
Time bar (total: 5.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 429.0ms | 8 256× | 0 | valid |
ival-mult: 190.0ms (76.7% of total)ival-sub: 43.0ms (17.4% of total)ival-true: 6.0ms (2.4% of total)exact: 5.0ms (2% of total)ival-assert: 3.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 x y)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 24.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-mult: 8.0ms (67.7% of total)ival-sub: 2.0ms (16.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 37 |
| 1 | 59 | 37 |
| 2 | 125 | 35 |
| 3 | 339 | 35 |
| 4 | 634 | 35 |
| 5 | 843 | 35 |
| 6 | 1152 | 35 |
| 7 | 1649 | 35 |
| 8 | 2227 | 35 |
| 9 | 2594 | 35 |
| 10 | 4705 | 35 |
| 11 | 5509 | 35 |
| 12 | 5903 | 35 |
| 13 | 6429 | 35 |
| 14 | 6799 | 35 |
| 15 | 7287 | 35 |
| 16 | 7663 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 18 | 7 |
| 2 | 38 | 7 |
| 3 | 89 | 7 |
| 4 | 263 | 7 |
| 5 | 460 | 7 |
| 6 | 656 | 7 |
| 7 | 983 | 7 |
| 8 | 1132 | 7 |
| 9 | 1351 | 7 |
| 10 | 2403 | 7 |
| 11 | 3075 | 7 |
| 12 | 4187 | 7 |
| 13 | 5798 | 7 |
| 14 | 6577 | 7 |
| 15 | 7658 | 7 |
| 0 | 8033 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x y)) | |
| cost-diff | 0 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 18 | 18 |
| 2 | 38 | 18 |
| 3 | 89 | 18 |
| 4 | 263 | 18 |
| 5 | 460 | 18 |
| 6 | 656 | 18 |
| 7 | 983 | 18 |
| 8 | 1132 | 18 |
| 9 | 1351 | 18 |
| 10 | 2403 | 18 |
| 11 | 3075 | 18 |
| 12 | 4187 | 18 |
| 13 | 5798 | 18 |
| 14 | 6577 | 18 |
| 15 | 7658 | 18 |
| 0 | 8033 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
#s(literal 1 binary64) |
(*.f64 x y) |
y |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
#s(literal 1 binary64) |
(*.f64 x y) |
(*.f64 y x) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x y)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.07421875 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 11.0ms | 256× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-mult: 3.0ms (60.4% of total)ival-sub: 1.0ms (20.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 x y) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* x y))) |
(* x y) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* x (- (/ 1 x) y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(+ x (* -1 (* (pow x 2) y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (- (/ 1 y) x)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* y (+ (* -1 x) (/ 1 y))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1.0ms | x | @ | -inf | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1.0ms | x | @ | inf | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1.0ms | x | @ | 0 | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1.0ms | y | @ | inf | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 85 |
| 1 | 114 | 75 |
| 2 | 267 | 75 |
| 3 | 800 | 75 |
| 4 | 3587 | 75 |
| 0 | 8224 | 75 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* x y))) |
(* x y) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* x (- (/ 1 x) y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(+ x (* -1 (* (pow x 2) y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (- (/ 1 y) x)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* y (+ (* -1 x) (/ 1 y))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 x) (*.f64 y x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 32 | 15 |
| 2 | 199 | 15 |
| 3 | 1662 | 15 |
| 0 | 9381 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (+.f64 (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (pow.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 x (neg.f64 x)) y)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 x)) y)))))) |
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (pow.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y x #s(literal 1 binary64)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) |
(*.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)) (*.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x x) y))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 x (neg.f64 x)) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 x)) y)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x))) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 x (neg.f64 x)) y))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 x)) y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)))) |
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (*.f64 x (neg.f64 x)) y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 x)) y)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))) |
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(-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 y)) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64)))) (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(+.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)) |
(+.f64 (*.f64 y x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) x) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (neg.f64 x)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (neg.f64 y)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 y)) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (fabs.f64 x)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (fabs.f64 y)) |
(*.f64 (fabs.f64 (*.f64 y #s(literal -1 binary64))) (fabs.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) x) (neg.f64 y))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64))) (sqrt.f64 (*.f64 y x))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) x) (neg.f64 x))) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) x) y)) (sqrt.f64 (neg.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 y) (*.f64 x x))) (sqrt.f64 (fabs.f64 y))) |
(*.f64 (sqrt.f64 (fabs.f64 y)) (sqrt.f64 (*.f64 (fabs.f64 y) (*.f64 x x)))) |
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 y) (*.f64 y x))) (sqrt.f64 (fabs.f64 x))) |
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (*.f64 (fabs.f64 y) (*.f64 y x)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x (neg.f64 x)) y)) (sqrt.f64 (neg.f64 y))) |
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 x (neg.f64 x)) y))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 y (*.f64 (neg.f64 y) x)))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x))) |
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)))) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 x x) y))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x)))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 y y) x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (fabs.f64 y) (fabs.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 y)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y x) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 x y) |
(pow.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fabs.f64 (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fabs.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y x)))))) |
(neg.f64 (*.f64 (neg.f64 y) x)) |
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(fabs.f64 (-.f64 (*.f64 y x) #s(literal 0 binary64))) |
(fabs.f64 (*.f64 (neg.f64 y) x)) |
