
Time bar (total: 6.9s)
| 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 8 to 7 computations (12.5% saved)
| 476.0ms | 8 256× | 0 | valid |
ival-mult: 164.0ms (66.3% of total)ival-exp: 75.0ms (30.3% of total)ival-true: 6.0ms (2.4% of total)ival-assert: 3.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 1 | (-4.861424633526641e+221 -1.3207695602888688e-110) | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x y) y) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 1 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 1 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 1 | 0 |
| - | 0 | 0 | 0 |
| 35.0ms | 512× | 0 | valid |
Compiled 42 to 19 computations (54.8% saved)
ival-exp: 8.0ms (54.2% of total)ival-mult: 7.0ms (47.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 38 |
| 1 | 48 | 34 |
| 2 | 145 | 34 |
| 3 | 405 | 34 |
| 4 | 1375 | 34 |
| 0 | 5 | 6 |
| 0 | 8 | 6 |
| 1 | 17 | 6 |
| 2 | 39 | 6 |
| 3 | 109 | 6 |
| 4 | 393 | 6 |
| 5 | 1869 | 6 |
| 6 | 5811 | 6 |
| 0 | 8404 | 6 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (*.f64 (*.f64 x y) y)) |
| Outputs |
|---|
(exp.f64 (*.f64 (*.f64 x y) y)) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(abs y)
Compiled 6 to 5 computations (16.7% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (exp.f64 (*.f64 (*.f64 x y) y)) |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) y) | |
| cost-diff | 0 | (exp.f64 (*.f64 (*.f64 x y) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 16 |
| 0 | 8 | 16 |
| 1 | 17 | 16 |
| 2 | 39 | 16 |
| 3 | 109 | 16 |
| 4 | 393 | 16 |
| 5 | 1869 | 16 |
| 6 | 5811 | 16 |
| 0 | 8404 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 (*.f64 x y) y)) |
(*.f64 (*.f64 x y) y) |
(*.f64 x y) |
x |
y |
| Outputs |
|---|
(exp.f64 (*.f64 (*.f64 x y) y)) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(*.f64 (*.f64 x y) y) |
(*.f64 (*.f64 y x) y) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.020036261784941275 | (exp.f64 (*.f64 (*.f64 x y) y)) | |
| accuracy | 0.109375 | (*.f64 (*.f64 x y) y) |
| 75.0ms | 256× | 0 | valid |
Compiled 18 to 7 computations (61.1% saved)
ival-exp: 63.0ms (93.9% of total)ival-mult: 3.0ms (4.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(exp.f64 (*.f64 (*.f64 x y) y)) |
(*.f64 (*.f64 x y) y) |
(*.f64 x y) |
| Outputs |
|---|
1 |
(+ 1 (* x (pow y 2))) |
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) |
(* x (pow y 2)) |
(* x y) |
(exp (* x (pow y 2))) |
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) |
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((exp (* (* x y) y)) (* (* x y) y) (* x y)) |
| 1.0ms | x | @ | 0 | ((exp (* (* x y) y)) (* (* x y) y) (* x y)) |
| 1.0ms | x | @ | inf | ((exp (* (* x y) y)) (* (* x y) y) (* x y)) |
| 1.0ms | x | @ | -inf | ((exp (* (* x y) y)) (* (* x y) y) (* x y)) |
| 1.0ms | y | @ | 0 | ((exp (* (* x y) y)) (* (* x y) y) (* x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 98 |
| 1 | 146 | 98 |
| 2 | 540 | 98 |
| 3 | 2319 | 98 |
| 4 | 6123 | 98 |
| 0 | 8176 | 87 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* x (pow y 2))) |
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) |
(* x (pow y 2)) |
(* x y) |
(exp (* x (pow y 2))) |
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) |
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 y y)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) x) y) |
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 y y)) x #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 0 | 8 | 14 |
| 1 | 17 | 14 |
| 2 | 60 | 14 |
| 3 | 382 | 14 |
| 4 | 5003 | 14 |
| 0 | 8650 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 (*.f64 x y) y)) |
(*.f64 (*.f64 x y) y) |
(*.f64 x y) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 y) x) (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) (/.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))) (/.f64 y #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) x)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) x)) (/.f64 y #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) x)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) x)) (/.f64 y #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (neg.f64 y) #s(literal 2 binary64))) (neg.f64 y)) (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (neg.f64 y) #s(literal 2 binary64))) (neg.f64 y))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 y) (/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 y) (/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x))) |
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) (cosh.f64 (*.f64 (*.f64 y x) y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (sinh.f64 (*.f64 (*.f64 y x) y)) (*.f64 #s(literal 4 binary64) (cosh.f64 (*.f64 (*.f64 y x) y)))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) y) (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) y)) |
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) y) (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) y)) |
(*.f64 (pow.f64 (exp.f64 x) (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (pow.f64 (exp.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 (*.f64 (*.f64 y x) y))) (*.f64 #s(literal 4 binary64) (sinh.f64 (*.f64 (*.f64 y x) y)))) #s(literal -1 binary64)) #s(literal 4 binary64)) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x))) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 6 binary64)))) (fma.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) #s(literal 2 binary64))) (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 2 binary64))) (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x)) (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64))))) (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 x (/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (exp.f64 y) (*.f64 x (/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x)))) (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x))))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))) (/.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 y) x)) (/.f64 y #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x))) (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x)))) |
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x)) (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) x)) |
(*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) #s(literal 2 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) #s(literal 2 binary64))))) |
(pow.f64 (pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 y #s(literal 2 binary64))) x) |
(pow.f64 (pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) y) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (neg.f64 y)) (/.f64 (neg.f64 y) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 (neg.f64 y)) (neg.f64 x)) y) |
(pow.f64 (pow.f64 (exp.f64 (neg.f64 y)) y) (neg.f64 x)) |
(pow.f64 (pow.f64 (exp.f64 (neg.f64 y)) x) (neg.f64 y)) |
(pow.f64 (pow.f64 (exp.f64 x) (exp.f64 (log.f64 y))) (exp.f64 (log.f64 y))) |
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) x) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) x) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y))) |
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y)) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 y #s(literal 2 binary64)) y)) |
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 y #s(literal 2 binary64)) x)) |
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) x))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (*.f64 (neg.f64 y) y)) (*.f64 x #s(literal -1 binary64))) |
(pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (/.f64 y #s(literal 2 binary64)) x)) |
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (/.f64 y #s(literal 2 binary64)) y)) |
(pow.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 y y) #s(literal -1 binary64))) |
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(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 y #s(literal 2 binary64)) x)) |
