
Time bar (total: 2.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 291.0ms | 8 256× | 0 | valid |
ival-div: 53.0ms (38.3% of total)ival-sub: 43.0ms (31.1% of total)ival-add: 34.0ms (24.6% of total)ival-true: 5.0ms (3.6% of total)ival-assert: 3.0ms (2.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 y x) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 y x) z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 0 | 0 | - | 0 | - | z |
| 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 |
| 21.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-sub: 3.0ms (34.5% of total)ival-div: 3.0ms (34.5% of total)ival-add: 2.0ms (23% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 72 |
| 1 | 78 | 63 |
| 2 | 229 | 63 |
| 3 | 682 | 63 |
| 4 | 1689 | 63 |
| 5 | 3091 | 63 |
| 6 | 3495 | 63 |
| 7 | 3694 | 63 |
| 8 | 3817 | 63 |
| 9 | 3865 | 63 |
| 10 | 3865 | 63 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 15 | 7 |
| 2 | 26 | 7 |
| 3 | 45 | 7 |
| 4 | 88 | 7 |
| 5 | 158 | 7 |
| 6 | 350 | 7 |
| 7 | 636 | 7 |
| 8 | 905 | 7 |
| 9 | 986 | 7 |
| 10 | 1034 | 7 |
| 11 | 1073 | 7 |
| 0 | 1073 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 x (/.f64 (-.f64 y x) z)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (/.f64 (-.f64 y x) z) | |
| cost-diff | 0 | (+.f64 x (/.f64 (-.f64 y x) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 15 | 18 |
| 2 | 26 | 18 |
| 3 | 45 | 18 |
| 4 | 88 | 18 |
| 5 | 158 | 18 |
| 6 | 350 | 18 |
| 7 | 636 | 18 |
| 8 | 905 | 18 |
| 9 | 986 | 18 |
| 10 | 1034 | 18 |
| 11 | 1073 | 18 |
| 0 | 1073 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
x |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
y |
z |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
x |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
y |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0.0078125 | (+.f64 x (/.f64 (-.f64 y x) z)) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 y x) z) |
| 10.0ms | 256× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-div: 2.0ms (48.1% of total)ival-sub: 1.0ms (24% of total)ival-add: 1.0ms (24% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
| Outputs |
|---|
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
y |
(+ y (* -1 x)) |
(* x (- 1 (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- y x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (/ x y) 1))) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
x |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1.0ms | z | @ | 0 | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1.0ms | x | @ | inf | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1.0ms | x | @ | 0 | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1.0ms | y | @ | inf | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 173 |
| 1 | 198 | 125 |
| 2 | 553 | 125 |
| 3 | 1585 | 125 |
| 4 | 3532 | 125 |
| 5 | 5029 | 125 |
| 6 | 6483 | 125 |
| 7 | 6757 | 125 |
| 8 | 6857 | 125 |
| 9 | 6857 | 125 |
| 0 | 8119 | 124 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
y |
(+ y (* -1 x)) |
(* x (- 1 (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- y x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (/ x y) 1))) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
x |
| Outputs |
|---|
(/ y z) |
(/.f64 y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(- x (/ x z)) |
(-.f64 x (/.f64 x z)) |
(- (+ x (/ y z)) (/ x z)) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(- y x) |
(-.f64 y x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/.f64 (fma.f64 z x (-.f64 y x)) z) |
x |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 46 | 15 |
| 2 | 408 | 15 |
| 3 | 5406 | 15 |
| 0 | 8250 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (/.f64 (-.f64 x y) z) (-.f64 (/.f64 (-.f64 y x) z) x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) (-.f64 (*.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))) (+.f64 (/.f64 (-.f64 y x) z) x)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)))) (fma.f64 (/.f64 (-.f64 y x) z) (+.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (/.f64 (-.f64 y x) z) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 y x) z) x)) |
(*.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) (/.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) (*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 x (/.f64 (-.f64 y x) z)))) |
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (*.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (-.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 y x) z) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 y x) z) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -4 binary64))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -6 binary64))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -6 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -6 binary64))) (pow.f64 (*.f64 (/.f64 (-.f64 y x) z) x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 x (/.f64 (-.f64 y x) z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 y z) x) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (/.f64 (-.f64 y x) z))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 2 binary64))) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 y z) x) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 y z) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (-.f64 y x) z) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 (-.f64 y x) z))) (*.