
Time bar (total: 5.3s)
| 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)
| 804.0ms | 8 256× | 0 | valid |
ival-sub: 489.0ms (80.3% of total)ival-div: 74.0ms (12.2% of total)ival-add: 36.0ms (5.9% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% 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 |
| 126.0ms | 512× | 0 | valid |
Compiled 83 to 34 computations (59% saved)
ival-add: 57.0ms (88.9% of total)ival-div: 4.0ms (6.2% of total)ival-sub: 3.0ms (4.7% 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 | 0.015625 | (/.f64 (-.f64 y x) z) |
| 12.0ms | 256× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-div: 2.0ms (43.5% of total)ival-sub: 1.0ms (21.8% of total)ival-add: 1.0ms (21.8% 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 | 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 | @ | -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)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 341 | 6 | 347 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 341 | 7 | 348 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.4% | (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
| 65.1% | (+.f64 x (/.f64 (fma.f64 z y (*.f64 (neg.f64 z) x)) (*.f64 z z))) | |
| ✓ | 100.0% | (+.f64 x (/.f64 (-.f64 y x) z)) |
| ▶ | 85.8% | #s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z)) |
| ▶ | 60.1% | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
| ▶ | 37.8% | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| ▶ | 65.1% | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
Compiled 157 to 110 computations (29.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (fma.f64 z x (-.f64 y x)) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z)) | |
| cost-diff | 192 | (/.f64 (fma.f64 z x (-.f64 y x)) z) | |
| 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 x z) | |
| cost-diff | 0 | (-.f64 x (/.f64 x z)) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 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 (/.f64 x z) x) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 704 | (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 122 |
| 0 | 29 | 119 |
| 1 | 42 | 119 |
| 2 | 71 | 119 |
| 3 | 140 | 119 |
| 4 | 324 | 119 |
| 5 | 750 | 118 |
| 6 | 1702 | 118 |
| 7 | 2980 | 118 |
| 8 | 3834 | 118 |
| 9 | 4475 | 118 |
| 10 | 4786 | 118 |
| 11 | 4948 | 118 |
| 12 | 4974 | 118 |
| 13 | 5002 | 118 |
| 14 | 5486 | 118 |
| 15 | 6104 | 118 |
| 16 | 6201 | 118 |
| 17 | 6233 | 118 |
| 18 | 6279 | 118 |
| 19 | 6307 | 118 |
| 20 | 6327 | 118 |
| 21 | 6401 | 118 |
| 22 | 6683 | 118 |
| 23 | 7413 | 118 |
| 24 | 7581 | 118 |
| 0 | 8094 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(/.f64 y z) |
y |
z |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
x |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
#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 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
y |
x |
z |
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z)) |
(/.f64 (fma.f64 z x (-.f64 y x)) z) |
(fma.f64 z x (-.f64 y x)) |
z |
x |
(-.f64 y x) |
y |
| Outputs |
|---|
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(/.f64 y z) |
y |
z |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
x |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
#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 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
y |
x |
z |
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 (-.f64 x y) z))) |
(/.f64 (fma.f64 z x (-.f64 y x)) z) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(fma.f64 z x (-.f64 y x)) |
(fma.f64 x z (-.f64 y x)) |
z |
x |
(-.f64 y x) |
y |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 z x (-.f64 y x)) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0 | #s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z)) | |
| accuracy | 9.116835632326044 | (/.f64 (fma.f64 z x (-.f64 y x)) z) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0.015625 | (/.f64 (-.f64 y x) z) | |
| accuracy | 25.52013497162473 | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (-.f64 x (/.f64 x z)) | |
| accuracy | 22.30763176574266 | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 39.789771637793486 | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (-.f64 (/.f64 x z) x) | |
| accuracy | 0.9140583716604116 | (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
| 28.0ms | 256× | 0 | valid |
Compiled 223 to 35 computations (84.3% saved)
ival-div: 7.0ms (47.4% of total)ival-sub: 4.0ms (27.1% of total)ival-add: 2.0ms (13.5% of total)ival-mult: 2.0ms (13.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(/.f64 y z) |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
(-.f64 x (/.f64 x z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
(/.f64 (fma.f64 z x (-.f64 y x)) z) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z)) |
(fma.f64 z x (-.f64 y x)) |
| Outputs |
|---|
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(* x (- (/ 1 z) 1)) |
(/ x z) |
(* x (- 1 (/ 1 z))) |
(+ (* -1 (/ x z)) (/ y z)) |
y |
(+ y (* -1 x)) |
(+ y (* x (- z 1))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(/ (* x (- z 1)) z) |
(* x (- z 1)) |
(* x (- (+ z (/ y x)) 1)) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (/ (* x (+ 1 (* -1 z))) z)) |