(fabs.f64 (*.f64 y x)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 y x))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 y x))) (sinh.f64 (log.f64 (*.f64 y x)))) |
Compiled 15 139 to 1 598 computations (89.4% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 524 | 9 | 533 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 525 | 9 | 534 |
| Status | Accuracy | Program |
|---|---|---|
| 99.9% | (fma.f64 (*.f64 (neg.f64 y) x) x x) | |
| ▶ | 91.5% | (fma.f64 (*.f64 x (neg.f64 x)) y x) |
| 64.5% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) | |
| ▶ | 75.9% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
| ▶ | 99.9% | (-.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x))) |
| 53.4% | (*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64))) | |
| ▶ | 57.2% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))))) |
| 51.4% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) | |
| ▶ | 50.7% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
Compiled 208 to 142 computations (31.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (*.f64 y x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) | |
| cost-diff | 7552 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 y x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))) | |
| cost-diff | 0 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))))) | |
| cost-diff | 1920 | (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 x (neg.f64 x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (neg.f64 x)) y x) | |
| cost-diff | 0 | #s(approx (- 1 (* x y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (-.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x))) | |
| cost-diff | 256 | (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 148 |
| 0 | 44 | 125 |
| 1 | 97 | 119 |
| 2 | 228 | 119 |
| 3 | 808 | 119 |
| 4 | 2350 | 119 |
| 5 | 4438 | 119 |
| 6 | 6212 | 119 |
| 0 | 8292 | 119 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x))) |
x |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)) |
(neg.f64 x) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
x |
#s(approx (- 1 (* x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x (neg.f64 x)) y x) |
(*.f64 x (neg.f64 x)) |
x |
(neg.f64 x) |
y |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))) |
(sqrt.f64 (*.f64 y x)) |
(*.f64 y x) |
y |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(fma.f64 y x #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
x |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 x x) y) |
(neg.f64 x) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) |
x |
#s(approx (- 1 (* x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x (neg.f64 x)) y x) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(*.f64 x (neg.f64 x)) |
(*.f64 (neg.f64 x) x) |
x |
(neg.f64 x) |
y |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))) |
(*.f64 y x) |
(sqrt.f64 (*.f64 y x)) |
(*.f64 y x) |
y |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(fma.f64 y x #s(literal 1 binary64)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.12728500976844204 | (pow.f64 (*.f64 y x) #s(literal 2 binary64)) | |
| accuracy | 0.2360429118479451 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) | |
| accuracy | 6.148757117728075 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.046875 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))))) | |
| accuracy | 0.234375 | (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))) | |
| accuracy | 6.021797973730381 | (sqrt.f64 (*.f64 y x)) | |
| accuracy | 0 | (*.f64 x (neg.f64 x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 2.7970609199949634 | (fma.f64 (*.f64 x (neg.f64 x)) y x) | |
| accuracy | 0.046875 | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) | |
| accuracy | 17.154493354727652 | #s(approx (- 1 (* x y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 (neg.f64 y) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.078125 | (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)) |
| 38.0ms | 122× | 0 | invalid |
| 23.0ms | 134× | 0 | valid |
Compiled 297 to 53 computations (82.2% saved)
ival-mult: 17.0ms (52.2% of total)ival-sub: 5.0ms (15.3% of total)ival-div: 2.0ms (6.1% of total)ival-add: 2.0ms (6.1% of total)ival-sqrt: 2.0ms (6.1% of total)ival-pow2: 2.0ms (6.1% of total)ival-neg: 2.0ms (6.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)) |
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x))) |
(neg.f64 x) |
(*.f64 (neg.f64 y) x) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (- 1 (* x y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (neg.f64 x)) y x) |
(*.f64 x (neg.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))) |
(sqrt.f64 (*.f64 y x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(neg.f64 y) |
(*.f64 y x) |
| Outputs |
|---|
(* (pow x 2) y) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 x) |
(* -1 (* x y)) |
1 |
(+ 1 (* -1 (* x y))) |
(* -1 (pow x 2)) |
(* x y) |
(sqrt (* x y)) |
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2))))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(* (pow x 2) (pow y 2)) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (- (/ 1 x) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* x (- (/ 1 x) y)) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (* x (* y (pow (sqrt -1) 2)))) |
(* (pow x 2) (* y (pow (sqrt -1) 2))) |
(* (pow x 2) (+ (* y (pow (sqrt -1) 2)) (/ 1 x))) |
(* x (* y (pow (sqrt -1) 2))) |
(* x (+ (* y (pow (sqrt -1) 2)) (/ 1 x))) |
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(* -1 y) |
(* y (- (/ x y) (pow x 2))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (- (/ 1 y) x)) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ x y))))) |
(* y (+ (* x (pow (sqrt -1) 2)) (/ 1 y))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((* (neg x) (* (neg y) x)) (- x (* (neg x) (* (neg y) x))) (neg x) (* (neg y) x) (* x (- 1 (* x y))) (- 1 (* x y)) (+ (* (* x (neg x)) y) x) (* x (neg x)) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (neg y) (* y x)) |
| 4.0ms | x | @ | inf | ((* (neg x) (* (neg y) x)) (- x (* (neg x) (* (neg y) x))) (neg x) (* (neg y) x) (* x (- 1 (* x y))) (- 1 (* x y)) (+ (* (* x (neg x)) y) x) (* x (neg x)) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (neg y) (* y x)) |
| 3.0ms | y | @ | -inf | ((* (neg x) (* (neg y) x)) (- x (* (neg x) (* (neg y) x))) (neg x) (* (neg y) x) (* x (- 1 (* x y))) (- 1 (* x y)) (+ (* (* x (neg x)) y) x) (* x (neg x)) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (neg y) (* y x)) |
| 3.0ms | x | @ | 0 | ((* (neg x) (* (neg y) x)) (- x (* (neg x) (* (neg y) x))) (neg x) (* (neg y) x) (* x (- 1 (* x y))) (- 1 (* x y)) (+ (* (* x (neg x)) y) x) (* x (neg x)) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (neg y) (* y x)) |
| 2.0ms | y | @ | inf | ((* (neg x) (* (neg y) x)) (- x (* (neg x) (* (neg y) x))) (neg x) (* (neg y) x) (* x (- 1 (* x y))) (- 1 (* x y)) (+ (* (* x (neg x)) y) x) (* x (neg x)) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (neg y) (* y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 355 |
| 0 | 280 | 344 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(* (pow x 2) y) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 x) |
(* -1 (* x y)) |
1 |
(+ 1 (* -1 (* x y))) |
