64 y x) #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y))) |
(*.f64 y (*.f64 x #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)))) |
(*.f64 x (*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) y)) |
(pow.f64 (sqrt.f64 (*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) (*.f64 y x))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) (*.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) (*.f64 y x))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) (*.f64 y x)) #s(literal 1 binary64)) |
(cbrt.f64 (*.f64 (pow.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) #s(literal 3 binary64)))) |
(cbrt.f64 (pow.f64 (*.f64 #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)) (*.f64 y x)) #s(literal 3 binary64))) |
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(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 y x))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 y x))) (sinh.f64 (log.f64 (*.f64 y x)))) |
(log.f64 (pow.f64 (exp.f64 y) x)) |
Compiled 17 051 to 2 211 computations (87% saved)
13 alts after pruning (7 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 765 | 4 | 769 |
| Fresh | 1 | 3 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 769 | 13 | 782 |
| Status | Accuracy | Program |
|---|---|---|
| 98.6% | (*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) y)) | |
| ▶ | 67.3% | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))) |
| ▶ | 99.4% | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)) |
| ▶ | 93.0% | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
| ✓ | 99.4% | (*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) y)) |
| ▶ | 40.5% | (*.f64 (*.f64 #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) |
| 62.4% | (*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y))) #s(literal 3 binary64))) | |
| ✓ | 56.1% | (*.f64 (*.f64 x y) (/.f64 #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) (+.f64 #s(literal 1 binary64) y))) |
| ✓ | 99.9% | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | 62.8% | (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| ▶ | 99.8% | #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) y x) y)) |
| ✓ | 55.9% | #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
| ✓ | 57.8% | #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
Compiled 295 to 219 computations (25.8% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (pow.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) | |
| cost-diff | 2 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) (sqrt.f64 (*.f64 y x))) | |
| cost-diff | 6 | (*.f64 (*.f64 #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) | |
| cost-diff | 4 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) y x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) y x) y) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) y x) y)) | |
| cost-diff | 3 | (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 212 |
| 0 | 66 | 197 |
| 1 | 113 | 181 |
| 2 | 272 | 181 |
| 3 | 836 | 181 |
| 4 | 4066 | 177 |
| 0 | 8514 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) y x) y)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) y x) y) |
(fma.f64 (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) y x) |
(fma.f64 #s(literal 0 binary64) y (neg.f64 x)) |
#s(literal 0 binary64) |
y |
(neg.f64 x) |
x |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(sqrt.f64 x) |
x |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (*.f64 #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) |
(*.f64 #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) (sqrt.f64 (*.f64 y x))) |
#s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 y x)) |
(*.f64 y x) |
x |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(*.f64 y (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64)))) |
(/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) |
x |
(-.f64 (fma.f64 y y y) #s(literal -1 binary64)) |
(fma.f64 y y y) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) y x) y)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) y x) y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(fma.f64 (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) y x) |
(fma.f64 (neg.f64 x) y x) |
(fma.f64 #s(literal 0 binary64) y (neg.f64 x)) |
(neg.f64 x) |
#s(literal 0 binary64) |
y |
(neg.f64 x) |
x |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(sqrt.f64 x) |
x |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (*.f64 #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) |
(*.f64 (*.f64 x y) #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y))) |
(*.f64 #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) (sqrt.f64 (*.f64 y x))) |
(*.f64 (sqrt.f64 (*.f64 x y)) #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y))) |
#s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 y x)) |
(sqrt.f64 (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
x |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 y (pow.f64 y #s(literal 4 binary64))) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(*.f64 y (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64)))) |
(/.f64 (*.f64 x y) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) |
(/.f64 x (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
x |
(-.f64 (fma.f64 y y y) #s(literal -1 binary64)) |
(fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 y y y) |
#s(literal -1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) | |
| accuracy | 1.877144481119978 | (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) | |
| accuracy | 5.629274659674265 | (*.f64 y (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64)))) | |
| accuracy | 6.605265338293314 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))) | |
| accuracy | 0.06640625 | (*.f64 #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) (sqrt.f64 (*.f64 y x))) | |
| accuracy | 0.166347509768442 | (*.f64 (*.f64 #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) | |
| accuracy | 6.621998403479303 | (sqrt.f64 (*.f64 y x)) | |
| accuracy | 17.435226855514294 | #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.05859375 | (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) | |
| accuracy | 0.125 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)) | |
| accuracy | 0.12890625 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0 | (*.f64 (-.f64 #s(literal 1 binary64) y) y) | |