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 y #s(literal 2 binary64)) x)) |
(-.f64 (log.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (*.f64 y x)) #s(literal 2 binary64)))) (log.f64 (-.f64 (sinh.f64 (*.f64 y x)) (cosh.f64 (*.f64 y x))))) |
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y x))))) (log.f64 #s(literal 2 binary64))) |
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y x))))) (log.f64 #s(literal 2 binary64))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 y x)) #s(literal 3 binary64))))) (log.f64 (neg.f64 (-.f64 (cosh.f64 (*.f64 (+.f64 x x) y)) (*.f64 (sinh.f64 (*.f64 y x)) (cosh.f64 (*.f64 y x))))))) |
(-.f64 (log.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y x)))))) (log.f64 #s(literal 4 binary64))) |
(-.f64 (log.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y x)))))) (log.f64 #s(literal 4 binary64))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 (exp.f64 x) (neg.f64 y))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 y x)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 y x)) (cosh.f64 (*.f64 y x))))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 y x)) #s(literal 3 binary64)))) (log.f64 (-.f64 (cosh.f64 (*.f64 (+.f64 x x) y)) (*.f64 (sinh.f64 (*.f64 y x)) (cosh.f64 (*.f64 y x)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)) |
(+.f64 (log.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))))) (log.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))))) (log.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) x) (*.f64 (/.f64 y #s(literal 2 binary64)) x)) |
(log.f64 (pow.f64 (exp.f64 y) x)) |
Compiled 7 330 to 845 computations (88.5% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 281 | 2 | 283 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 281 | 3 | 284 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (exp.f64 (*.f64 (*.f64 x y) y)) |
| ▶ | 72.4% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) |
| ▶ | 54.5% | #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
Compiled 27 to 21 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 0 | 13 | 34 |
| 1 | 31 | 34 |
| 2 | 82 | 34 |
| 3 | 238 | 34 |
| 4 | 533 | 34 |
| 5 | 2022 | 34 |
| 6 | 5003 | 34 |
| 7 | 7567 | 34 |
| 0 | 8049 | 34 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(*.f64 y y) |
y |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(*.f64 y y) |
y |
x |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 2.6048755409721216 | (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) | |
| accuracy | 19.755799840814596 | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) | |
| accuracy | 29.147680066851535 | #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
| 16.0ms | 256× | 0 | valid |
Compiled 28 to 11 computations (60.7% saved)
ival-mult: 6.0ms (63.3% of total)ival-exp: 2.0ms (21.1% of total)ival-add: 1.0ms (10.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(*.f64 y y) |
| Outputs |
|---|
1 |
(+ 1 (* x (pow y 2))) |
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) |
(exp (* x (pow y 2))) |
(* x (pow y 2)) |
(* x (+ (/ 1 x) (pow y 2))) |
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x)))) |
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) |
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) |
(pow y 2) |
(* (pow y 2) (+ x (/ 1 (pow y 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y)) |
| 0.0ms | y | @ | -inf | ((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y)) |
| 0.0ms | x | @ | -inf | ((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y)) |
| 0.0ms | y | @ | 0 | ((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y)) |
| 0.0ms | x | @ | inf | ((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 127 |
| 1 | 176 | 127 |
| 2 | 627 | 127 |
| 3 | 2781 | 125 |
| 4 | 6828 | 125 |
| 0 | 8074 | 112 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* x (pow y 2))) |
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) |
(exp (* x (pow y 2))) |
(* x (pow y 2)) |
(* x (+ (/ 1 x) (pow y 2))) |
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x)))) |
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) |
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) |
(pow y 2) |
(* (pow y 2) (+ x (/ 1 (pow y 2)))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 y y)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64)) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) x) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (+ (/ 1 x) (pow y 2))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x)))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))) |
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 y y)) x #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ x (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 0 | 13 | 30 |
| 1 | 48 | 30 |
| 2 | 257 | 30 |
| 3 | 2467 | 30 |
| 0 | 8770 | 30 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(*.f64 y y) |
| Outputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64))) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64))) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64)) (*.f64 (*.f64 y y) x))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -2 binary64)))) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 x (fma.f64 (*.f64 y y) x #s(literal 1 binary64))))) (pow.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) #s(literal 2 binary64))) |
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(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (exp.f64 (log.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (pow.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fabs.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y x) y #s(literal 1 binary64)) |
(fma.f64 y (fabs.f64 (*.f64 (fabs.f64 x) y)) #s(literal 1 binary64)) |
(fma.f64 y (exp.f64 (log.f64 (*.f64 y x))) #s(literal 1 binary64)) |
(fma.f64 y (pow.f64 (*.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (fabs.f64 x) y) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 y y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 4 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3/2 binary64))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)))) |
(-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(+.f64 (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 y y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 y y)) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (/.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(log.f64 (pow.f64 (exp.f64 y) y)) |
Compiled 5 083 to 587 computations (88.5% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 147 | 5 | 152 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 1 | 1 |
| Total | 148 | 7 | 155 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (exp.f64 (*.f64 (*.f64 x y) y)) |
| ▶ | 67.1% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
| ▶ | 69.1% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
| ▶ | 61.8% | #s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64))) |
| ▶ | 21.0% | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))) |
| ▶ | 72.3% | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))) |
| ✓ | 54.5% | #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
Compiled 232 to 148 computations (36.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) x) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 y y) x)) | |
| cost-diff | 0 | #s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64))) | |
| cost-diff | 8 | (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) x) | |
| cost-diff | 0 | #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)) | |
| cost-diff | 0 | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 321 |
| 0 | 59 | 301 |
| 1 | 114 | 301 |
| 2 | 383 | 301 |
| 3 | 2097 | 301 |
| 4 | 6444 | 301 |
| 0 | 8478 | 301 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))) |
(neg.f64 x) |
x |
(-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))) |
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 y x) y #s(literal 1 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 1 binary64) |