(* -1 (pow x 2)) |
(* x y) |
(sqrt (* x y)) |
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2))))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(* (pow x 2) (pow y 2)) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (- (/ 1 x) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* x (- (/ 1 x) y)) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (* x (* y (pow (sqrt -1) 2)))) |
(* (pow x 2) (* y (pow (sqrt -1) 2))) |
(* (pow x 2) (+ (* y (pow (sqrt -1) 2)) (/ 1 x))) |
(* x (* y (pow (sqrt -1) 2))) |
(* x (+ (* y (pow (sqrt -1) 2)) (/ 1 x))) |
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(* -1 y) |
(* y (- (/ x y) (pow x 2))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (- (/ 1 y) x)) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ x y))))) |
(* y (+ (* x (pow (sqrt -1) 2)) (/ 1 y))) |
| Outputs |
|---|
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(* -1 (pow x 2)) |
(neg.f64 (*.f64 x x)) |
(* x y) |
(*.f64 y x) |
(sqrt (* x y)) |
(sqrt.f64 (*.f64 y x)) |
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2))))) |
(*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 (*.f64 x x)) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 (*.f64 x x)) y) |
(* (pow x 2) (- (/ 1 x) y)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 x x)) |
(* x (- (/ 1 x) y)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) y) x) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y y)) (*.f64 x x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) y) x) |
(* -1 (* x (* y (pow (sqrt -1) 2)))) |
(*.f64 (neg.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) |
(* (pow x 2) (* y (pow (sqrt -1) 2))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (*.f64 x x)) |
(* (pow x 2) (+ (* y (pow (sqrt -1) 2)) (/ 1 x))) |
(*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) |
(* x (* y (pow (sqrt -1) 2))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x) |
(* x (+ (* y (pow (sqrt -1) 2)) (/ 1 x))) |
(*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y x)))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (neg.f64 (*.f64 x x)) y x) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 y y) x) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) (pow x 2))) |
(*.f64 (-.f64 (/.f64 x y) (*.f64 x x)) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (-.f64 (/.f64 x y) (*.f64 x x)) y) |
(* y (- (/ 1 y) x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 x (*.f64 y y))) (*.f64 y y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 y y)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2))))) |
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 x y) (*.f64 x x)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(*.f64 (neg.f64 y) (fma.f64 x x (/.f64 (neg.f64 x) y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
(* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ x y))))) |
(*.f64 (neg.f64 y) (fma.f64 (neg.f64 (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (neg.f64 x) y))) |
(* y (+ (* x (pow (sqrt -1) 2)) (/ 1 y))) |
(*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x (/.f64 #s(literal 1 binary64) y)) y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 126 |
| 0 | 44 | 105 |
| 1 | 184 | 99 |
| 2 | 1178 | 89 |
| 0 | 9270 | 89 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)) |
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x))) |
(neg.f64 x) |
(*.f64 (neg.f64 y) x) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (- 1 (* x y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (neg.f64 x)) y x) |
(*.f64 x (neg.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))) |
(sqrt.f64 (*.f64 y x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(neg.f64 y) |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 (fabs.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64))) x) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64)) x) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) y)) |
(*.f64 (*.f64 x x) (neg.f64 y)) |
(*.f64 (*.f64 x x) y) |
(*.f64 (*.f64 y x) (neg.f64 x)) |
(*.f64 (*.f64 y x) x) |
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 x) x)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) (*.f64 y x)) |
(*.f64 x (*.f64 y x)) |
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) y)) |
(/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) y))))) |
(neg.f64 (*.f64 (*.f64 x x) y)) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) y)) |
(fabs.f64 (-.f64 (*.f64 (*.f64 x x) y) #s(literal 0 binary64))) |
(fabs.f64 (*.f64 (*.f64 x x) y)) |
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) y)) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) x)) |
(*.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (fma.f64 y x #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (fma.f64 y x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 x))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 4 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y y))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 y y)) y) |
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (pow.f64 y #s(literal 3 binary64))))) |
(neg.f64 y) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(*.f64 (fabs.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) y) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 y x) y))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 y x)) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 y x) y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y)) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) y) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 y x) y)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 y x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 y x)))) |
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y (*.f64 y x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 y) (fabs.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)))) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 x x) y))) |
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))) |
(*.f64 (*.f64 y x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 (neg.f64 y) (neg.f64 x)) |
(*.f64 (neg.f64 y) x) |
(*.f64 y (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64))) |
(*.f64 y (neg.f64 x)) |
(*.f64 y x) |
(*.f64 (neg.f64 x) (neg.f64 y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 x (neg.f64 y)) |
(*.f64 x y) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (*.f64 y x)))) |
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (*.f64 y y)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 y (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 y y)) (*.f64 (neg.f64 x) x)) (*.f64 y x)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 x) x)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) x)) |
(/.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 (*.f64 y y))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)) |
(/.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (*.f64 y y))) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 x (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))) |
(/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y x)) |
(fabs.f64 (-.f64 (*.f64 y x) #s(literal 0 binary64))) |