| accuracy | 2.8192638427047187 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) | |
| accuracy | 0.0 | (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0 | #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) y x) y)) | |
| accuracy | 0.05859375 | (*.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) y x) y) |
| 47.0ms | 117× | 0 | invalid |
| 37.0ms | 139× | 0 | valid |
Compiled 205 to 39 computations (81% saved)
ival-mult: 20.0ms (38.4% of total)ival-add: 9.0ms (17.3% of total)ival-pow: 8.0ms (15.4% of total)ival-sub: 4.0ms (7.7% of total)ival-div: 3.0ms (5.8% of total)ival-sqrt: 3.0ms (5.8% of total)ival-cbrt: 2.0ms (3.8% of total)ival-neg: 2.0ms (3.8% of total)exact: 1.0ms (1.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 #s(literal 0 binary64) y (neg.f64 x)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) y x) y)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) y x) y) |
(fma.f64 (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) y x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) |
(sqrt.f64 x) |
(*.f64 (*.f64 #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) |
(*.f64 #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) (sqrt.f64 (*.f64 y x))) |
#s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
(*.f64 y (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64)))) |
(neg.f64 x) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 (*.f64 y x)) |
(/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (+ (* 0 y) (neg x)) #s(hole binary64 (* -1 x))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (/ (* x (* y (- 1 (pow y 3)))) (+ 1 (+ y (pow y 2)))))) |
#s(approx (* (+ (* (+ (* 0 y) (neg x)) y) x) y) #s(hole binary64 (* x (* y (+ 1 (* -1 y)))))) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) #s(hole binary64 (* x (+ 1 (* -1 y))))) |
#s(approx (* (* (- 1 y) y) x) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* (- 1 y) (sqrt x)) #s(hole binary64 (* (sqrt x) (- 1 y)))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (* (sqrt (* x y)) (- 1 y)))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (/ (* x (* y (- 1 (pow y 3)))) (+ 1 (+ y (pow y 2)))))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (/ (* x y) (+ 1 (+ y (pow y 2)))))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (* (sqrt x) y) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (sqrt (* y x)) #s(hole binary64 (sqrt (* x y)))) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (/ x (+ 1 (+ y (pow y 2)))))) |
#s(approx (* (+ (* (+ (* 0 y) (neg x)) y) x) y) #s(hole binary64 (* -1 (* x (* y (- y 1)))))) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) #s(hole binary64 (* -1 (* x (- y 1))))) |
#s(approx (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) #s(hole binary64 (* -1 (* x (* y (* (pow (sqrt -1) 2) (- 1 y))))))) |
#s(approx (* (- 1 y) (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 y)))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* -1 (* x (* y (* (pow (sqrt -1) 2) (- 1 y))))))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (* -1 (* (sqrt (* x y)) (* (pow (sqrt -1) 2) (- 1 y)))))) |
#s(approx (* (sqrt x) y) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))))) |
#s(approx (sqrt (* y x)) #s(hole binary64 (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* x y))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* y (+ x (* -1 x))) (+ x (* -1 x)))) x)))))) |
#s(approx (* (+ (* (+ (* 0 y) (neg x)) y) x) y) #s(hole binary64 (* x y))) |
#s(approx (* (+ (* (+ (* 0 y) (neg x)) y) x) y) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) #s(hole binary64 (+ x (* -1 (* x y))))) |
#s(approx (* (* (- 1 y) y) x) #s(hole binary64 (* x y))) |
#s(approx (* (* (- 1 y) y) x) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (- 1 y) y) #s(hole binary64 y)) |
#s(approx (* (- 1 y) y) #s(hole binary64 (* y (+ 1 (* -1 y))))) |
#s(approx (- 1 y) #s(hole binary64 1)) |
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) #s(hole binary64 (* x y))) |
#s(approx (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (- 1 y) (sqrt x)) #s(hole binary64 (sqrt x))) |
#s(approx (* (- 1 y) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* -1 (* (sqrt x) y))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* x y))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (sqrt (* x y)))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (+ (sqrt (* x y)) (* -1 (sqrt (* x (pow y 3))))))) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 1)) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* x y))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* y (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x)))))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* y (+ x (* y (- (* y (- (* y (+ x (* -1 x))) (+ x (* -1 x)))) x)))))) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 1)) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (+ 1 (* -1 (pow y 3))))) |
#s(approx (pow y 3) #s(hole binary64 (pow y 3))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (* x y))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (* y (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x)))))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* y (+ (* -1 x) (* -1 (+ x (* -1 x)))))) (+ x (* -1 x)))) x)))))) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 x)) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (+ x (* -1 (* x y))))) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x))))) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (+ x (* y (- (* y (- (* -1 (* y (+ (* -1 x) (* -1 (+ x (* -1 x)))))) (+ x (* -1 x)))) x))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (* -1 (/ x y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))))) |
#s(approx (* (+ (* (+ (* 0 y) (neg x)) y) x) y) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (+ (* (+ (* 0 y) (neg x)) y) x) y) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ x y))))) |
#s(approx (* (* (- 1 y) y) x) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* (- 1 y) y) x) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (- 1 y) y) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (* (- 1 y) y) #s(hole binary64 (* (pow y 2) (- (/ 1 y) 1)))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (- 1 y) (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) y)))) |