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal 1 binary64) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) |
(*.f64 x x) |
x |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) |
#s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* y y) x) 1) (*.f64 (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(neg.f64 x) |
x |
(-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))) |
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 y x) y #s(literal 1 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 1 binary64) |
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y x) y #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal 1 binary64) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) y) y #s(literal 1 binary64)) x) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) y) y #s(literal 1 binary64)) x) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) |
(*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) y) y) y y)) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) y) y #s(literal 1 binary64)) x) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) |
(*.f64 x x) |
x |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.8518861117938403 | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64))) | |
| accuracy | 3.5345955443749872 | (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) | |
| accuracy | 4.44926671799961 | (*.f64 (*.f64 y y) x) | |
| accuracy | 4.726708634937057 | (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) | |
| accuracy | 0.056972509768442016 | (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64)) | |
| accuracy | 4.44926671799961 | (*.f64 (*.f64 y y) x) | |
| accuracy | 7.522369488691089 | #s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64))) | |
| accuracy | 12.919294237510192 | (sqrt.f64 (*.f64 (*.f64 y y) x)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.03515625 | (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) | |
| accuracy | 7.522369488691089 | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 4.44926671799961 | (*.f64 (*.f64 y y) x) | |
| accuracy | 7.522369488691089 | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))) | |
| accuracy | 18.335850629629608 | #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)) | |
| accuracy | 0.0 | #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 2.1481683344922358 | (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 7.522369488691089 | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))) |
| 48.0ms | 110× | 0 | invalid |
| 32.0ms | 146× | 0 | valid |
Compiled 237 to 34 computations (85.7% saved)
ival-div: 25.0ms (39.2% of total)ival-mult: 21.0ms (32.9% of total)ival-add: 6.0ms (9.4% of total)const: 3.0ms (4.7% of total)ival-exp: 2.0ms (3.1% of total)ival-sqrt: 2.0ms (3.1% of total)ival-neg: 2.0ms (3.1% of total)ival-sub: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))) |
(neg.f64 x) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))) |
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 y x) y #s(literal 1 binary64)) |
(*.f64 y x) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64)) |
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 (*.f64 y y) x)) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) |
(-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) |
| Outputs |
|---|
1 |
(+ 1 (* x (pow y 2))) |
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) |
(* -1 x) |
(* x (pow y 2)) |
(* x y) |
(* (sqrt x) y) |
(* x (+ y (* 1/2 (* x (pow y 3))))) |
(* x (+ y (* x (+ (* 1/6 (* x (pow y 5))) (* 1/2 (pow y 3)))))) |
x |
(* x (+ 1 (* 1/2 (* x (pow y 2))))) |
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2)))))) |
(/ -1 x) |
(/ (- (* -1 (* x (pow y 2))) 1) x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* 1/6 (* x (pow y 2))))) |
(exp (* x (pow y 2))) |
(* x (+ (/ 1 x) (pow y 2))) |
(* 1/6 (* (pow x 3) (pow y 6))) |
(* (pow x 3) (+ (* 1/6 (pow y 6)) (* 1/2 (/ (pow y 4) x)))) |
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (/ (pow y 2) (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2)))))) |
(* 1/6 (* (pow x 3) (pow y 5))) |
(* (pow x 3) (+ (* 1/6 (pow y 5)) (* 1/2 (/ (pow y 3) x)))) |
(* (pow x 3) (+ (* 1/6 (pow y 5)) (+ (* 1/2 (/ (pow y 3) x)) (/ y (pow x 2))))) |
(* 1/6 (* (pow x 3) (pow y 4))) |
(* (pow x 3) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2))))) |
(* -1 (pow y 2)) |
(- (* -1 (pow y 2)) (/ 1 x)) |
(* 1/6 (* (pow x 3) (pow y 2))) |
(* (pow x 3) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x)))) |
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x)))) |
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* (pow y 2) (pow (sqrt -1) 2)) (/ 1 x)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 4) x)) (* -1/6 (pow y 6))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)) x)) (* -1/6 (pow y 6))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))) x)) (* -1/6 (pow y 6))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 5))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 3)) (/ y x)) x)) (* -1/6 (pow y 5))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ 1 x)) x)) (* -1/6 (pow y 4))))) |
(* -1 (* (pow x 3) (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x))))) |
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) |
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) |
(pow y 2) |
(* y (+ x (* 1/2 (* (pow x 2) (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))) |
(+ x (* 1/2 (* (pow x 2) (pow y 2)))) |
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))) |
(+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))) |
(* (pow y 2) (+ x (/ 1 (pow y 2)))) |
(* (pow y 6) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4))))) |
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 4)))))) |
(* (pow y 5) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* (pow y 5) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4))))) |
(* (pow y 4) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* (pow y 4) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4))))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 (* x (pow y 2)))))) |
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* -1 (* (sqrt x) y)) |
(* -1 (* (pow y 5) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (neg x) (- (* (neg y) y) (/ 1 x))) (neg x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y y) x) (* y y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* y y) x)) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (- (* (neg y) y) (/ 1 x)) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2))) |
| 4.0ms | x | @ | inf | ((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (neg x) (- (* (neg y) y) (/ 1 x))) (neg x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y y) x) (* y y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* y y) x)) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (- (* (neg y) y) (/ 1 x)) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2))) |
| 3.0ms | y | @ | inf | ((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (neg x) (- (* (neg y) y) (/ 1 x))) (neg x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y y) x) (* y y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* y y) x)) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (- (* (neg y) y) (/ 1 x)) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2))) |
| 3.0ms | x | @ | 0 | ((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (neg x) (- (* (neg y) y) (/ 1 x))) (neg x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y y) x) (* y y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* y y) x)) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (- (* (neg y) y) (/ 1 x)) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2))) |
| 3.0ms | y | @ | -inf | ((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (neg x) (- (* (neg y) y) (/ 1 x))) (neg x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y y) x) (* y y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* y y) x)) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (- (* (neg y) y) (/ 1 x)) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 224 | 951 |