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z))))) |
(* -1 (* x (+ 1 (* -1 z)))) |
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x)))))) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- y x) |
(/ (- (* x z) x) z) |
(- (* x z) x) |
(- (+ y (* x z)) x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (- (+ 1 (/ (* x z) y)) (/ x y))) |
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z)))) |
(* -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 (/ (- (* x z) x) y)) 1))) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (+ x (* -1 (* x z))) z) |
x |
(- (/ x z) x) |
(+ x (* -1 (/ x z))) |
(* x z) |
(* z (- (+ x (/ y z)) (/ x z))) |
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | ((- (/ y z) (- (/ x z) x)) (/ y z) (- (/ x z) x) (/ x z) (+ x (/ (- y x) z)) (+ x (/ (- y x) z)) (- x (/ x z)) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (/ (+ (* z x) (- y x)) z) (+ x (/ (- y x) z)) (+ (* z x) (- y x))) |
| 2.0ms | z | @ | -inf | ((- (/ y z) (- (/ x z) x)) (/ y z) (- (/ x z) x) (/ x z) (+ x (/ (- y x) z)) (+ x (/ (- y x) z)) (- x (/ x z)) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (/ (+ (* z x) (- y x)) z) (+ x (/ (- y x) z)) (+ (* z x) (- y x))) |
| 2.0ms | x | @ | -inf | ((- (/ y z) (- (/ x z) x)) (/ y z) (- (/ x z) x) (/ x z) (+ x (/ (- y x) z)) (+ x (/ (- y x) z)) (- x (/ x z)) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (/ (+ (* z x) (- y x)) z) (+ x (/ (- y x) z)) (+ (* z x) (- y x))) |
| 1.0ms | x | @ | inf | ((- (/ y z) (- (/ x z) x)) (/ y z) (- (/ x z) x) (/ x z) (+ x (/ (- y x) z)) (+ x (/ (- y x) z)) (- x (/ x z)) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (/ (+ (* z x) (- y x)) z) (+ x (/ (- y x) z)) (+ (* z x) (- y x))) |
| 1.0ms | z | @ | 0 | ((- (/ y z) (- (/ x z) x)) (/ y z) (- (/ x z) x) (/ x z) (+ x (/ (- y x) z)) (+ x (/ (- y x) z)) (- x (/ x z)) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (/ (+ (* z x) (- y x)) z) (+ x (/ (- y x) z)) (+ (* z x) (- y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 331 |
| 1 | 367 | 269 |
| 2 | 1003 | 269 |
| 3 | 3268 | 269 |
| 4 | 5788 | 269 |
| 0 | 8136 | 261 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(* x (- (/ 1 z) 1)) |
(/ x z) |
(* x (- 1 (/ 1 z))) |
(+ (* -1 (/ x z)) (/ y z)) |
y |
(+ y (* -1 x)) |
(+ y (* x (- z 1))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(/ (* x (- z 1)) z) |
(* x (- z 1)) |
(* x (- (+ z (/ y x)) 1)) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (/ (* x (+ 1 (* -1 z))) z)) |
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z))))) |
(* -1 (* x (+ 1 (* -1 z)))) |
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x)))))) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- y x) |
(/ (- (* x z) x) z) |
(- (* x z) x) |
(- (+ y (* x z)) x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (- (+ 1 (/ (* x z) y)) (/ x y))) |
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z)))) |
(* -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 (/ (- (* x z) x) y)) 1))) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (+ x (* -1 (* x z))) z) |
x |
(- (/ x z) x) |
(+ x (* -1 (/ x z))) |
(* x z) |
(* z (- (+ x (/ y z)) (/ x z))) |
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z))))) |
| Outputs |
|---|
(/ y z) |
(/.f64 y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* x (- z 1))) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(* 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) |
(/ (* x (- z 1)) z) |
(-.f64 x (/.f64 x z)) |
(* x (- z 1)) |
(fma.f64 x z (neg.f64 x)) |
(* x (- (+ z (/ y x)) 1)) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(* -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 (/ 1 z)))) |
(-.f64 (/.f64 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 (+ 1 (* -1 z))) z)) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z))))) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(* -1 (* x (+ 1 (* -1 z)))) |
(fma.f64 x z (neg.f64 x)) |
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(- 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) |
(/ (- (* x z) x) z) |
(-.f64 x (/.f64 x z)) |
(- (* x z) x) |
(fma.f64 x z (neg.f64 x)) |
(- (+ y (* x z)) x) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(* 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) |
(* y (- (+ 1 (/ (* x z) y)) (/ x y))) |
(fma.f64 (fma.f64 (/.f64 x y) z #s(literal 1 binary64)) y (neg.f64 x)) |
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z)))) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(* -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) |
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1))) |
(fma.f64 (fma.f64 (/.f64 x y) z #s(literal 1 binary64)) y (neg.f64 x)) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- (+ y (* x z)) x) z) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
x |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(+ x (* -1 (/ x z))) |
(-.f64 x (/.f64 x z)) |
(* x z) |
(*.f64 x z) |
(* z (- (+ x (/ y z)) (/ x z))) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z))) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z))))) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 100 |
| 0 | 29 | 98 |
| 1 | 129 | 98 |
| 2 | 1284 | 98 |