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -4 binary64))) (*.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (fma.f64 x x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64))) (fma.f64 y (/.f64 y (+.f64 y x)) (*.f64 x (/.f64 x (+.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (neg.f64 x) y)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 x x))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 y x) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(neg.f64 (-.f64 x y)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 y x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) x) (-.f64 (*.f64 (+.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 #s(literal -1 binary64) x y) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 y (/.f64 y (+.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(fma.f64 x #s(literal -1 binary64) y) |
(-.f64 (+.f64 y #s(literal 0 binary64)) x) |
(-.f64 (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x y)) |
(-.f64 y x) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) y)) |
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)) |
(+.f64 (*.f64 y (/.f64 y (+.f64 y x))) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(+.f64 (neg.f64 x) y) |
(+.f64 y (neg.f64 x)) |
Compiled 7 058 to 1 079 computations (84.7% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 343 | 4 | 347 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 343 | 5 | 348 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) |
| ✓ | 100.0% | (+.f64 x (/.f64 (-.f64 y x) z)) |
| ▶ | 69.7% | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
| ▶ | 42.8% | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| ▶ | 62.4% | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
Compiled 52 to 39 computations (25% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (/.f64 (-.f64 y x) z) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (-.f64 x (/.f64 x z)) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 81 |
| 0 | 27 | 81 |
| 1 | 39 | 81 |
| 2 | 73 | 80 |
| 3 | 137 | 80 |
| 4 | 273 | 80 |
| 5 | 490 | 80 |
| 6 | 725 | 80 |
| 7 | 1050 | 80 |
| 8 | 1133 | 80 |
| 9 | 1144 | 80 |
| 10 | 1145 | 80 |
| 0 | 1145 | 80 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
(-.f64 x (/.f64 x z)) |
x |
(/.f64 x z) |
z |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
y |
x |
z |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(-.f64 x y) |
x |
y |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
(-.f64 x (/.f64 x z)) |
x |
(/.f64 x z) |
z |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
y |
x |
z |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(-.f64 x y) |
x |
y |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0.09375 | (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 y x) z) | |
| accuracy | 19.402526457926363 | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 36.6288277588364 | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 x z)) | |
| accuracy | 24.057675981581376 | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
| 34.0ms | 256× | 0 | valid |
Compiled 149 to 34 computations (77.2% saved)
ival-div: 6.0ms (42.5% of total)ival-sub: 4.0ms (28.3% of total)ival-add: 2.0ms (14.2% of total)ival-mult: 1.0ms (7.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
(-.f64 x (/.f64 x z)) |
(/.f64 x z) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
(/.f64 y z) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) |
(/.f64 #s(literal -1 binary64) z) |
(-.f64 x y) |
| Outputs |
|---|
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(* x (- 1 (/ 1 z))) |
(/ x z) |
(+ (* -1 (/ x z)) (/ y z)) |
y |
(+ y (* -1 x)) |
(* -1 y) |
(- x y) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (- (/ y x) 1))) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- y x) |
(+ x (* -1 (/ x z))) |
(+ x (+ (* -1 (/ x z)) (/ y z))) |
(+ x (* -1 y)) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x y)))) |
(* y (- (/ x y) 1)) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (- (* x z) x) z) |
(* -1 (/ (- x y) z)) |
(/ (+ (* -1 (- x y)) (* x z)) z) |
(/ -1 z) |
(+ x (* -1 (/ (- x y) z))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | ((+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y)) |
| 2.0ms | y | @ | -inf | ((+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y)) |
| 1.0ms | z | @ | -inf | ((+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y)) |
| 1.0ms | x | @ | inf | ((+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y)) |
| 1.0ms | z | @ | 0 | ((+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y)) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 246 |
| 1 | 242 | 192 |
| 2 | 672 | 192 |
| 3 | 1830 | 192 |
| 4 | 4400 | 192 |
| 5 | 6645 | 192 |
| 6 | 7900 | 192 |
| 0 | 8081 | 192 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(* x (- 1 (/ 1 z))) |
(/ x z) |
(+ (* -1 (/ x z)) (/ y z)) |
y |
(+ y (* -1 x)) |
(* -1 y) |
(- x y) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (- (/ y x) 1))) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- y x) |
(+ x (* -1 (/ x z))) |
(+ x (+ (* -1 (/ x z)) (/ y z))) |
(+ x (* -1 y)) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x y)))) |