| 1 | 795 | 933 |
| 2 | 3329 | 907 |
| 0 | 8227 | 841 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* x (pow y 2))) |
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) |
(* -1 x) |
(* x (pow y 2)) |
(* x y) |
(* (sqrt x) y) |
(* x (+ y (* 1/2 (* x (pow y 3))))) |
(* x (+ y (* x (+ (* 1/6 (* x (pow y 5))) (* 1/2 (pow y 3)))))) |
x |
(* x (+ 1 (* 1/2 (* x (pow y 2))))) |
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2)))))) |
(/ -1 x) |
(/ (- (* -1 (* x (pow y 2))) 1) x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* 1/6 (* x (pow y 2))))) |
(exp (* x (pow y 2))) |
(* x (+ (/ 1 x) (pow y 2))) |
(* 1/6 (* (pow x 3) (pow y 6))) |
(* (pow x 3) (+ (* 1/6 (pow y 6)) (* 1/2 (/ (pow y 4) x)))) |
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (/ (pow y 2) (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2)))))) |
(* 1/6 (* (pow x 3) (pow y 5))) |
(* (pow x 3) (+ (* 1/6 (pow y 5)) (* 1/2 (/ (pow y 3) x)))) |
(* (pow x 3) (+ (* 1/6 (pow y 5)) (+ (* 1/2 (/ (pow y 3) x)) (/ y (pow x 2))))) |
(* 1/6 (* (pow x 3) (pow y 4))) |
(* (pow x 3) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2))))) |
(* -1 (pow y 2)) |
(- (* -1 (pow y 2)) (/ 1 x)) |
(* 1/6 (* (pow x 3) (pow y 2))) |
(* (pow x 3) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x)))) |
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x)))) |
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* (pow y 2) (pow (sqrt -1) 2)) (/ 1 x)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 4) x)) (* -1/6 (pow y 6))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)) x)) (* -1/6 (pow y 6))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))) x)) (* -1/6 (pow y 6))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 5))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 3)) (/ y x)) x)) (* -1/6 (pow y 5))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ 1 x)) x)) (* -1/6 (pow y 4))))) |
(* -1 (* (pow x 3) (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x))))) |
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) |
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) |
(pow y 2) |
(* y (+ x (* 1/2 (* (pow x 2) (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))) |
(+ x (* 1/2 (* (pow x 2) (pow y 2)))) |
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))) |
(+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))) |
(* (pow y 2) (+ x (/ 1 (pow y 2)))) |
(* (pow y 6) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4))))) |
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 4)))))) |
(* (pow y 5) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* (pow y 5) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4))))) |
(* (pow y 4) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* (pow y 4) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4))))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 (* x (pow y 2)))))) |
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* -1 (* (sqrt x) y)) |
(* -1 (* (pow y 5) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3)))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 y y)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* x (+ y (* 1/2 (* x (pow y 3))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal 3 binary64)) y) x) |
(* x (+ y (* x (+ (* 1/6 (* x (pow y 5))) (* 1/2 (pow y 3)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64))) x y) x) |
x |
(* x (+ 1 (* 1/2 (* x (pow y 2))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x #s(literal 1 binary64)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -1 (* x (pow y 2))) 1) x) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) y) y) #s(literal 1 binary64)) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (* 1/6 (* x (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) |
(exp (* x (pow y 2))) |
(pow.f64 (exp.f64 y) (*.f64 y x)) |
(* x (+ (/ 1 x) (pow y 2))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(* 1/6 (* (pow x 3) (pow y 6))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow y 6)) (* 1/2 (/ (pow y 4) x)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x)) x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2)))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/6 (* (pow x 3) (pow y 5))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 5 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow y 5)) (* 1/2 (/ (pow y 3) x)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow y 5)) (+ (* 1/2 (/ (pow y 3) x)) (/ y (pow x 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (/.f64 y x)) x)) (pow.f64 x #s(literal 3 binary64))) |
(* 1/6 (* (pow x 3) (pow y 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(- (* -1 (pow y 2)) (/ 1 x)) |
(-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)) |
(* 1/6 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) y) y) |
(* (pow x 3) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x)))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 y y) x) |
(* -1 (* x (- (* (pow y 2) (pow (sqrt -1) 2)) (/ 1 x)))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 4) x)) (* -1/6 (pow y 6))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)) x)) (* -1/6 (pow y 6))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x)) x)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))) x)) (* -1/6 (pow y 6))))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 6 binary64)) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (neg.f64 x)))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 5))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 3)) (/ y x)) x)) (* -1/6 (pow y 5))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (/.f64 y x)) x)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ 1 x)) x)) (* -1/6 (pow y 4))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x))))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y (/.f64 #s(literal -1/2 binary64) x))) |
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 y y)) x #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x #s(literal 1 binary64)) x) (*.f64 y y) #s(literal 1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(* y (+ x (* 1/2 (* (pow x 2) (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal 3 binary64)) y) x) |
(* y (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x #s(literal 1 binary64)) x) y) |
(+ x (* 1/2 (* (pow x 2) (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x #s(literal 1 binary64)) x) |
(+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) |
(* (pow y 2) (+ x (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(* (pow y 6) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4))))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 4)))))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 5) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4))))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 4) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4))))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 (* x (pow y 2)))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 y y))) |
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (*.f64 y y)) |
(* -1 (* (sqrt x) y)) |
(*.f64 (neg.f64 y) (sqrt.f64 x)) |
(* -1 (* (pow y 5) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3))))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 5 binary64))) |
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3)))))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 269 |
| 0 | 59 | 249 |
| 1 | 201 | 248 |
| 2 | 1333 | 239 |
| 0 | 8528 | 235 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))) |
(neg.f64 x) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))) |
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 y x) y #s(literal 1 binary64)) |
(*.f64 y x) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64)) |