#s(approx (* (- 1 y) (sqrt x)) #s(hole binary64 (* y (+ (* -1 (sqrt x)) (* (sqrt x) (/ 1 y)))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (* -1 (sqrt (* x (pow y 3)))))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (sqrt (/ x (pow y 3))) (* -1 (sqrt (/ x y))))))) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (* -1 y))) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (* -1 (/ x y)))))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))))) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* -1 (pow y 3)))) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* (pow y 3) (- (/ 1 (pow y 3)) 1)))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (/ x y))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (/ (+ x (* -1 (/ x y))) y))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (/ (- (+ x (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (/ x y)) y))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (/ (- (+ x (* -1 (/ (+ (* -1 x) (* -1 (+ x (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ x y) (/ x (pow y 2))))) y))) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (/ x (pow y 2)))) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (/ (+ x (* -1 (/ x y))) (pow y 2)))) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (/ (- (+ x (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (/ x y)) (pow y 2)))) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (/ (- (+ x (* -1 (/ (+ (* -1 x) (* -1 (+ x (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ x y) (/ x (pow y 2))))) (pow y 2)))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) y))) y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ x (+ (* -1 x) (/ x y))) (+ (* -1 (/ x y)) (* 2 (/ x y)))) y))) y)))))) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y))))))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (* (- 1 y) (sqrt x)) #s(hole binary64 (* -1 (* y (+ (sqrt x) (* -1 (* (sqrt x) (/ 1 y)))))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* x (* (pow y 2) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (* x (pow (sqrt -1) 2)))))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (* (sqrt (* x (pow y 3))) (pow (sqrt -1) 2)))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (* -1 (* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2))) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) y))) y)))))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ x (+ (* -1 x) (/ x y))) (+ (* -1 (/ x y)) (* 2 (/ x y)))) y))) y)))))) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* -1 (* (pow y 3) (- 1 (/ 1 (pow y 3))))))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ x y)) y)))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) y))) y))) y)))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* 2 x)) y)))) y))) y))) y)))) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (/ (+ x (* -1 (/ (- (+ (* -1 (/ x y)) (/ x y)) (* -1 x)) y))) (pow y 2)))) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (/ (+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x y)) (* 2 (/ x y))) (+ x (* -1 x))) y)) (* -1 x)) y))) (pow y 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | x | @ | -inf | ((+ (* 0 y) (neg x)) (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (* (+ (* (+ (* 0 y) (neg x)) y) x) y) (+ (* (+ (* 0 y) (neg x)) y) x) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) (* (- 1 y) (sqrt x)) (sqrt x) (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (pow (cbrt (- 1 y)) 3) (neg y) (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) (- 1 (pow y 3)) (pow y 3) (* y (/ x (- (+ (* y y) y) -1))) (neg x) (* (sqrt x) y) (sqrt (* y x)) (/ x (- (+ (* y y) y) -1))) |
| 10.0ms | y | @ | -inf | ((+ (* 0 y) (neg x)) (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (* (+ (* (+ (* 0 y) (neg x)) y) x) y) (+ (* (+ (* 0 y) (neg x)) y) x) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) (* (- 1 y) (sqrt x)) (sqrt x) (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (pow (cbrt (- 1 y)) 3) (neg y) (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) (- 1 (pow y 3)) (pow y 3) (* y (/ x (- (+ (* y y) y) -1))) (neg x) (* (sqrt x) y) (sqrt (* y x)) (/ x (- (+ (* y y) y) -1))) |
| 4.0ms | x | @ | 0 | ((+ (* 0 y) (neg x)) (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (* (+ (* (+ (* 0 y) (neg x)) y) x) y) (+ (* (+ (* 0 y) (neg x)) y) x) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) (* (- 1 y) (sqrt x)) (sqrt x) (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (pow (cbrt (- 1 y)) 3) (neg y) (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) (- 1 (pow y 3)) (pow y 3) (* y (/ x (- (+ (* y y) y) -1))) (neg x) (* (sqrt x) y) (sqrt (* y x)) (/ x (- (+ (* y y) y) -1))) |
| 4.0ms | x | @ | inf | ((+ (* 0 y) (neg x)) (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (* (+ (* (+ (* 0 y) (neg x)) y) x) y) (+ (* (+ (* 0 y) (neg x)) y) x) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) (* (- 1 y) (sqrt x)) (sqrt x) (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (pow (cbrt (- 1 y)) 3) (neg y) (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) (- 1 (pow y 3)) (pow y 3) (* y (/ x (- (+ (* y y) y) -1))) (neg x) (* (sqrt x) y) (sqrt (* y x)) (/ x (- (+ (* y y) y) -1))) |
| 3.0ms | y | @ | inf | ((+ (* 0 y) (neg x)) (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (* (+ (* (+ (* 0 y) (neg x)) y) x) y) (+ (* (+ (* 0 y) (neg x)) y) x) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) (* (- 1 y) (sqrt x)) (sqrt x) (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (pow (cbrt (- 1 y)) 3) (neg y) (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) (- 1 (pow y 3)) (pow y 3) (* y (/ x (- (+ (* y y) y) -1))) (neg x) (* (sqrt x) y) (sqrt (* y x)) (/ x (- (+ (* y y) y) -1))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 365 | 2229 |
| 1 | 1002 | 1962 |
| 2 | 3742 | 1962 |
| 0 | 8390 | 1911 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ (* 0 y) (neg x)) #s(hole binary64 (* -1 x))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (/ (* x (* y (- 1 (pow y 3)))) (+ 1 (+ y (pow y 2)))))) |
#s(approx (* (+ (* (+ (* 0 y) (neg x)) y) x) y) #s(hole binary64 (* x (* y (+ 1 (* -1 y)))))) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) #s(hole binary64 (* x (+ 1 (* -1 y))))) |