(fabs.f64 (*.f64 y x)) |
(exp.f64 (log.f64 (*.f64 y x))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 y x))) (sinh.f64 (log.f64 (*.f64 y x)))) |
(+.f64 #s(literal 0 binary64) (*.f64 y x)) |
Compiled 23 506 to 3 089 computations (86.9% saved)
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 986 | 4 | 990 |
| Fresh | 1 | 3 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 990 | 9 | 999 |
| Status | Accuracy | Program |
|---|---|---|
| 64.5% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) | |
| ▶ | 75.9% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64))) |
| ▶ | 18.3% | (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x) (fma.f64 y x #s(literal 1 binary64))) |
| ▶ | 99.9% | (-.f64 x (*.f64 (*.f64 y x) x)) |
| 53.4% | (*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64))) | |
| ✓ | 57.2% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))))) |
| ▶ | 51.4% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
| ✓ | 50.7% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| ▶ | 46.3% | #s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y)) |
Compiled 236 to 154 computations (34.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x) (fma.f64 y x #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) y) | |
| cost-diff | 0 | #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (neg.f64 (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (neg.f64 (*.f64 x x)) y) | |
| cost-diff | 0 | #s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 (*.f64 y x) x) | |
| cost-diff | 0 | (-.f64 x (*.f64 (*.f64 y x) x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 213 |
| 0 | 53 | 204 |
| 1 | 131 | 195 |
| 2 | 363 | 195 |
| 3 | 1777 | 195 |
| 4 | 5271 | 195 |
| 0 | 8113 | 195 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (*.f64 (*.f64 y x) x)) |
x |
(*.f64 (*.f64 y x) x) |
(*.f64 y x) |
y |
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y)) |
(*.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 x x)) |
(*.f64 x x) |
x |
y |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
x |
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
y |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) |
(*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(fma.f64 y x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 y x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(fma.f64 y x #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 x (*.f64 (*.f64 y x) x)) |
x |
(*.f64 (*.f64 y x) x) |
(*.f64 y x) |
y |
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y)) |
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 (neg.f64 x) y) x)) |
(*.f64 (neg.f64 (*.f64 x x)) y) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(neg.f64 (*.f64 x x)) |
(*.f64 (neg.f64 x) x) |
(*.f64 x x) |
x |
y |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
(*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) x) |
x |
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
y |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) |
#s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)) |
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(neg.f64 (*.f64 x x)) |
(*.f64 (neg.f64 x) x) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(fma.f64 y x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 y x) (*.f64 y x)) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 y x) |
y |
x |
(fma.f64 y x #s(literal 1 binary64)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.24837875976844204 | (*.f64 (*.f64 y x) (*.f64 y x)) | |
| accuracy | 0.48221932289024927 | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) | |
| accuracy | 14.292717537701446 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 0.48221932289024927 | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x) | |
| accuracy | 14.292717537701446 | (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x) (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 17.315275125058832 | (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)) | |
| accuracy | 31.792282174367376 | #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) | |
| accuracy | 0 | (*.f64 (neg.f64 x) y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.07421875 | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) | |
| accuracy | 31.536156228272084 | #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (neg.f64 (*.f64 x x)) | |
| accuracy | 8.203825224531204 | (*.f64 (neg.f64 (*.f64 x x)) y) | |
| accuracy | 31.03422928519481 | #s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y)) | |
| accuracy | 0 | (-.f64 x (*.f64 (*.f64 y x) x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.12890625 | (*.f64 (*.f64 y x) x) |
| 122.0ms | 256× | 0 | valid |
Compiled 388 to 67 computations (82.7% saved)
ival-mult: 74.0ms (82% of total)ival-sub: 6.0ms (6.6% of total)ival-div: 3.0ms (3.3% of total)ival-pow2: 3.0ms (3.3% of total)ival-neg: 3.0ms (3.3% of total)ival-add: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 x (*.f64 (*.f64 y x) x)) |
(*.f64 (*.f64 y x) x) |
(*.f64 y x) |
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y)) |
(*.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) |
(*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)) |
(*.f64 (*.f64 y x) (*.f64 y x)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
(* (pow x 2) y) |
(* x y) |
(* -1 (* (pow x 2) y)) |
(* -1 (pow x 2)) |
(pow x 2) |
1 |
(+ 1 (* -1 (* x y))) |
(* -1 (* x y)) |
(* -1 x) |
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2))))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (- (/ 1 x) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* x (- (/ 1 x) y)) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(* y (- (/ x y) (pow x 2))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (- (/ 1 y) x)) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* y (+ (* -1 x) (/ 1 y))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | -inf | ((- x (* (* y x) x)) (* (* y x) x) (* y x) (- x (* (neg x) (* (neg y) x))) (* (neg (* x x)) y) (neg (* x x)) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (- 1 (* (* y x) (* y x))) x) (- 1 (* (* y x) (* y x))) (* (neg (* x x)) (* y y)) (* (* y x) (* y x))) |
| 4.0ms | y | @ | 0 | ((- x (* (* y x) x)) (* (* y x) x) (* y x) (- x (* (neg x) (* (neg y) x))) (* (neg (* x x)) y) (neg (* x x)) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (- 1 (* (* y x) (* y x))) x) (- 1 (* (* y x) (* y x))) (* (neg (* x x)) (* y y)) (* (* y x) (* y x))) |
| 2.0ms | x | @ | -inf | ((- x (* (* y x) x)) (* (* y x) x) (* y x) (- x (* (neg x) (* (neg y) x))) (* (neg (* x x)) y) (neg (* x x)) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (- 1 (* (* y x) (* y x))) x) (- 1 (* (* y x) (* y x))) (* (neg (* x x)) (* y y)) (* (* y x) (* y x))) |
| 2.0ms | x | @ | inf | ((- x (* (* y x) x)) (* (* y x) x) (* y x) (- x (* (neg x) (* (neg y) x))) (* (neg (* x x)) y) (neg (* x x)) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (- 1 (* (* y x) (* y x))) x) (- 1 (* (* y x) (* y x))) (* (neg (* x x)) (* y y)) (* (* y x) (* y x))) |