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 (*.f64 y y) x)) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) |
(-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (-.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x)))) |
#s(approx (+ (* (* y y) x) 1) (*.f64 (-.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))) |
(*.f64 (-.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x)) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 x (neg.f64 (-.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64))))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (fma.f64 y y (pow.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 y y (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 y y (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 y y (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal 4 binary64)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (pow.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 y y (pow.f64 x #s(literal -1 binary64))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 y y (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 y y (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(-.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (pow.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))) (fma.f64 y y (pow.f64 x #s(literal -1 binary64))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) |
(*.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) #s(literal 1/4 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 1/8 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) #s(literal 1/4 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 1/8 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) #s(literal 1/4 binary64))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (pow.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)) (neg.f64 x)) (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)) x) x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
Compiled 28 704 to 3 202 computations (88.8% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 782 | 11 | 793 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 784 | 16 | 800 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 67.0% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y y) x) y) y #s(literal 1 binary64))) | |
| 67.0% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y y) x) y) y #s(literal 1 binary64))) | |
| ▶ | 69.8% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
| 76.6% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) y) y #s(literal 1 binary64))) | |
| 42.9% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (*.f64 y y))) (*.f64 y y) x) y) y #s(literal 1 binary64))) | |
| ▶ | 76.6% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64))) |
| ▶ | 77.3% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64))) |
| 76.1% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64))) | |
| ✓ | 69.1% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
| ✓ | 21.0% | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))) |
| ▶ | 17.7% | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))) |
| ▶ | 23.8% | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))) |
| ✓ | 72.3% | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))) |
| 54.3% | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) #s(approx (- (* (neg y) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) | |
| ✓ | 54.5% | #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
Compiled 765 to 462 computations (39.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y) | |
| cost-diff | 0 | #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)) | |
| cost-diff | 0 | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))) | |
| cost-diff | 4 | (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 (*.f64 y x) y) | |
| cost-diff | 0 | #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)) | |
| cost-diff | 0 | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 527 |
| 0 | 71 | 527 |
| 1 | 137 | 527 |
| 2 | 367 | 511 |
| 3 | 1564 | 511 |
| 4 | 5629 | 511 |
| 0 | 8567 | 507 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) |
x |
(*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))) |
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)) |
(*.f64 (*.f64 y x) y) |
(*.f64 y x) |
y |
x |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))) |
#s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) |
(*.f64 (*.f64 (*.f64 y y) x) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) |
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) |
x |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) |
x |
(*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))) |
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)) |
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y x) y) |
(*.f64 (*.f64 y y) x) |
(*.f64 y x) |
y |
x |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (fabs.f64 (*.f64 y x)) y))) |
#s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)) |
#s(approx (+ (* (* y y) x) 1) (*.f64 (fabs.f64 (*.f64 y x)) y)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y) |
(*.f64 (fabs.f64 (*.f64 y x)) y) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) |
(fabs.f64 (*.f64 y x)) |
(*.f64 (*.f64 (*.f64 y y) x) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) |
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) |
x |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y) x) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.1525184157175525 | (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) | |
| accuracy | 6.268433814130359 | (*.f64 (*.f64 y y) x) | |
| accuracy | 7.532655156285115 | (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) | |
| accuracy | 14.999194560424126 | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64))) | |
| accuracy | 2.1525184157175525 | (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) | |
| accuracy | 4.33353700462349 | (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) | |
| accuracy | 6.268433814130359 | (*.f64 (*.f64 y y) x) | |
| accuracy | 14.999194560424126 | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64))) | |
| accuracy | 6.268433814130359 | (*.f64 (*.f64 y y) x) | |
| accuracy | 18.6364872338326 | (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) | |
| accuracy | 19.755799840814596 | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))) | |
| accuracy | 45.14265858820825 | #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.109375 | (*.f64 (*.f64 y x) y) | |
| accuracy | 19.755799840814596 | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))) | |
| accuracy | 33.35529403967096 | #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)) | |
| accuracy | 1.6725869419294497 | (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) | |
| accuracy | 5.046391055193434 | (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) | |
| accuracy | 6.268433814130359 | (*.f64 (*.f64 y y) x) | |
| accuracy | 14.999194560424126 | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64))) |
| 78.0ms | 256× | 0 | valid |
Compiled 441 to 41 computations (90.7% saved)
ival-mult: 33.0ms (56.6% of total)ival-add: 15.0ms (25.7% of total)ival-exp: 4.0ms (6.9% of total)const: 4.0ms (6.9% of total)ival-sqrt: 2.0ms (3.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))) |
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)) |
(*.f64 (*.f64 y x) y) |
(*.f64 y x) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))) |
#s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) |
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) |
| Outputs |
|---|
1 |
(+ 1 (* x (pow y 2))) |
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) |
(* x y) |
(* x (+ y (* 1/2 (* x (pow y 3))))) |
(* x (+ y (* x (+ (* 1/6 (* x (pow y 5))) (* 1/2 (pow y 3)))))) |
x |
(* x (+ 1 (* 1/2 (* x (pow y 2))))) |
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2)))))) |
(* x (pow y 2)) |
(* 1/2 (* x (pow y 2))) |
(* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/6 (* x (pow y 2))))) |