#s(approx (* (* (- 1 y) y) x) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* (- 1 y) (sqrt x)) #s(hole binary64 (* (sqrt x) (- 1 y)))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (* (sqrt (* x y)) (- 1 y)))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (/ (* x (* y (- 1 (pow y 3)))) (+ 1 (+ y (pow y 2)))))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (/ (* x y) (+ 1 (+ y (pow y 2)))))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (* (sqrt x) y) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (sqrt (* y x)) #s(hole binary64 (sqrt (* x y)))) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (/ x (+ 1 (+ y (pow y 2)))))) |
#s(approx (* (+ (* (+ (* 0 y) (neg x)) y) x) y) #s(hole binary64 (* -1 (* x (* y (- y 1)))))) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) #s(hole binary64 (* -1 (* x (- y 1))))) |
#s(approx (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) #s(hole binary64 (* -1 (* x (* y (* (pow (sqrt -1) 2) (- 1 y))))))) |
#s(approx (* (- 1 y) (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 y)))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* -1 (* x (* y (* (pow (sqrt -1) 2) (- 1 y))))))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (* -1 (* (sqrt (* x y)) (* (pow (sqrt -1) 2) (- 1 y)))))) |
#s(approx (* (sqrt x) y) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))))) |
#s(approx (sqrt (* y x)) #s(hole binary64 (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* x y))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* y (+ x (* -1 x))) (+ x (* -1 x)))) x)))))) |
#s(approx (* (+ (* (+ (* 0 y) (neg x)) y) x) y) #s(hole binary64 (* x y))) |
#s(approx (* (+ (* (+ (* 0 y) (neg x)) y) x) y) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) #s(hole binary64 (+ x (* -1 (* x y))))) |
#s(approx (* (* (- 1 y) y) x) #s(hole binary64 (* x y))) |
#s(approx (* (* (- 1 y) y) x) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (- 1 y) y) #s(hole binary64 y)) |
#s(approx (* (- 1 y) y) #s(hole binary64 (* y (+ 1 (* -1 y))))) |
#s(approx (- 1 y) #s(hole binary64 1)) |
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) #s(hole binary64 (* x y))) |
#s(approx (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (- 1 y) (sqrt x)) #s(hole binary64 (sqrt x))) |
#s(approx (* (- 1 y) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* -1 (* (sqrt x) y))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* x y))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (sqrt (* x y)))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (+ (sqrt (* x y)) (* -1 (sqrt (* x (pow y 3))))))) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 1)) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* x y))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* y (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x)))))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* y (+ x (* y (- (* y (- (* y (+ x (* -1 x))) (+ x (* -1 x)))) x)))))) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 1)) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (+ 1 (* -1 (pow y 3))))) |
#s(approx (pow y 3) #s(hole binary64 (pow y 3))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (* x y))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (* y (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x)))))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* y (+ (* -1 x) (* -1 (+ x (* -1 x)))))) (+ x (* -1 x)))) x)))))) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 x)) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (+ x (* -1 (* x y))))) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x))))) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (+ x (* y (- (* y (- (* -1 (* y (+ (* -1 x) (* -1 (+ x (* -1 x)))))) (+ x (* -1 x)))) x))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (* -1 (/ x y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))))) |
#s(approx (* (+ (* (+ (* 0 y) (neg x)) y) x) y) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (+ (* (+ (* 0 y) (neg x)) y) x) y) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ x y))))) |
#s(approx (* (* (- 1 y) y) x) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* (- 1 y) y) x) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (- 1 y) y) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (* (- 1 y) y) #s(hole binary64 (* (pow y 2) (- (/ 1 y) 1)))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (- 1 y) (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) y)))) |
#s(approx (* (- 1 y) (sqrt x)) #s(hole binary64 (* y (+ (* -1 (sqrt x)) (* (sqrt x) (/ 1 y)))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (* -1 (sqrt (* x (pow y 3)))))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (sqrt (/ x (pow y 3))) (* -1 (sqrt (/ x y))))))) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (* -1 y))) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (* -1 (/ x y)))))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))))) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* -1 (pow y 3)))) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* (pow y 3) (- (/ 1 (pow y 3)) 1)))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (/ x y))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (/ (+ x (* -1 (/ x y))) y))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (/ (- (+ x (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (/ x y)) y))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (/ (- (+ x (* -1 (/ (+ (* -1 x) (* -1 (+ x (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ x y) (/ x (pow y 2))))) y))) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (/ x (pow y 2)))) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (/ (+ x (* -1 (/ x y))) (pow y 2)))) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (/ (- (+ x (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (/ x y)) (pow y 2)))) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (/ (- (+ x (* -1 (/ (+ (* -1 x) (* -1 (+ x (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ x y) (/ x (pow y 2))))) (pow y 2)))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) y))) y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ x (+ (* -1 x) (/ x y))) (+ (* -1 (/ x y)) (* 2 (/ x y)))) y))) y)))))) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y))))))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (* (- 1 y) (sqrt x)) #s(hole binary64 (* -1 (* y (+ (sqrt x) (* -1 (* (sqrt x) (/ 1 y)))))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* x (* (pow y 2) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (* x (pow (sqrt -1) 2)))))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (* (sqrt (* x (pow y 3))) (pow (sqrt -1) 2)))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (* -1 (* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2))) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) y))) y)))))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ x (+ (* -1 x) (/ x y))) (+ (* -1 (/ x y)) (* 2 (/ x y)))) y))) y)))))) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* -1 (* (pow y 3) (- 1 (/ 1 (pow y 3))))))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ x y)) y)))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) y))) y))) y)))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* 2 x)) y)))) y))) y))) y)))) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (/ (+ x (* -1 (/ (- (+ (* -1 (/ x y)) (/ x y)) (* -1 x)) y))) (pow y 2)))) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (/ (+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x y)) (* 2 (/ x y))) (+ x (* -1 x))) y)) (* -1 x)) y))) (pow y 2)))) |