| 2.0ms | x | @ | 0 | ((- x (* (* y x) x)) (* (* y x) x) (* y x) (- x (* (neg x) (* (neg y) x))) (* (neg (* x x)) y) (neg (* x x)) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (- 1 (* (* y x) (* y x))) x) (- 1 (* (* y x) (* y x))) (* (neg (* x x)) (* y y)) (* (* y x) (* y x))) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 236 |
| 1 | 213 | 205 |
| 2 | 550 | 205 |
| 3 | 2158 | 205 |
| 4 | 6983 | 205 |
| 0 | 8335 | 205 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
(* (pow x 2) y) |
(* x y) |
(* -1 (* (pow x 2) y)) |
(* -1 (pow x 2)) |
(pow x 2) |
1 |
(+ 1 (* -1 (* x y))) |
(* -1 (* x y)) |
(* -1 x) |
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2))))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (- (/ 1 x) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* x (- (/ 1 x) y)) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(* y (- (/ x y) (pow x 2))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (- (/ 1 y) x)) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* y (+ (* -1 x) (/ 1 y))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(* x y) |
(*.f64 y x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(pow x 2) |
(*.f64 x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 x) |
(neg.f64 x) |
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2))))) |
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) (neg.f64 x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(* (pow x 2) (- (/ 1 x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) y) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x) |
(* y (- (/ x y) (pow x 2))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 180 |
| 0 | 53 | 171 |
| 1 | 211 | 153 |
| 2 | 1331 | 139 |
| 0 | 9494 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (*.f64 (*.f64 y x) x)) |
(*.f64 (*.f64 y x) x) |
(*.f64 y x) |
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y)) |
(*.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) |
(*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)) |
(*.f64 (*.f64 y x) (*.f64 y x)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (fma.f64 x x (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))))) |
(*.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y x #s(literal 1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (*.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (*.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x) (*.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y x) x) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y x) x) x) #s(literal 2 binary64)))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y x) x) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64)))) (fma.f64 x x (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)))) |
(/.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) |
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(fma.f64 x (*.f64 (neg.f64 y) (*.f64 y x)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64))) (*.f64 x x)) |
(*.f64 (fabs.f64 (*.f64 (*.f64 y x) (neg.f64 y))) x) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) y)) (sqrt.f64 (*.f64 (*.f64 y x) x))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 y x) y)) (sqrt.f64 (*.f64 x (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (sqrt.f64 (*.f64 y x))) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 (*.f64 y x) x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (*.f64 (*.f64 y x) (neg.f64 y)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64)) y) |
(*.f64 (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 y x) (neg.f64 y)) x) |
(*.f64 (*.f64 (*.f64 y y) x) x) |
(*.f64 (neg.f64 (*.f64 (*.f64 y x) y)) x) |
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 y x) y) x) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y)) |
(*.f64 (*.f64 (*.f64 y x) x) y) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 y x) x)) |
(*.f64 (*.f64 y x) (*.f64 y x)) |
(*.f64 y (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64))) |
(*.f64 y (*.f64 (*.f64 y x) x)) |
(*.f64 x (fabs.f64 (*.f64 (neg.f64 y) (*.f64 y x)))) |
(*.f64 x (pow.f64 (*.f64 (neg.f64 y) (*.f64 y x)) #s(literal 1 binary64))) |
(*.f64 x (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (neg.f64 y) (*.f64 y x))) |
(*.f64 x (*.f64 (*.f64 y x) y)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 y x))) |
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(fabs.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(fabs.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (/.f64 (fma.f64 (log.f64 (*.f64 y x)) #s(literal 2 binary64) (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64))) (*.f64 x x)) |
(*.f64 (fabs.f64 (*.f64 (*.f64 y x) (neg.f64 y))) x) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) y)) (sqrt.f64 (*.f64 (*.f64 y x) x))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 y x) y)) (sqrt.f64 (*.f64 x (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (sqrt.f64 (*.f64 y x))) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 (*.f64 y x) x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (*.f64 (*.f64 y x) (neg.f64 y)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64)) y) |
(*.f64 (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 y x) (neg.f64 y)) x) |
(*.f64 (*.f64 (*.f64 y y) x) x) |
(*.f64 (neg.f64 (*.f64 (*.f64 y x) y)) x) |
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 y x) y) x) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y)) |
(*.f64 (*.f64 (*.f64 y x) x) y) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 y x) x)) |
(*.f64 (*.f64 y x) (*.f64 y x)) |
(*.f64 y (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64))) |
(*.f64 y (*.f64 (*.f64 y x) x)) |
(*.f64 x (fabs.f64 (*.f64 (neg.f64 y) (*.f64 y x)))) |
(*.f64 x (pow.f64 (*.f64 (neg.f64 y) (*.f64 y x)) #s(literal 1 binary64))) |
(*.f64 x (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (neg.f64 y) (*.f64 y x))) |
(*.f64 x (*.f64 (*.f64 y x) y)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 y x))) |
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(fabs.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(fabs.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (/.f64 (fma.f64 (log.f64 (*.f64 y x)) #s(literal 2 binary64) (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
Compiled 18 146 to 2 444 computations (86.5% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 772 | 2 | 774 |
| Fresh | 0 | 2 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 774 | 9 | 783 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 64.5% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
| ▶ | 27.1% | (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) (fma.f64 y x #s(literal 1 binary64))) |
| ✓ | 99.9% | (-.f64 x (*.f64 (*.f64 y x) x)) |
| ▶ | 53.4% | (*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64))) |
| ✓ | 57.2% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))))) |
| ✓ | 51.4% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
| ✓ | 50.7% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| ▶ | 2.9% | #s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y)) |
| ✓ | 46.3% | #s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y)) |
Compiled 128 to 86 computations (32.8% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (*.f64 y x) #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 y x) x) | |