(exp (* x (pow y 2))) |
(* 1/6 (* (pow x 3) (pow y 6))) |
(* (pow x 3) (+ (* 1/6 (pow y 6)) (* 1/2 (/ (pow y 4) x)))) |
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (/ (pow y 2) (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2)))))) |
(* 1/6 (* (pow x 3) (pow y 5))) |
(* (pow x 3) (+ (* 1/6 (pow y 5)) (* 1/2 (/ (pow y 3) x)))) |
(* (pow x 3) (+ (* 1/6 (pow y 5)) (+ (* 1/2 (/ (pow y 3) x)) (/ y (pow x 2))))) |
(* 1/6 (* (pow x 3) (pow y 4))) |
(* (pow x 3) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2))))) |
(* x (+ (/ 1 x) (pow y 2))) |
(* 1/6 (* (pow x 2) (pow y 4))) |
(* (pow x 2) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x)))) |
(* 1/6 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x)))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 4) x)) (* -1/6 (pow y 6))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)) x)) (* -1/6 (pow y 6))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))) x)) (* -1/6 (pow y 6))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 5))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 3)) (/ y x)) x)) (* -1/6 (pow y 5))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ 1 x)) x)) (* -1/6 (pow y 4))))) |
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x)))) |
(* -1 (* x y)) |
(* -1 (* x (pow y 2))) |
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) |
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) |
(* y (+ x (* 1/2 (* (pow x 2) (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))) |
(+ x (* 1/2 (* (pow x 2) (pow y 2)))) |
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))) |
(* (pow y 2) (+ (* 1/6 (* (pow x 2) (pow y 2))) (* 1/2 x))) |
(+ (* 1/6 (* (pow x 2) (pow y 2))) (* 1/2 x)) |
(* (pow y 6) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4))))) |
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 4)))))) |
(* (pow y 5) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* (pow y 5) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4))))) |
(* (pow y 4) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* (pow y 4) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4))))) |
(* (pow y 2) (+ x (/ 1 (pow y 2)))) |
(* (pow y 4) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x (pow y 2))))) |
(* (pow y 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x (pow y 2))))) |
(* -1 (* (pow y 5) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | 0 | ((exp (* (* x y) y)) (+ (* (* (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) y) y) 1) (* (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) y) (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) (sqrt (* (* (* y y) x) x)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (sqrt (* (* (* y y) x) x)) y) (exp (* (* x y) y)) (+ (* (* (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) y) y) 1) (* (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) y) (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) y) y) 1) (* (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) y) (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) (* (* y y) x) (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y)) (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y)) (* (+ (* 1/6 (* (* y y) x)) 1/2) x)) |
| 2.0ms | x | @ | -inf | ((exp (* (* x y) y)) (+ (* (* (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) y) y) 1) (* (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) y) (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) (sqrt (* (* (* y y) x) x)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (sqrt (* (* (* y y) x) x)) y) (exp (* (* x y) y)) (+ (* (* (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) y) y) 1) (* (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) y) (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) y) y) 1) (* (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) y) (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) (* (* y y) x) (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y)) (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y)) (* (+ (* 1/6 (* (* y y) x)) 1/2) x)) |
| 2.0ms | y | @ | -inf | ((exp (* (* x y) y)) (+ (* (* (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) y) y) 1) (* (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) y) (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) (sqrt (* (* (* y y) x) x)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (sqrt (* (* (* y y) x) x)) y) (exp (* (* x y) y)) (+ (* (* (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) y) y) 1) (* (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) y) (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) y) y) 1) (* (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) y) (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) (* (* y y) x) (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y)) (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y)) (* (+ (* 1/6 (* (* y y) x)) 1/2) x)) |
| 2.0ms | y | @ | inf | ((exp (* (* x y) y)) (+ (* (* (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) y) y) 1) (* (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) y) (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) (sqrt (* (* (* y y) x) x)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (sqrt (* (* (* y y) x) x)) y) (exp (* (* x y) y)) (+ (* (* (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) y) y) 1) (* (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) y) (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) y) y) 1) (* (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) y) (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) (* (* y y) x) (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y)) (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y)) (* (+ (* 1/6 (* (* y y) x)) 1/2) x)) |
| 2.0ms | x | @ | inf | ((exp (* (* x y) y)) (+ (* (* (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) y) y) 1) (* (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) y) (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) (sqrt (* (* (* y y) x) x)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (sqrt (* (* (* y y) x) x)) y) (exp (* (* x y) y)) (+ (* (* (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) y) y) 1) (* (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) y) (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) y) y) 1) (* (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) y) (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) (* (* y y) x) (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y)) (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y)) (* (+ (* 1/6 (* (* y y) x)) 1/2) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 211 | 946 |
| 1 | 777 | 932 |
| 2 | 3168 | 904 |
| 0 | 8519 | 836 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* x (pow y 2))) |
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) |
(* x y) |
(* x (+ y (* 1/2 (* x (pow y 3))))) |
(* x (+ y (* x (+ (* 1/6 (* x (pow y 5))) (* 1/2 (pow y 3)))))) |
x |
(* x (+ 1 (* 1/2 (* x (pow y 2))))) |
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2)))))) |
(* x (pow y 2)) |
(* 1/2 (* x (pow y 2))) |
(* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/6 (* x (pow y 2))))) |
(exp (* x (pow y 2))) |
(* 1/6 (* (pow x 3) (pow y 6))) |
(* (pow x 3) (+ (* 1/6 (pow y 6)) (* 1/2 (/ (pow y 4) x)))) |
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (/ (pow y 2) (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2)))))) |
(* 1/6 (* (pow x 3) (pow y 5))) |
(* (pow x 3) (+ (* 1/6 (pow y 5)) (* 1/2 (/ (pow y 3) x)))) |
(* (pow x 3) (+ (* 1/6 (pow y 5)) (+ (* 1/2 (/ (pow y 3) x)) (/ y (pow x 2))))) |
(* 1/6 (* (pow x 3) (pow y 4))) |
(* (pow x 3) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2))))) |
(* x (+ (/ 1 x) (pow y 2))) |
(* 1/6 (* (pow x 2) (pow y 4))) |
(* (pow x 2) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x)))) |