| Outputs |
|---|
#s(approx (+ (* 0 y) (neg x)) #s(hole binary64 (* -1 x))) |
#s(approx (+ (* 0 y) (neg x)) (neg.f64 x)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (/ (* x (* y (- 1 (pow y 3)))) (+ 1 (+ y (pow y 2)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 y (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))) |
#s(approx (* (+ (* (+ (* 0 y) (neg x)) y) x) y) #s(hole binary64 (* x (* y (+ 1 (* -1 y)))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) #s(hole binary64 (* x (+ 1 (* -1 y))))) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
#s(approx (* (* (- 1 y) y) x) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (* (- 1 y) (sqrt x)) #s(hole binary64 (* (sqrt x) (- 1 y)))) |
#s(approx (* (- 1 y) (sqrt x)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt x) (sqrt.f64 x)) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (* (sqrt (* x y)) (- 1 y)))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (/ (* x (* y (- 1 (pow y 3)))) (+ 1 (+ y (pow y 2)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 y (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (/ (* x y) (+ 1 (+ y (pow y 2)))))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) (*.f64 (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) y)) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (+ (* 0 y) (neg x)) (neg.f64 x)) |
#s(approx (* (sqrt x) y) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (* (sqrt x) y) (*.f64 (sqrt.f64 x) y)) |
#s(approx (sqrt (* y x)) #s(hole binary64 (sqrt (* x y)))) |
#s(approx (sqrt (* y x)) (sqrt.f64 (*.f64 x y))) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (/ x (+ 1 (+ y (pow y 2)))))) |
#s(approx (/ x (- (+ (* y y) y) -1)) (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64)))) |
#s(approx (* (+ (* (+ (* 0 y) (neg x)) y) x) y) #s(hole binary64 (* -1 (* x (* y (- y 1)))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) #s(hole binary64 (* -1 (* x (- y 1))))) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
#s(approx (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) #s(hole binary64 (* -1 (* x (* y (* (pow (sqrt -1) 2) (- 1 y))))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (* (- 1 y) (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 y)))))) |
#s(approx (* (- 1 y) (sqrt x)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt x) (sqrt.f64 x)) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* -1 (* x (* y (* (pow (sqrt -1) 2) (- 1 y))))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (* -1 (* (sqrt (* x y)) (* (pow (sqrt -1) 2) (- 1 y)))))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (* (sqrt x) y) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))))) |
#s(approx (* (sqrt x) y) (*.f64 (sqrt.f64 x) y)) |
#s(approx (sqrt (* y x)) #s(hole binary64 (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (* y x)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* x y))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 x y)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* y (+ x (* -1 x))) (+ x (* -1 x)))) x)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (* (+ (* (+ (* 0 y) (neg x)) y) x) y) #s(hole binary64 (* x y))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 x y)) |
#s(approx (* (+ (* (+ (* 0 y) (neg x)) y) x) y) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) x) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) #s(hole binary64 (+ x (* -1 (* x y))))) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
#s(approx (* (* (- 1 y) y) x) #s(hole binary64 (* x y))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 x y)) |
#s(approx (* (* (- 1 y) y) x) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (* (- 1 y) y) #s(hole binary64 y)) |
#s(approx (* (- 1 y) y) y) |
#s(approx (* (- 1 y) y) #s(hole binary64 (* y (+ 1 (* -1 y))))) |
#s(approx (* (- 1 y) y) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) |
#s(approx (- 1 y) #s(hole binary64 1)) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(literal 1 binary64)) |
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (pow (cbrt (- 1 y)) 3) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) #s(hole binary64 (* x y))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 x y)) |
#s(approx (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (* (- 1 y) (sqrt x)) #s(hole binary64 (sqrt x))) |
#s(approx (* (- 1 y) (sqrt x)) (sqrt.f64 x)) |
#s(approx (* (- 1 y) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* -1 (* (sqrt x) y))))) |
#s(approx (* (- 1 y) (sqrt x)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* x y))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 x y)) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (sqrt (* x y)))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt.f64 (*.f64 x y))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (+ (sqrt (* x y)) (* -1 (sqrt (* x (pow y 3))))))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 1)) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(literal 1 binary64)) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (pow (cbrt (- 1 y)) 3) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (neg y) (neg.f64 y)) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* x y))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 x y)) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* y (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* y (+ x (* y (- (* y (- (* y (+ x (* -1 x))) (+ x (* -1 x)))) x)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 1)) |