(* y (- (/ x y) 1)) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (- (* x z) x) z) |
(* -1 (/ (- x y) z)) |
(/ (+ (* -1 (- x y)) (* x z)) z) |
(/ -1 z) |
(+ x (* -1 (/ (- x y) z))) |
| Outputs |
|---|
(/ y z) |
(/.f64 y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(/ x z) |
(/.f64 x z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(- x (/ x z)) |
(-.f64 x (/.f64 x z)) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- y x) |
(-.f64 y x) |
(+ x (* -1 (/ x z))) |
(-.f64 x (/.f64 x z)) |
(+ x (+ (* -1 (/ x z)) (/ y z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x y)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- (+ y (* x z)) x) z) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ (- (* x z) x) z) |
(-.f64 x (/.f64 x z)) |
(* -1 (/ (- x y) z)) |
(/.f64 (-.f64 y x) z) |
(/ (+ (* -1 (- x y)) (* x z)) z) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(+ x (* -1 (/ (- x y) z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 70 |
| 0 | 27 | 70 |
| 1 | 111 | 70 |
| 2 | 993 | 69 |
| 0 | 9019 | 69 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
(-.f64 x (/.f64 x z)) |
(/.f64 x z) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
(/.f64 y z) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) |
(/.f64 #s(literal -1 binary64) z) |
(-.f64 x y) |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 x z) x)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 x z) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x z))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x z))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 x z) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 x z) x))) (*.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x)) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 x z) x)) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (neg.f64 x) z) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 x z) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 x z) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 x z) x)) (fma.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x)) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x)) (*.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 x z) x)) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 x) z) x)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 x z) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 x z) x)) (*.f64 (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 x z) x) (+.f64 (/.f64 x z) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)))) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 x z) x))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (neg.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (+.f64 (/.f64 x z) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x z))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x z))))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (+.f64 (/.f64 x z) x))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 x z) x)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (neg.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))))) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x) x) |
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 (/.f64 x z) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))))) |
(fma.f64 (neg.f64 x) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z) x) |
(fma.f64 #s(literal 1 binary64) x (/.f64 (neg.f64 x) z)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) x x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (/.f64 (neg.f64 x) z)) |
(fma.f64 #s(literal -1 binary64) (/.f64 x z) x) |
(fma.f64 x #s(literal 1 binary64) (/.f64 (neg.f64 x) z)) |
(fma.f64 x (/.f64 #s(literal -1 binary64) z) x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 x z) x)) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)))) |
(-.f64 x (/.f64 x z)) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 x z) x)) (neg.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))))) |
(+.f64 (/.f64 (neg.f64 x) z) x) |
(+.f64 x (/.f64 (neg.f64 x) z)) |
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 x z)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 x z) #s(literal 1 binary64)) |
(*.f64 x (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (/.f64 z x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x)) |
(/.f64 x z) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) y) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z)) |
(*.f64 y (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (/.f64 z y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y)) |
(/.f64 y z) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z))) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(*.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (+.f64 y x) z) (/.f64 (-.f64 y x) (+.f64 y x))) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) z) (/.f64 (-.f64 y x) (fma.f64 y y (*.f64 x (+.f64 y x))))) |
(*.f64 (/.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) z) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (/.f64 (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) z)) |
(*.f64 (pow.f64 (/.f64 z (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) z) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 z)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 z)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 (neg.f64 y) y (*.f64 x x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) (/.f64 x z)))) |