(* 1/6 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x)))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 4) x)) (* -1/6 (pow y 6))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)) x)) (* -1/6 (pow y 6))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))) x)) (* -1/6 (pow y 6))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 5))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 3)) (/ y x)) x)) (* -1/6 (pow y 5))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ 1 x)) x)) (* -1/6 (pow y 4))))) |
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x)))) |
(* -1 (* x y)) |
(* -1 (* x (pow y 2))) |
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) |
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) |
(* y (+ x (* 1/2 (* (pow x 2) (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))) |
(+ x (* 1/2 (* (pow x 2) (pow y 2)))) |
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))) |
(* (pow y 2) (+ (* 1/6 (* (pow x 2) (pow y 2))) (* 1/2 x))) |
(+ (* 1/6 (* (pow x 2) (pow y 2))) (* 1/2 x)) |
(* (pow y 6) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4))))) |
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 4)))))) |
(* (pow y 5) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* (pow y 5) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4))))) |
(* (pow y 4) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* (pow y 4) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4))))) |
(* (pow y 2) (+ x (/ 1 (pow y 2)))) |
(* (pow y 4) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x (pow y 2))))) |
(* (pow y 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x (pow y 2))))) |
(* -1 (* (pow y 5) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3)))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 y y)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 1/2 (* x (pow y 3))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) y) x) |
(* x (+ y (* x (+ (* 1/6 (* x (pow y 5))) (* 1/2 (pow y 3)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64))) x y) x) |
x |
(* x (+ 1 (* 1/2 (* x (pow y 2))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x #s(literal 1 binary64)) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* 1/2 (* x (pow y 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x)) |
(* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) |
(exp (* x (pow y 2))) |
(pow.f64 (exp.f64 y) (*.f64 y x)) |
(* 1/6 (* (pow x 3) (pow y 6))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow y 6)) (* 1/2 (/ (pow y 4) x)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x)) x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2)))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/6 (* (pow x 3) (pow y 5))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 5 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow y 5)) (* 1/2 (/ (pow y 3) x)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow y 5)) (+ (* 1/2 (/ (pow y 3) x)) (/ y (pow x 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (/.f64 y x)) x)) (pow.f64 x #s(literal 3 binary64))) |
(* 1/6 (* (pow x 3) (pow y 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64))) |
(* x (+ (/ 1 x) (pow y 2))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(* 1/6 (* (pow x 2) (pow y 4))) |
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) x) x) |
(* 1/6 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) x) x) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 4) x)) (* -1/6 (pow y 6))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)) x)) (* -1/6 (pow y 6))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x)) x)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))) x)) (* -1/6 (pow y 6))))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 6 binary64)) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (neg.f64 x)))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 5))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 3)) (/ y x)) x)) (* -1/6 (pow y 5))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (/.f64 y x)) x)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ 1 x)) x)) (* -1/6 (pow y 4))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x)))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y x)) |
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 y y)) x #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x #s(literal 1 binary64)) x) (*.f64 y y) #s(literal 1 binary64)) |
(* y (+ x (* 1/2 (* (pow x 2) (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) y) x) |
(* y (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x #s(literal 1 binary64)) x) y) |
(+ x (* 1/2 (* (pow x 2) (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x #s(literal 1 binary64)) x) |
(* (pow y 2) (+ (* 1/6 (* (pow x 2) (pow y 2))) (* 1/2 x))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) |
(+ (* 1/6 (* (pow x 2) (pow y 2))) (* 1/2 x)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) |
(* (pow y 6) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4))))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 4)))))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 5) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4))))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 4) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4))))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 2) (+ x (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(* (pow y 4) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x (pow y 2))))) |
(*.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x (pow y 2))))) |
(*.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (*.f64 y y)) |
(* -1 (* (pow y 5) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3))))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (pow.f64 y #s(literal 5 binary64))) |
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3)))))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 406 |
| 0 | 71 | 406 |
| 1 | 238 | 402 |
| 2 | 1376 | 378 |
| 0 | 8303 | 362 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))) |
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)) |
(*.f64 (*.f64 y x) y) |
(*.f64 y x) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))) |
#s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) |
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) |
| Outputs |
|---|
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) y) y #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) y) y #s(literal 1 binary64)) #s(literal 1 binary64)) |
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(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) x)) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) x) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))) |
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64)))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))) x (*.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) x)) |
(fma.f64 x (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))) (*.f64 x (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))))) |
(fma.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))) |
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) x) (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x)) |
(-.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))) x) (*.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))) x)) |
(+.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64)))))) (*.f64 x (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) x) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) x)) |
(+.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))) |
Compiled 19 633 to 2 108 computations (89.3% saved)
16 alts after pruning (8 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 396 | 5 | 401 |
| Fresh | 3 | 3 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 401 | 16 | 417 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 67.0% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y y) x) y) y #s(literal 1 binary64))) | |