| 0 | 8667 | 98 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(/.f64 y z) |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
(-.f64 x (/.f64 x z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
(/.f64 (fma.f64 z x (-.f64 y x)) z) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z)) |
(fma.f64 z x (-.f64 y x)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.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 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 x z) x) (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 (/.f64 x z) x) (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.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 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (-.f64 y x) z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 x z) x) (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) x)) (*.f64 (/.f64 z y) (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x))))) (neg.f64 (*.f64 (/.f64 z y) (+.f64 (/.f64 x z) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (*.f64 (/.f64 z y) (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (*.f64 (/.f64 z y) (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 y) (+.f64 (/.f64 x z) x)) (*.f64 (neg.f64 z) (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x))))) (neg.f64 (*.f64 (neg.f64 z) (+.f64 (/.f64 x z) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 y) (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (*.f64 (neg.f64 z) (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y (+.f64 (/.f64 x z) x)) (*.f64 z (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x))))) (neg.f64 (*.f64 z (+.f64 (/.f64 x z) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (*.f64 z (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (*.f64 z (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z))) (*.f64 (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 2 binary64)))) (*.f64 (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)))) |
(/.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)))) (*.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 x (/.f64 (-.f64 y x) z)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 x z) x) (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (*.f64 (fma.f64 (-.f64 (/.f64 x z) x) (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 (/.f64 x z) x) (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 x z) x) (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (-.f64 (/.f64 x z) (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 z)) (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 (neg.f64 (neg.f64 z)) (-.f64 (/.f64 x z) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 x z) (neg.f64 x))))) (*.f64 (neg.f64 (neg.f64 z)) (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (neg.f64 (neg.f64 z)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 x z) (neg.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (+.f64 (/.f64 x z) x))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x))))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (+.f64 (/.f64 x z) x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (+.f64 (/.f64 x z) x)) (*.f64 (neg.f64 (neg.f64 z)) (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 (neg.f64 (neg.f64 z)) (+.f64 (/.f64 x z) x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (/.f64 (+.f64 (/.f64 x z) x) (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 (neg.f64 (neg.f64 z)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 z)) (/.f64 (+.f64 (/.f64 x z) x) (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (/.f64 (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (neg.f64 (neg.f64 z)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 z)) (/.f64 (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (*.f64 (neg.f64 (neg.f64 z)) (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (neg.f64 (neg.f64 z)) (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (-.f64 (/.f64 x z) (neg.f64 x))) (*.f64 z (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 z (-.f64 (/.f64 x z) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 x z) (neg.f64 x))))) (*.f64 z (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 z (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 x z) (neg.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (neg.f64 (+.f64 (/.f64 x z) x))) (*.f64 z (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x))))) (*.f64 z (neg.f64 (+.f64 (/.f64 x z) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (neg.f64 (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))) (*.f64 z (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 z (neg.f64 (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (+.f64 (/.f64 x z) x)) (*.f64 z (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 z (+.f64 (/.f64 x z) x))) |
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(-.f64 x (/.f64 x z)) |
(+.f64 (/.f64 (neg.f64 x) z) x) |
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#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
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(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (fma.f64 x z (neg.f64 (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x z (neg.f64 (-.f64 y x))) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (-.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (*.f64 x z)) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (*.f64 x z)) |