(*.f64 (/.f64 (-.f64 x y) z) #s(literal -1 binary64)) |
(*.f64 (-.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (/.f64 x z)))))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) z))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) z))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(*.f64 (fma.f64 (neg.f64 y) (neg.f64 z) (*.f64 (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
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(fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (-.f64 (/.f64 x z) x))) |
(fma.f64 #s(literal 1 binary64) x (/.f64 (-.f64 y x) z)) |
(fma.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) z) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z) (neg.f64 (-.f64 (/.f64 x z) x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (/.f64 (-.f64 y x) z)) |
(fma.f64 (/.f64 (-.f64 y x) z) #s(literal 1 binary64) x) |
(fma.f64 (-.f64 y x) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 y (pow.f64 z #s(literal -1 binary64)) (neg.f64 (-.f64 (/.f64 x z) x))) |
(fma.f64 x #s(literal 1 binary64) (/.f64 (-.f64 y x) z)) |
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (-.f64 y x) z))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) z) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 y x) z) x))) |
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(+.f64 (+.f64 x (/.f64 y z)) (/.f64 (neg.f64 x) z)) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (-.f64 y x) z))) (neg.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) z) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 y x) z) x)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+.f64 (/.f64 y z) (neg.f64 (-.f64 (/.f64 x z) x))) |
(+.f64 x (/.f64 (-.f64 y x) z)) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 z) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (neg.f64 z) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) z) |
(neg.f64 (pow.f64 z #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 y (neg.f64 x)))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 (-.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 y x)) |
(*.f64 (-.f64 y x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 y x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 y y))) (*.f64 (+.f64 y x) (+.f64 y x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (+.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 y (neg.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (neg.f64 y) x)) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (+.f64 y x))) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 y (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 y (neg.f64 x)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(neg.f64 (-.f64 y x)) |
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 y)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 y)) |
(fma.f64 #s(literal -1 binary64) y x) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 y)) |
(-.f64 (/.f64 (*.f64 y y) (neg.f64 (+.f64 y x))) (/.f64 (*.f64 x x) (neg.f64 (+.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 y x)) |
(-.f64 (neg.f64 y) (neg.f64 x)) |
(-.f64 x y) |
(+.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(+.f64 #s(literal 0 binary64) (-.f64 x y)) |
(+.f64 (neg.f64 y) x) |
(+.f64 x (neg.f64 y)) |
Compiled 13 496 to 1 718 computations (87.3% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 563 | 3 | 566 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 1 | 1 |
| Total | 564 | 7 | 571 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.1% | (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) |
| ✓ | 100.0% | (+.f64 x (/.f64 (-.f64 y x) z)) |
| ✓ | 69.7% | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
| ▶ | 32.3% | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
| ✓ | 42.8% | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| ✓ | 62.4% | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
| ▶ | 69.5% | #s(approx (+ x (/ (- y x) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y))) |
Compiled 86 to 62 computations (27.9% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- x y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- y x) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- y x) (neg.f64 x)) z) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 92 |
| 0 | 27 | 92 |
| 1 | 45 | 90 |
| 2 | 82 | 88 |
| 3 | 149 | 87 |
| 4 | 303 | 87 |
| 5 | 485 | 87 |
| 6 | 757 | 87 |
| 7 | 1137 | 87 |
| 8 | 1317 | 87 |
| 9 | 1427 | 87 |
| 10 | 1453 | 87 |
| 11 | 1472 | 87 |
| 12 | 1484 | 87 |
| 13 | 1508 | 87 |
| 14 | 1517 | 87 |
| 0 | 1517 | 87 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(-.f64 x y) |
x |
y |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
(/.f64 #s(approx (- y x) (neg.f64 x)) z) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
x |
z |
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y)) |
(/.f64 (-.f64 y x) z) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(-.f64 x y) |
x |
y |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
(/.f64 #s(approx (- y x) (neg.f64 x)) z) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
x |
z |
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) |