#s(approx (- 1 (pow y 3)) #s(literal 1 binary64)) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (+ 1 (* -1 (pow y 3))))) |
#s(approx (- 1 (pow y 3)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) |
#s(approx (pow y 3) #s(hole binary64 (pow y 3))) |
#s(approx (pow y 3) (pow.f64 y #s(literal 3 binary64))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (* x y))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) (*.f64 x y)) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (* y (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x)))))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* y (+ (* -1 x) (* -1 (+ x (* -1 x)))))) (+ x (* -1 x)))) x)))))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) (*.f64 (fma.f64 (fma.f64 (*.f64 x y) y (neg.f64 x)) y x) y)) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 x)) |
#s(approx (/ x (- (+ (* y y) y) -1)) x) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (+ x (* -1 (* x y))))) |
#s(approx (/ x (- (+ (* y y) y) -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x))))) |
#s(approx (/ x (- (+ (* y y) y) -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (+ x (* y (- (* y (- (* -1 (* y (+ (* -1 x) (* -1 (+ x (* -1 x)))))) (+ x (* -1 x)))) x))))) |
#s(approx (/ x (- (+ (* y y) y) -1)) (fma.f64 (fma.f64 (*.f64 x y) y (neg.f64 x)) y x)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (neg.f64 y) x) y)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (* -1 (/ x y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (* (+ (* (+ (* 0 y) (neg x)) y) x) y) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 (*.f64 (neg.f64 y) x) y)) |
#s(approx (* (+ (* (+ (* 0 y) (neg x)) y) x) y) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) (*.f64 (neg.f64 y) x)) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ x y))))) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) (*.f64 (-.f64 (/.f64 x y) x) y)) |
#s(approx (* (* (- 1 y) y) x) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 (*.f64 (neg.f64 y) x) y)) |
#s(approx (* (* (- 1 y) y) x) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (* (- 1 y) y) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)) |
#s(approx (* (- 1 y) y) #s(hole binary64 (* (pow y 2) (- (/ 1 y) 1)))) |
#s(approx (* (- 1 y) y) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) y)) |
#s(approx (- 1 y) #s(hole binary64 (* -1 y))) |
#s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) |
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (pow (cbrt (- 1 y)) 3) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)) |
#s(approx (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 (*.f64 (neg.f64 y) x) y)) |
#s(approx (* (* (- 1 y) (sqrt x)) (* (sqrt x) y)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (* (- 1 y) (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) y)))) |
#s(approx (* (- 1 y) (sqrt x)) (*.f64 (sqrt.f64 x) (neg.f64 y))) |
#s(approx (* (- 1 y) (sqrt x)) #s(hole binary64 (* y (+ (* -1 (sqrt x)) (* (sqrt x) (/ 1 y)))))) |
#s(approx (* (- 1 y) (sqrt x)) (*.f64 (-.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y)) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 (*.f64 (neg.f64 y) x) y)) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (* -1 (sqrt (* x (pow y 3)))))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (neg.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (sqrt (/ x (pow y 3))) (* -1 (sqrt (/ x y))))))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (*.f64 (-.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 x y))) (*.f64 y y))) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (* -1 y))) |
#s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (pow (cbrt (- 1 y)) 3) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (neg.f64 y) x) y)) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (* -1 (/ x y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* -1 (pow y 3)))) |
#s(approx (- 1 (pow y 3)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* (pow y 3) (- (/ 1 (pow y 3)) 1)))) |
#s(approx (- 1 (pow y 3)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (/ x y))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) (/.f64 x y)) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (/ (+ x (* -1 (/ x y))) y))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) (/.f64 (-.f64 x (/.f64 x y)) y)) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (/ (- (+ x (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (/ x y)) y))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) (/.f64 (-.f64 x (/.f64 x y)) y)) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (/ (- (+ x (* -1 (/ (+ (* -1 x) (* -1 (+ x (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ x y) (/ x (pow y 2))))) y))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) (/.f64 (-.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) (/.f64 x y)) y)) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (/ x (pow y 2)))) |
#s(approx (/ x (- (+ (* y y) y) -1)) (/.f64 (/.f64 x y) y)) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (/ (+ x (* -1 (/ x y))) (pow y 2)))) |
#s(approx (/ x (- (+ (* y y) y) -1)) (/.f64 (/.f64 (-.f64 x (/.f64 x y)) y) y)) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (/ (- (+ x (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (/ x y)) (pow y 2)))) |
#s(approx (/ x (- (+ (* y y) y) -1)) (/.f64 (/.f64 (-.f64 x (/.f64 x y)) y) y)) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (/ (- (+ x (* -1 (/ (+ (* -1 x) (* -1 (+ x (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ x y) (/ x (pow y 2))))) (pow y 2)))) |
#s(approx (/ x (- (+ (* y y) y) -1)) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) (/.f64 x y)) y) y)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) y))) y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ x (+ (* -1 x) (/ x y))) (+ (* -1 (/ x y)) (* 2 (/ x y)))) y))) y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y))))))) |
#s(approx (+ (* (+ (* 0 y) (neg x)) y) x) (*.f64 (-.f64 (/.f64 x y) x) y)) |
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (pow (cbrt (- 1 y)) 3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))) |
#s(approx (* (- 1 y) (sqrt x)) #s(hole binary64 (* -1 (* y (+ (sqrt x) (* -1 (* (sqrt x) (/ 1 y)))))))) |
#s(approx (* (- 1 y) (sqrt x)) (*.f64 (-.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y)) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* x (* (pow y 2) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 (*.f64 (neg.f64 y) x) y)) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (* x (pow (sqrt -1) 2)))))) |