| cost-diff | 0 | #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) (fma.f64 y x #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (neg.f64 y) x)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64))) | |
| cost-diff | 2048 | (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) y) | |
| cost-diff | 0 | #s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 207 |
| 0 | 53 | 194 |
| 1 | 124 | 183 |
| 2 | 345 | 183 |
| 3 | 1595 | 183 |
| 4 | 4292 | 183 |
| 0 | 8064 | 183 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y)) |
(*.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
y |
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64))) |
x |
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) |
(*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y)) |
(*.f64 (*.f64 y x) x) |
(*.f64 y x) |
y |
x |
(neg.f64 y) |
(fma.f64 y x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) |
(fma.f64 y x #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y)) |
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 y x) x)) |
(*.f64 (*.f64 x x) y) |
(*.f64 (*.f64 y x) x) |
(*.f64 x x) |
x |
y |
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y x #s(literal -1 binary64)) (neg.f64 x)) |
x |
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) |
#s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y)) |
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(*.f64 (*.f64 y x) x) |
(*.f64 y x) |
y |
x |
(neg.f64 y) |
(fma.f64 y x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) |
(fma.f64 y x #s(literal 1 binary64)) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05078125 | (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) | |
| accuracy | 0.09832001953688405 | (pow.f64 (*.f64 y x) #s(literal 3 binary64)) | |
| accuracy | 0.2310073081648058 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) | |
| accuracy | 11.298288438583356 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) | |
| accuracy | 0.2461764110423042 | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) | |
| accuracy | 1.636397268772541 | (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y)) | |
| accuracy | 8.143960419973366 | (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 15.204355455679472 | #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.02734375 | (*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64))) | |
| accuracy | 0.0859375 | (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64)) | |
| accuracy | 7.0948844718545745 | (sqrt.f64 (*.f64 (neg.f64 y) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 4.026257460962205 | (*.f64 (*.f64 x x) y) | |
| accuracy | 29.808540548258204 | #s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y)) |
| 55.0ms | 134× | 0 | invalid |
| 42.0ms | 122× | 0 | valid |
Compiled 392 to 65 computations (83.4% saved)
ival-mult: 20.0ms (35.1% of total)ival-add: 17.0ms (29.8% of total)ival-pow: 6.0ms (10.5% of total)ival-sub: 4.0ms (7% of total)ival-div: 3.0ms (5.3% of total)ival-pow2: 3.0ms (5.3% of total)ival-sqrt: 2.0ms (3.5% of total)ival-neg: 2.0ms (3.5% 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 (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y)) |
(*.f64 (*.f64 x x) y) |
(*.f64 x x) |
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) |
(*.f64 (*.f64 y x) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) |
(pow.f64 (*.f64 y x) #s(literal 3 binary64)) |
(neg.f64 y) |
(*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y)) |
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
(* (pow x 2) y) |
(pow x 2) |
1 |
(+ 1 (* x (* y (pow (sqrt -1) 2)))) |
(* x (+ 1 (* x (* y (pow (sqrt -1) 2))))) |
(* (sqrt (* x y)) (sqrt -1)) |
(* -1 (* x y)) |
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2))))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y)))) |
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y)))) |
(* x (+ 1 (* -1 (* (pow x 3) (pow y 3))))) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(* (pow x 3) (pow y 3)) |
(* -1 (* (pow x 2) (pow y 2))) |
(+ 1 (* x y)) |
(+ 1 (* x (+ y (* x (pow y 2))))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (- (/ 1 x) y)) |
(* x (* y (pow (sqrt -1) 2))) |
(* x (+ (* y (pow (sqrt -1) 2)) (/ 1 x))) |
(* (pow x 2) (* y (pow (sqrt -1) 2))) |
(* (pow x 2) (+ (* y (pow (sqrt -1) 2)) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* -1 (* (pow x 4) (pow y 3))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* -1 (* (pow x 3) (pow y 3))) |
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ y x) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* (sqrt (* x y)) (sqrt -1))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* (pow x 2) (* y (pow (sqrt -1) 2)))) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(+ x (* -1 (* (pow x 4) (pow y 3)))) |
(* -1 y) |
(+ 1 (* y (+ x (* (pow x 2) y)))) |
(* y (- (/ x y) (pow x 2))) |
(* y (+ (* x (pow (sqrt -1) 2)) (/ 1 y))) |
(* y (+ (* (pow x 2) (pow (sqrt -1) 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3)))) |
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3))) |
(* (pow y 2) (+ (/ x y) (pow x 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2))))) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4)))) |
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3)))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((- x (* (neg x) (* (neg y) x))) (* (* x x) y) (* x x) (+ (* (sqrt (* (neg y) x)) (sqrt (* (neg y) x))) 1) (* x (+ (* (sqrt (* (neg y) x)) (sqrt (* (neg y) x))) 1)) (sqrt (* (neg y) x)) (* (neg y) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* y x) x) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (neg y) (* (* (* y x) x) (neg y)) (+ (* (+ (* y x) 1) (* y x)) 1)) |
| 5.0ms | y | @ | -inf | ((- x (* (neg x) (* (neg y) x))) (* (* x x) y) (* x x) (+ (* (sqrt (* (neg y) x)) (sqrt (* (neg y) x))) 1) (* x (+ (* (sqrt (* (neg y) x)) (sqrt (* (neg y) x))) 1)) (sqrt (* (neg y) x)) (* (neg y) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* y x) x) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (neg y) (* (* (* y x) x) (neg y)) (+ (* (+ (* y x) 1) (* y x)) 1)) |
| 4.0ms | x | @ | inf | ((- x (* (neg x) (* (neg y) x))) (* (* x x) y) (* x x) (+ (* (sqrt (* (neg y) x)) (sqrt (* (neg y) x))) 1) (* x (+ (* (sqrt (* (neg y) x)) (sqrt (* (neg y) x))) 1)) (sqrt (* (neg y) x)) (* (neg y) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* y x) x) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (neg y) (* (* (* y x) x) (neg y)) (+ (* (+ (* y x) 1) (* y x)) 1)) |
| 4.0ms | y | @ | inf | ((- x (* (neg x) (* (neg y) x))) (* (* x x) y) (* x x) (+ (* (sqrt (* (neg y) x)) (sqrt (* (neg y) x))) 1) (* x (+ (* (sqrt (* (neg y) x)) (sqrt (* (neg y) x))) 1)) (sqrt (* (neg y) x)) (* (neg y) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* y x) x) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (neg y) (* (* (* y x) x) (neg y)) (+ (* (+ (* y x) 1) (* y x)) 1)) |