| 76.0% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) x) (*.f64 y y) x) y) y #s(literal 1 binary64))) | |
| 42.9% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (*.f64 y y))) (*.f64 y y) x) y) y #s(literal 1 binary64))) | |
| 76.6% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) x) x)) (*.f64 y y)) x) y) y #s(literal 1 binary64))) | |
| 76.4% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) (*.f64 y y)) x) y) y #s(literal 1 binary64))) | |
| 76.1% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) x) y) y #s(literal 1 binary64))) | |
| ✓ | 77.3% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64))) |
| ✓ | 69.1% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
| 20.3% | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (*.f64 x x)))) y))) | |
| ✓ | 21.0% | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))) |
| ✓ | 17.7% | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))) |
| ✓ | 23.8% | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))) |
| ✓ | 72.3% | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))) |
| 54.3% | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) #s(approx (- (* (neg y) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) | |
| ✓ | 54.5% | #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
Compiled 1 105 to 434 computations (60.7% saved)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) #s(approx (- (* (neg y) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (*.f64 x x)))) y))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) (*.f64 y y)) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) x) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) x) x)) (*.f64 y y)) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (*.f64 y y))) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 x y) y)) |
| Outputs |
|---|
(exp.f64 (*.f64 (*.f64 x y) y)) |
4 calls:
| 38.0ms | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 7.0ms | y |
| 7.0ms | x |
| 7.0ms | (*.f64 (*.f64 x y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 100.0% | 1 | (*.f64 (*.f64 x y) y) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) #s(approx (- (* (neg y) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (*.f64 x x)))) y))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) (*.f64 y y)) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) x) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) x) x)) (*.f64 y y)) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (*.f64 y y))) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64))) |
4 calls:
| 13.0ms | (*.f64 (*.f64 x y) y) |
| 7.0ms | x |
| 7.0ms | y |
| 6.0ms | (exp.f64 (*.f64 (*.f64 x y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.3% | 1 | x |
| 77.3% | 1 | y |
| 77.3% | 1 | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 77.3% | 1 | (*.f64 (*.f64 x y) y) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) #s(approx (- (* (neg y) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (*.f64 x x)))) y))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) (*.f64 y y)) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) x) (*.f64 y y) x) y) y #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) (*.f64 y y)) x) y) y #s(literal 1 binary64))) |
4 calls:
| 88.0ms | x |
| 5.0ms | y |
| 4.0ms | (*.f64 (*.f64 x y) y) |
| 4.0ms | (exp.f64 (*.f64 (*.f64 x y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.4% | 1 | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 76.4% | 1 | (*.f64 (*.f64 x y) y) |
| 76.4% | 1 | x |
| 76.4% | 1 | y |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) #s(approx (- (* (neg y) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (*.f64 x x)))) y))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64))) |
4 calls:
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (*.f64 (*.f64 x y) y) |
| 3.0ms | (exp.f64 (*.f64 (*.f64 x y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.1% | 1 | x |
| 76.1% | 1 | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 76.1% | 1 | (*.f64 (*.f64 x y) y) |
| 76.1% | 1 | y |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) #s(approx (- (* (neg y) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))) |
| Outputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))) |
4 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (*.f64 (*.f64 x y) y) |
| 2.0ms | (exp.f64 (*.f64 (*.f64 x y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.4% | 1 | x |
| 75.0% | 2 | (*.f64 (*.f64 x y) y) |
| 75.0% | 2 | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 72.4% | 1 | y |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) #s(approx (- (* (neg y) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))) |
| Outputs |
|---|
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) |
3 calls:
| 19.0ms | (*.f64 (*.f64 x y) y) |
| 3.0ms | y |
| 2.0ms | (exp.f64 (*.f64 (*.f64 x y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.4% | 1 | y |
| 72.4% | 1 | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 72.4% | 1 | (*.f64 (*.f64 x y) y) |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))) |
4 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 x y) y) |
| 2.0ms | (exp.f64 (*.f64 (*.f64 x y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.5% | 2 | (*.f64 (*.f64 x y) y) |
| 69.1% | 1 | x |
| 72.5% | 2 | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 72.4% | 2 | y |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))) |
| Outputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))) |
4 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (*.f64 (*.f64 x y) y) |
| 1.0ms | (exp.f64 (*.f64 (*.f64 x y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.4% | 2 | x |
| 67.2% | 2 | y |
| 69.2% | 2 | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 69.2% | 2 | (*.f64 (*.f64 x y) y) |
Compiled 13 to 13 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
4 calls:
| 11.0ms | y |
| 1.0ms | x |
| 1.0ms | (*.f64 (*.f64 x y) y) |
| 1.0ms | (exp.f64 (*.f64 (*.f64 x y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.5% | 1 | x |
| 54.5% | 1 | y |
| 54.5% | 1 | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 54.5% | 1 | (*.f64 (*.f64 x y) y) |
Compiled 13 to 13 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000000000162 | +inf |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000000000162 | +inf |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6313153075588304e-14 | 8082853095.5750265 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 253 |
| 1 | 109 | 253 |
| 2 | 321 | 253 |
| 3 | 1682 | 253 |
| 4 | 4891 | 253 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (*.f64 (*.f64 x y) y)) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) (*.f64 y y)) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64))) |
(if (<=.f64 (exp.f64 (*.f64 (*.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) |
(if (<=.f64 (exp.f64 (*.f64 (*.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)))) |
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (*.f64 x y) y)) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) (*.f64 y y)) x) y) y #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64))) |
(if (<=.f64 (exp.f64 (*.f64 (*.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) |
(if (<=.f64 (exp.f64 (*.f64 (*.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)))) |
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 224 | 951 |
| 1 | 795 | 933 |
| 2 | 3329 | 907 |
| 0 | 8227 | 841 |
| 0 | 44 | 98 |
| 1 | 146 | 98 |
| 2 | 540 | 98 |
| 3 | 2319 | 98 |
| 4 | 6123 | 98 |
| 0 | 8176 | 87 |
| 0 | 211 | 946 |
| 1 | 777 | 932 |
| 2 | 3168 | 904 |
| 0 | 8519 | 836 |
| 0 | 54 | 127 |
| 1 | 176 | 127 |
| 2 | 627 | 127 |
| 3 | 2781 | 125 |
| 4 | 6828 | 125 |
| 0 | 8074 | 112 |
| 0 | 36 | 269 |
| 0 | 59 | 249 |
| 1 | 201 | 248 |
| 2 | 1333 | 239 |
| 0 | 8528 | 235 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 382 to 185 computations (51.6% saved)
(abs y)
Compiled 542 to 166 computations (69.4% saved)
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