#s(approx (* (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (sqrt (* y x))) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (* (sqrt (* x (pow y 3))) (pow (sqrt -1) 2)))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (neg.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) #s(hole binary64 (* (pow y 2) (+ (* -1 (* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2))) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))) |
#s(approx (* (pow (cbrt (- 1 y)) 3) (sqrt (* y x))) (*.f64 (-.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 x y))) (*.f64 y y))) |
#s(approx (pow (cbrt (- 1 y)) 3) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
#s(approx (pow (cbrt (- 1 y)) 3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) y))) y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (* (- 1 (pow y 3)) (* y (/ x (- (+ (* y y) y) -1)))) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ x (+ (* -1 x) (/ x y))) (+ (* -1 (/ x y)) (* 2 (/ x y)))) y))) y)))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* -1 (* (pow y 3) (- 1 (/ 1 (pow y 3))))))) |
#s(approx (- 1 (pow y 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ x y)) y)))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) (/.f64 (-.f64 x (/.f64 x y)) y)) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) y))) y))) y)))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) (/.f64 (-.f64 x (/.f64 x y)) y)) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* 2 x)) y)))) y))) y))) y)))) |
#s(approx (* y (/ x (- (+ (* y y) y) -1))) (/.f64 (-.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) (/.f64 x y)) y)) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (/ (+ x (* -1 (/ (- (+ (* -1 (/ x y)) (/ x y)) (* -1 x)) y))) (pow y 2)))) |
#s(approx (/ x (- (+ (* y y) y) -1)) (/.f64 (/.f64 (-.f64 x (/.f64 x y)) y) y)) |
#s(approx (/ x (- (+ (* y y) y) -1)) #s(hole binary64 (/ (+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x y)) (* 2 (/ x y))) (+ x (* -1 x))) y)) (* -1 x)) y))) (pow y 2)))) |
#s(approx (/ x (- (+ (* y y) y) -1)) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) (/.f64 x y)) y) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 180 |
| 0 | 66 | 161 |
| 0 | 693 | 161 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(literal 0 binary64) y (neg.f64 x)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) y x) y)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) y x) y) |
(fma.f64 (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) y x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) |
(sqrt.f64 x) |
(*.f64 (*.f64 #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) |
(*.f64 #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) (sqrt.f64 (*.f64 y x))) |
#s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
(*.f64 y (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64)))) |
(neg.f64 x) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 (*.f64 y x)) |
(/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64))) (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64))) (cbrt.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)))) (cbrt.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)))) |
(pow.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 0 binary64) (neg.f64 x))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 0 binary64) y (neg.f64 x)) |
(cbrt.f64 (*.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) (+.f64 (neg.f64 x) #s(literal 0 binary64))) (+.f64 (neg.f64 x) #s(literal 0 binary64)))) |
(exp.f64 (log.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)))) |
(+.f64 (neg.f64 x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(log.f64 (exp.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)))) |
(*.f64 (sqrt.f64 #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y))) (sqrt.f64 #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y)))) |
(*.f64 (*.f64 (cbrt.f64 #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y))) (cbrt.f64 #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y)))) (cbrt.f64 #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y)))) |
(pow.f64 #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y)) #s(literal 1 binary64)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y)) |
(cbrt.f64 (*.f64 (*.f64 #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y)) #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y))) #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y)))) |
(exp.f64 (log.f64 #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y)))) |
(log.f64 (exp.f64 #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y)))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y)) (sqrt.f64 (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y)) (cbrt.f64 (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y))) (cbrt.f64 (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y))) |
(*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y) |
(*.f64 y (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x)) |
(pow.f64 (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y) #s(literal 1 binary64)) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y) (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y)) (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y))) |
(log.f64 (exp.f64 (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) y))) |
(*.f64 (sqrt.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x)) (sqrt.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x))) |
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(pow.f64 (*.f64 (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 x y) (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) y) (*.f64 (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) y)) (*.f64 (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) y))) |
(exp.f64 (log.f64 (*.f64 (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) y))) |
(log.f64 (exp.f64 (*.f64 (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) y))) |
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x))) |
(pow.f64 (neg.f64 x) #s(literal 1 binary64)) |
(neg.f64 x) |
(cbrt.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))) |
(exp.f64 (log.f64 (neg.f64 x))) |