(-.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.09375 | (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) | |
| accuracy | 30.374478439420198 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- y x) (neg.f64 x)) z) | |
| accuracy | 19.402526457926363 | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) | |
| accuracy | 32.2401884766654 | #s(approx (- y x) (neg.f64 x)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0.16796875 | (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y)) | |
| accuracy | 19.402526457926363 | #s(approx (+ x (/ (- y x) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y))) |
| 23.0ms | 256× | 0 | valid |
Compiled 158 to 34 computations (78.5% saved)
ival-div: 3.0ms (25% of total)ival-sub: 2.0ms (16.7% of total)ival-add: 2.0ms (16.7% of total)ival-mult: 2.0ms (16.7% of total)ival-neg: 2.0ms (16.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y)) |
#s(approx (+ x (/ (- y x) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y))) |
(/.f64 #s(literal -1 binary64) z) |
(-.f64 x y) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
(/.f64 #s(approx (- y x) (neg.f64 x)) z) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
| Outputs |
|---|
(/ y z) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(* -1 y) |
(- x y) |
y |
(+ y (* -1 x)) |
(* -1 x) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (- (/ y x) 1)) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(+ x (* -1 y)) |
(- y x) |
(+ x (* -1 (/ x z))) |
(+ x (+ (* -1 (/ x z)) (/ y z))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (- (/ x y) 1)) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x y)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (/ (- x y) z)) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ -1 z) |
(/ (+ (* -1 (- x y)) (* x z)) z) |
(+ x (* -1 (/ (- x y) z))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | ((* (/ -1 z) (- x y)) (+ x (/ (- y x) z)) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ (* (/ -1 z) (- x y)) x) (- x y) (neg y)) |
| 1.0ms | x | @ | inf | ((* (/ -1 z) (- x y)) (+ x (/ (- y x) z)) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ (* (/ -1 z) (- x y)) x) (- x y) (neg y)) |
| 1.0ms | y | @ | inf | ((* (/ -1 z) (- x y)) (+ x (/ (- y x) z)) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ (* (/ -1 z) (- x y)) x) (- x y) (neg y)) |
| 1.0ms | z | @ | inf | ((* (/ -1 z) (- x y)) (+ x (/ (- y x) z)) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ (* (/ -1 z) (- x y)) x) (- x y) (neg y)) |
| 1.0ms | x | @ | -inf | ((* (/ -1 z) (- x y)) (+ x (/ (- y x) z)) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ (* (/ -1 z) (- x y)) x) (- x y) (neg y)) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 236 |
| 1 | 238 | 184 |
| 2 | 662 | 184 |
| 3 | 1811 | 184 |
| 4 | 4084 | 184 |
| 5 | 5615 | 184 |
| 6 | 6579 | 184 |
| 7 | 7005 | 184 |
| 8 | 7066 | 184 |
| 9 | 7066 | 184 |
| 0 | 8758 | 184 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y z) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(* -1 y) |
(- x y) |
y |
(+ y (* -1 x)) |
(* -1 x) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (- (/ y x) 1)) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(+ x (* -1 y)) |
(- y x) |
(+ x (* -1 (/ x z))) |
(+ x (+ (* -1 (/ x z)) (/ y z))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (- (/ x y) 1)) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x y)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (/ (- x y) z)) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ -1 z) |
(/ (+ (* -1 (- x y)) (* x z)) z) |
(+ x (* -1 (/ (- x y) z))) |
| Outputs |
|---|
(/ y z) |
(/.f64 y z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(- x (/ x z)) |
(-.f64 x (/.f64 x z)) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- y x) |
(-.f64 y x) |
(+ x (* -1 (/ x z))) |
(-.f64 x (/.f64 x z)) |
(+ x (+ (* -1 (/ x z)) (/ y z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x y)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (/ (- x y) z)) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- (+ y (* x z)) x) z) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ (+ (* -1 (- x y)) (* x z)) z) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ x (* -1 (/ (- x y) z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 79 |
| 0 | 27 | 79 |
| 1 | 104 | 77 |
| 2 | 838 | 75 |
| 0 | 8905 | 75 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y)) |
#s(approx (+ x (/ (- y x) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y))) |
(/.f64 #s(literal -1 binary64) z) |
(-.f64 x y) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
(/.f64 #s(approx (- y x) (neg.f64 x)) z) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) z) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (/.f64 (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 (+.f64 y x) z) (/.f64 (-.f64 y x) (+.f64 y x))) |
(*.f64 (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) z) (/.f64 (-.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(*.f64 (pow.f64 (/.f64 z (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) z) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 y x)))) |
(*.f64 (/.f64 (-.f64 x y) z) #s(literal -1 binary64)) |
(*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (+.f64 (/.f64 x z) (/.f64 y z)))))) |