| 4.0ms | x | @ | 0 | ((- x (* (neg x) (* (neg y) x))) (* (* x x) y) (* x x) (+ (* (sqrt (* (neg y) x)) (sqrt (* (neg y) x))) 1) (* x (+ (* (sqrt (* (neg y) x)) (sqrt (* (neg y) x))) 1)) (sqrt (* (neg y) x)) (* (neg y) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* y x) x) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (neg y) (* (* (* y x) x) (neg y)) (+ (* (+ (* y x) 1) (* y x)) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 170 | 694 |
| 0 | 600 | 665 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
(* (pow x 2) y) |
(pow x 2) |
1 |
(+ 1 (* x (* y (pow (sqrt -1) 2)))) |
(* x (+ 1 (* x (* y (pow (sqrt -1) 2))))) |
(* (sqrt (* x y)) (sqrt -1)) |
(* -1 (* x y)) |
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2))))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y)))) |
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y)))) |
(* x (+ 1 (* -1 (* (pow x 3) (pow y 3))))) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(* (pow x 3) (pow y 3)) |
(* -1 (* (pow x 2) (pow y 2))) |
(+ 1 (* x y)) |
(+ 1 (* x (+ y (* x (pow y 2))))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (- (/ 1 x) y)) |
(* x (* y (pow (sqrt -1) 2))) |
(* x (+ (* y (pow (sqrt -1) 2)) (/ 1 x))) |
(* (pow x 2) (* y (pow (sqrt -1) 2))) |
(* (pow x 2) (+ (* y (pow (sqrt -1) 2)) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* -1 (* (pow x 4) (pow y 3))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* -1 (* (pow x 3) (pow y 3))) |
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ y x) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* (sqrt (* x y)) (sqrt -1))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* (pow x 2) (* y (pow (sqrt -1) 2)))) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(+ x (* -1 (* (pow x 4) (pow y 3)))) |
(* -1 y) |
(+ 1 (* y (+ x (* (pow x 2) y)))) |
(* y (- (/ x y) (pow x 2))) |
(* y (+ (* x (pow (sqrt -1) 2)) (/ 1 y))) |
(* y (+ (* (pow x 2) (pow (sqrt -1) 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3)))) |
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3))) |
(* (pow y 2) (+ (/ x y) (pow x 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2))))) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4)))) |
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3)))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(pow x 2) |
(*.f64 x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (* y (pow (sqrt -1) 2)))) |
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x #s(literal 1 binary64)) |
(* x (+ 1 (* x (* y (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x #s(literal 1 binary64)) x) |
(* (sqrt (* x y)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2))))) |
(*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 (*.f64 x x)) (*.f64 y y) #s(literal 1 binary64)) |
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y)))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 x) (*.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) y) x) (*.f64 #s(literal 0 binary64) (*.f64 y y))) x (neg.f64 y)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (* (pow x 3) (pow y 3))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) x) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(* (pow x 3) (pow y 3)) |
(pow.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* x (+ y (* x (pow y 2))))) |
(fma.f64 (fma.f64 (*.f64 y y) x y) x #s(literal 1 binary64)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 (*.f64 x x)) y) |
(* (pow x 2) (- (/ 1 x) y)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 x x)) |
(* x (* y (pow (sqrt -1) 2))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x) |
(* x (+ (* y (pow (sqrt -1) 2)) (/ 1 x))) |
(*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y (/.f64 #s(literal 1 binary64) x)) x) |
(* (pow x 2) (* y (pow (sqrt -1) 2))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (*.f64 x x)) |
(* (pow x 2) (+ (* y (pow (sqrt -1) 2)) (/ 1 x))) |
(*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 x x)) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y y)) (*.f64 x x)) |
(* -1 (* (pow x 4) (pow y 3))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 3) (pow y 3))) |
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64))) |
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (+ (/ y x) (pow y 2))) |
(*.f64 (fma.f64 y y (/.f64 y x)) (*.f64 x x)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2)))) |
(*.f64 (+.f64 (fma.f64 y y (/.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) |
(* -1 (* x (- y (/ 1 x)))) |
(*.f64 (neg.f64 x) (-.f64 y (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* (sqrt (* x y)) (sqrt -1))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2))) |
(*.f64 (fma.f64 y y (neg.f64 (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)) x))) (*.f64 x x)) |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (neg.f64 (*.f64 x x)) y x) |
(+ x (* (pow x 2) (* y (pow (sqrt -1) 2)))) |
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (*.f64 x x) x) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 y y) x) |
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(fma.f64 (-.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) y x) |
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) y) x) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) y (neg.f64 (*.f64 x x))) y x) |
(+ x (* -1 (* (pow x 4) (pow y 3)))) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)) x) |
(* -1 y) |
(neg.f64 y) |
(+ 1 (* y (+ x (* (pow x 2) y)))) |
(fma.f64 (fma.f64 (*.f64 x x) y x) y #s(literal 1 binary64)) |
(* y (- (/ x y) (pow x 2))) |
(*.f64 (-.f64 (/.f64 x y) (*.f64 x x)) y) |
(* y (+ (* x (pow (sqrt -1) 2)) (/ 1 y))) |
(*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x (/.f64 #s(literal 1 binary64) y)) y) |
(* y (+ (* (pow x 2) (pow (sqrt -1) 2)) (/ x y))) |
(*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x x) (/.f64 x y)) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (-.f64 (/.f64 x y) (*.f64 x x)) y) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 x (*.f64 y y))) (*.f64 y y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 y y)) |
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ (/ x y) (pow x 2))) |
(*.f64 (fma.f64 x x (/.f64 x y)) (*.f64 y y)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2)))) |
(*.f64 (+.f64 (fma.f64 x x (/.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2))))) |
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 x y) (*.f64 x x)))) |
(* -1 (* y (- x (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 x (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(*.f64 (neg.f64 y) (fma.f64 x x (/.f64 (neg.f64 x) y))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2))) |
(*.f64 (fma.f64 x x (neg.f64 (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y)) y))) (*.f64 y y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 179 |
| 0 | 53 | 155 |
| 1 | 222 | 143 |
| 2 | 1626 | 133 |
| 0 | 9188 | 133 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y)) |
(*.f64 (*.f64 x x) y) |
(*.f64 x x) |
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) |
(*.f64 (*.f64 y x) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) |
(pow.f64 (*.f64 y x) #s(literal 3 binary64)) |
(neg.f64 y) |
(*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y)) |
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 y x) x)) |