(log.f64 (exp.f64 (neg.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 (*.f64 (sqrt.f64 x) y))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y)) (cbrt.f64 (*.f64 (sqrt.f64 x) y))) (cbrt.f64 (*.f64 (sqrt.f64 x) y))) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 y (sqrt.f64 x)) |
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) y))) |
(exp.f64 (log.f64 (*.f64 (sqrt.f64 x) y))) |
(log.f64 (exp.f64 (*.f64 (sqrt.f64 x) y))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (sqrt.f64 (*.f64 x y)))) |
(*.f64 (sqrt.f64 y) (sqrt.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) (cbrt.f64 (sqrt.f64 (*.f64 x y)))) (cbrt.f64 (sqrt.f64 (*.f64 x y)))) |
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) |
(cbrt.f64 (*.f64 (*.f64 x y) (sqrt.f64 (*.f64 x y)))) |
(sqrt.f64 (*.f64 x y)) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y)))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x y)))) |
(*.f64 (sqrt.f64 (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64)))) (cbrt.f64 (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))) (cbrt.f64 (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 (-.f64 (fma.f64 y y y) #s(literal -1 binary64)))) |
(/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) |
(cbrt.f64 (*.f64 (*.f64 (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64)))) (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))) |
(exp.f64 (log.f64 (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))) |
(log.f64 (exp.f64 (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))) |
Compiled 6 834 to 934 computations (86.3% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 288 | 4 | 292 |
| Fresh | 1 | 1 | 2 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 6 | 6 |
| Total | 293 | 12 | 305 |
| Status | Accuracy | Program |
|---|---|---|
| 98.6% | (*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) y)) | |
| 67.3% | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (*.f64 y (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))) | |
| ✓ | 99.4% | (*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | 40.5% | (*.f64 (*.f64 #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) |
| 62.7% | (*.f64 (*.f64 #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)) | |
| ✓ | 56.1% | (*.f64 (*.f64 x y) (/.f64 #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) (+.f64 #s(literal 1 binary64) y))) |
| ✓ | 99.9% | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | 62.8% | (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| 99.8% | #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 #s(approx (+ (* 0 y) (neg x)) (neg.f64 x)) y x) y)) | |
| ✓ | 55.9% | #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
| 68.4% | #s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x)) (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x))) y)) | |
| ✓ | 57.8% | #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
Compiled 670 to 270 computations (59.7% saved)
| Inputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 #s(approx (+ (* 0 y) (neg x)) (neg.f64 x)) y x) y)) |
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) y (neg.f64 x)) y x) y)) |
(*.f64 (*.f64 x y) #s(approx (/ (- 1 (* y y)) (+ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y))) |
(*.f64 (*.f64 x y) (/.f64 #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (*.f64 #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y)) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (*.f64 y (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (/.f64 x (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y x)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x) (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x)) (fma.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) y x))) y)) |
(*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 #s(approx (pow (cbrt (- 1 y)) 3) (neg.f64 y))) #s(literal 3 binary64))) |
(*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (*.f64 y x) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 x y) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
3 calls:
| 21.0ms | y |
| 18.0ms | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 #s(approx (+ (* 0 y) (neg x)) (neg.f64 x)) y x) y)) |
| Outputs |
|---|
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 #s(approx (+ (* 0 y) (neg x)) (neg.f64 x)) y x) y)) |
3 calls:
| 72.0ms | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| Outputs |
|---|
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
3 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.4% | 2 | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 72.3% | 2 | x |
| 98.4% | 3 | y |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
| Outputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
| Outputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.8% | 1 | x |
| 57.8% | 1 | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 57.8% | 1 | y |
Compiled 9 to 10 computations (-11.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 2.4733001151371666e-6 | 552439017.1671987 |
| 49.0ms | -123641.2931285949 | -0.10577854844724797 |
| 54.0ms | 304× | 0 | valid |
Compiled 409 to 353 computations (13.7% saved)
ival-mult: 7.0ms (51.7% of total)ival-sub: 5.0ms (36.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.4733001151371666e-6 | 552439017.1671987 |
| 1.0ms | -123641.2931285949 | -0.10577854844724797 |
Compiled 485 to 391 computations (19.4% saved)
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 112 |
| 1 | 160 | 110 |
| 2 | 265 | 110 |
| 3 | 571 | 110 |
| 4 | 1821 | 110 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 #s(approx (+ (* 0 y) (neg x)) (neg.f64 x)) y x) y)) |
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)))) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
| Outputs |
|---|
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 (pow y 3)) (* y x)) (+ (+ (* y y) y) 1)) (*.f64 (fma.f64 #s(approx (+ (* 0 y) (neg x)) (neg.f64 x)) y x) y)) |
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))))) |
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #s(approx (* (* x y) (- 1 y)) (*.f64 y x))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)))) |
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x))) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
| 1× | fuel |
Compiled 114 to 43 computations (62.3% saved)
(negabs x)
Compiled 270 to 122 computations (54.8% saved)
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