(*.f64 (fma.f64 y z (*.f64 (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) z))) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (neg.f64 z)))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (+.f64 y x)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 y x)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) z))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (neg.f64 z)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) z)) |
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (-.f64 y x) z) #s(literal 1 binary64)) |
(*.f64 (-.f64 y x) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 y x) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)) |
(pow.f64 (/.f64 z (-.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) z) #s(literal 1 binary64)) (+.f64 y x)) |
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) #s(literal 1 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (+.f64 (/.f64 x z) (/.f64 y z))))) |
(/.f64 (*.f64 (fma.f64 y z (*.f64 (neg.f64 z) x)) #s(literal 1 binary64)) (*.f64 z z)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 #s(literal -1 binary64) z)) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 y x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (+.f64 (/.f64 x z) (/.f64 y z))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y z (*.f64 (neg.f64 z) x))) (*.f64 z z)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (+.f64 y x) z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 z (+.f64 y x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 z (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) z)) |
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (pow.f64 z #s(literal -1 binary64))) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (neg.f64 (+.f64 y x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 x) z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 x) z) (/.f64 y z))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 x) z))) (-.f64 (/.f64 y z) (/.f64 (neg.f64 x) z))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 x) z) #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 x) z) (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y z))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 x) z)) (*.f64 (/.f64 y z) (/.f64 (neg.f64 x) z))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) z)) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (+.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) z)) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)) (/.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)))) (+.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)) (/.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)) (*.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) z)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (+.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) z) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) z)) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)) (*.f64 (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x) (*.f64 x x))) (*.f64 (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64))) (+.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 x x))) (+.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) z) x)) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) z)) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) z)) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x))) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- x y) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- x y) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- x y) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z) x)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 x x))) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) z)) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) z) x))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (+.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) z)) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) z) #s(literal -1 binary64) x) |
(fma.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 #s(approx (- x y) (neg.f64 y))) x) |
(fma.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) z) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x) |
(fma.f64 #s(literal 1 binary64) x (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z))) |
(fma.f64 #s(approx (- x y) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z) x) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z))) |
(fma.f64 x #s(literal 1 binary64) (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (- x y) (neg.f64 y)) z) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) z))) (/.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (+.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) z)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x))) |
(+.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)))) |
(+.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x) |
(+.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z))) |
(*.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (- x y) (neg.f64 y))) |
(*.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- x y) (neg.f64 y)))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 (neg.f64 #s(approx (- x y) (neg.f64 y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- x y) (neg.f64 y)))) |