(*.f64 (fabs.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64))) x) |
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (*.f64 y x)))) (sqrt.f64 (*.f64 y x))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 x (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) x)) |
(*.f64 (*.f64 y x) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x)) |
(*.f64 (sqrt.f64 (*.f64 y x)) (fabs.f64 (*.f64 (sqrt.f64 (*.f64 y x)) x))) |
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) x)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (neg.f64 y)) |
(*.f64 (*.f64 x x) y) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(neg.f64 (*.f64 (*.f64 y x) x)) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) x)) |
(fabs.f64 (-.f64 (*.f64 (*.f64 y x) x) #s(literal 0 binary64))) |
(fabs.f64 (*.f64 (*.f64 y x) x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 x x)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(neg.f64 (*.f64 x x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (fma.f64 y x #s(literal -1 binary64)) (-.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (+.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
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(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 9 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (+.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
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(exp.f64 (/.f64 (fma.f64 (log.f64 (*.f64 y x)) #s(literal 2 binary64) (*.f64 (log.f64 (*.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x)))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y)) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x)))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x))))) |
(+.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) (pow.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x)) |
Compiled 32 446 to 3 915 computations (87.9% saved)
9 alts after pruning (0 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 247 | 0 | 1 247 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 5 | 5 |
| Total | 1 247 | 9 | 1 256 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 64.5% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
| ✓ | 27.1% | (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) (fma.f64 y x #s(literal 1 binary64))) |
| ✓ | 99.9% | (-.f64 x (*.f64 (*.f64 y x) x)) |
| ✓ | 53.4% | (*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64))) |
| ✓ | 57.2% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))))) |
| ✓ | 51.4% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
| ✓ | 50.7% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| ✓ | 2.9% | #s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y)) |
| ✓ | 46.3% | #s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y)) |
Compiled 339 to 158 computations (53.4% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y)) |
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y)) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(-.f64 x (*.f64 (*.f64 y x) x)) |
(fma.f64 (*.f64 x (neg.f64 x)) y x) |
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x))) |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))))) |
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
| Outputs |
|---|
(-.f64 x (*.f64 (*.f64 y x) x)) |
3 calls:
| 17.0ms | y |
| 5.0ms | x |
| 5.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y)) |
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y)) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y)) |
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y)) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
3 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.3% | 3 | x |
| 75.6% | 3 | y |
| 87.8% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y)) |
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y)) |
| Outputs |
|---|
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y)) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y)) |
1 calls:
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.4% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 7 to 6 computations (14.3% saved)
Total -30.6b remaining (-97.1%)
Threshold costs -30.6b (-97.1%)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y)) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
3 calls:
| 3.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.7% | 1 | y |
| 50.7% | 1 | x |
| 50.7% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 9 to 10 computations (-11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.169200893941228e+87 | 1.844928462888255e+94 |
| 0.0ms | -2.006169080454069e+35 | -1.8243560231181992e+34 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.169200893941228e+87 | 1.844928462888255e+94 |
| 0.0ms | -2.006169080454069e+35 | -1.8243560231181992e+34 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 137 |
| 1 | 62 | 137 |
| 2 | 93 | 137 |
| 3 | 146 | 137 |
| 4 | 251 | 137 |
| 5 | 346 | 137 |
| 6 | 415 | 137 |
| 7 | 473 | 137 |
| 8 | 539 | 137 |
| 9 | 558 | 137 |
| 10 | 561 | 137 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (*.f64 (*.f64 y x) x)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -199999999999999993726732215835951104 binary64)) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))))) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -199999999999999993726732215835951104 binary64)) #s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y)) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y)))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(-.f64 x (*.f64 (*.f64 y x) x)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -199999999999999993726732215835951104 binary64)) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) #s(literal -199999999999999993726732215835951104 binary64)) (*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) x) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) (*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) (*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) x))) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -199999999999999993726732215835951104 binary64)) #s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y)) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y)))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) #s(literal -199999999999999993726732215835951104 binary64)) #s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 (neg.f64 x) x) y)) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) (*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) #s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 (neg.f64 x) x) y)))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 85 |
| 1 | 114 | 75 |
| 2 | 267 | 75 |
| 3 | 800 | 75 |
| 4 | 3587 | 75 |
| 0 | 8224 | 75 |
| 0 | 86 | 355 |
| 0 | 280 | 344 |
| 0 | 25 | 126 |
| 0 | 44 | 105 |
| 1 | 184 | 99 |
| 2 | 1178 | 89 |
| 0 | 9270 | 89 |
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 32 | 15 |
| 2 | 199 | 15 |
| 3 | 1662 | 15 |
| 0 | 9381 | 13 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | node limit |
Compiled 206 to 87 computations (57.8% saved)
Compiled 288 to 78 computations (72.9% saved)
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