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) y) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 0 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 y) y) y) |
(/.f64 (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 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 y y) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) |
(neg.f64 y) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1 binary64) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
Compiled 10 218 to 1 369 computations (86.6% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 422 | 0 | 422 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 4 | 4 |
| Total | 422 | 7 | 429 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 72.1% | (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) |
| ✓ | 100.0% | (+.f64 x (/.f64 (-.f64 y x) z)) |
| ✓ | 69.7% | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
| ✓ | 32.3% | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
| ✓ | 42.8% | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| ✓ | 62.4% | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
| ✓ | 69.5% | #s(approx (+ x (/ (- y x) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y))) |
Compiled 180 to 91 computations (49.4% saved)
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(+.f64 x (/.f64 (-.f64 y x) z)) |
#s(approx (+ x (/ (- y x) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
4 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (+.f64 x (/.f64 (-.f64 y x) z)) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
4 calls:
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.4% | 3 | x |
| 81.2% | 3 | y |
| 89.3% | 3 | z |
| 77.4% | 3 | (+.f64 x (/.f64 (-.f64 y x) z)) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
3 calls:
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 3 | y |
| 78.0% | 3 | x |
| 66.2% | 3 | z |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
4 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.5% | 3 | z |
| 54.7% | 3 | y |
| 47.1% | 3 | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 57.8% | 3 | x |
Compiled 10 to 15 computations (-50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
4 calls:
| 1.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.8% | 1 | z |
| 42.8% | 1 | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 42.8% | 1 | y |
| 42.8% | 1 | x |
Compiled 10 to 15 computations (-50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 3.2329495749094214e-8 | 0.10988938138092676 |
| 10.0ms | -2.356246633379698e+61 | -4.426129506660578e+53 |
| 10.0ms | 288× | 0 | valid |
Compiled 478 to 372 computations (22.2% saved)
ival-div: 2.0ms (42.6% of total)ival-sub: 1.0ms (21.3% of total)ival-add: 1.0ms (21.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.4637184381222338e-39 | 1.6075254504458975e-37 |
| 11.0ms | -4.182476994308492e-79 | -9.987042960122395e-91 |
| 10.0ms | 272× | 0 | valid |
Compiled 418 to 335 computations (19.9% saved)
ival-div: 2.0ms (44.9% of total)ival-sub: 1.0ms (22.5% of total)ival-add: 1.0ms (22.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 4127078034740749.5 | 5809876485756663.0 |
| 10.0ms | -7.430199944086843e-43 | -9.74259216954611e-49 |
| 7.0ms | 192× | 0 | valid |
Compiled 334 to 252 computations (24.6% saved)
ival-sub: 1.0ms (31.6% of total)ival-div: 1.0ms (31.6% of total)ival-add: 1.0ms (31.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 161 |
| 1 | 45 | 161 |
| 2 | 54 | 161 |
| 3 | 59 | 161 |
| 4 | 62 | 161 |
| 5 | 63 | 161 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
(if (<=.f64 z #s(literal -92000000000000000963404237360526767427656345720620826230784 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 7782220156096217/144115188075855872 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))))) |
(if (<=.f64 x #s(literal -7524142493253561/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 x #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))))) |
(if (<=.f64 x #s(literal -2259756624739205/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (if (<=.f64 x #s(literal 5200000000000000 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(if (<=.f64 z #s(literal -92000000000000000963404237360526767427656345720620826230784 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 7782220156096217/144115188075855872 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))))) |
(if (<=.f64 x #s(literal -7524142493253561/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 x #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))))) |
(if (<=.f64 x #s(literal -2259756624739205/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (if (<=.f64 x #s(literal 5200000000000000 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 246 |
| 1 | 242 | 192 |
| 2 | 672 | 192 |
| 3 | 1830 | 192 |
| 4 | 4400 | 192 |
| 5 | 6645 | 192 |
| 6 | 7900 | 192 |
| 0 | 8081 | 192 |
| 0 | 71 | 173 |
| 1 | 198 | 125 |
| 2 | 553 | 125 |
| 3 | 1585 | 125 |
| 4 | 3532 | 125 |
| 5 | 5029 | 125 |
| 6 | 6483 | 125 |
| 7 | 6757 | 125 |
| 8 | 6857 | 125 |
| 9 | 6857 | 125 |
| 0 | 8119 | 124 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 190 to 72 computations (62.1% saved)
Compiled 336 to 86 computations (74.4% saved)
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