(fma.f64 x z (-.f64 y x)) |
(fma.f64 z x (-.f64 y x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x)))) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x))))) |
(-.f64 (fma.f64 x z y) x) |
(-.f64 y (-.f64 x (*.f64 x z))) |
(+.f64 (fma.f64 x z y) (neg.f64 x)) |
(+.f64 (*.f64 x z) (-.f64 y x)) |
(+.f64 (-.f64 y x) (*.f64 x z)) |
(+.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 x z))) |
Compiled 16 681 to 2 052 computations (87.7% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 624 | 4 | 628 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 626 | 9 | 635 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 x (/.f64 (-.f64 y x) z)) |
| ✓ | 85.8% | #s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z)) |
| ▶ | 42.4% | #s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 y z (*.f64 z (neg.f64 x))) (*.f64 z z))) |
| ✓ | 60.1% | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
| ▶ | 26.4% | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
| ▶ | 27.0% | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (+ (* z x) (- y x)) (*.f64 x z)) z)) |
| ✓ | 37.8% | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| ▶ | 60.0% | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))) |
| ✓ | 65.1% | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
Compiled 131 to 87 computations (33.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 y z (*.f64 z (neg.f64 x))) (*.f64 z z))) | |
| cost-diff | 320 | (fma.f64 y z (*.f64 z (neg.f64 x))) | |
| cost-diff | 640 | (/.f64 (fma.f64 y z (*.f64 z (neg.f64 x))) (*.f64 z z)) | |
| 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 z) | |
| cost-diff | 0 | #s(approx (+ (* z x) (- y x)) (*.f64 x z)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* z x) (- y x)) (*.f64 x z)) z) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (+ (* z x) (- y x)) (*.f64 x z)) z)) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (/.f64 z (-.f64 y x)) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 167 |
| 0 | 38 | 159 |
| 1 | 60 | 157 |
| 2 | 96 | 149 |
| 3 | 193 | 149 |
| 4 | 450 | 149 |
| 5 | 1008 | 149 |
| 6 | 3000 | 149 |
| 7 | 5845 | 149 |
| 0 | 8373 | 146 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))) |
#s(literal 1 binary64) |
(/.f64 z (-.f64 y x)) |
z |
(-.f64 y x) |
y |
x |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (+ (* z x) (- y x)) (*.f64 x z)) z)) |
(/.f64 #s(approx (+ (* z x) (- y x)) (*.f64 x z)) z) |
#s(approx (+ (* z x) (- y x)) (*.f64 x z)) |
(*.f64 x z) |
x |
z |
#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 |
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 y z (*.f64 z (neg.f64 x))) (*.f64 z z))) |
(/.f64 (fma.f64 y z (*.f64 z (neg.f64 x))) (*.f64 z z)) |
(fma.f64 y z (*.f64 z (neg.f64 x))) |
y |
z |
(*.f64 z (neg.f64 x)) |
(neg.f64 x) |
x |
(*.f64 z z) |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))) |
(/.f64 (-.f64 y x) z) |
#s(literal 1 binary64) |
(/.f64 z (-.f64 y x)) |
z |
(-.f64 y x) |
y |
x |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (+ (* z x) (- y x)) (*.f64 x z)) z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (+ (* z x) (- y x)) (*.f64 z x)) z)) |
(/.f64 #s(approx (+ (* z x) (- y x)) (*.f64 x z)) z) |
(/.f64 #s(approx (+ (* z x) (- y x)) (*.f64 z x)) z) |
#s(approx (+ (* z x) (- y x)) (*.f64 x z)) |
#s(approx (+ (* z x) (- y x)) (*.f64 z x)) |
(*.f64 x z) |
(*.f64 z x) |
x |
z |
#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 |
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 y z (*.f64 z (neg.f64 x))) (*.f64 z z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(/.f64 (fma.f64 y z (*.f64 z (neg.f64 x))) (*.f64 z z)) |
(/.f64 (-.f64 y x) z) |
(fma.f64 y z (*.f64 z (neg.f64 x))) |
(*.f64 z (-.f64 y x)) |
y |
z |
(*.f64 z (neg.f64 x)) |
(*.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
(*.f64 z z) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.2539034976055602 | (fma.f64 y z (*.f64 z (neg.f64 x))) | |
| accuracy | 25.52013497162473 | #s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 y z (*.f64 z (neg.f64 x))) (*.f64 z z))) | |
| accuracy | 26.680489972276135 | (/.f64 (fma.f64 y z (*.f64 z (neg.f64 x))) (*.f64 z z)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.015625 | (/.f64 #s(approx (- y x) (neg.f64 x)) z) | |
| accuracy | 25.52013497162473 | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) | |
| accuracy | 28.75388097496082 | #s(approx (- y x) (neg.f64 x)) | |
| accuracy | 0 | (*.f64 x z) | |
| accuracy | 0 | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (+ (* z x) (- y x)) (*.f64 x z)) z)) | |
| accuracy | 9.116835632326044 | (/.f64 #s(approx (+ (* z x) (- y x)) (*.f64 x z)) z) | |
| accuracy | 37.513392102047746 | #s(approx (+ (* z x) (- y x)) (*.f64 x z)) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0.01171875 | (/.f64 z (-.f64 y x)) | |
| accuracy | 0.3555923952214227 | (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))) | |
| accuracy | 25.52013497162473 | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))) |
| 72.0ms | 256× | 0 | valid |
Compiled 281 to 47 computations (83.3% saved)
ival-mult: 24.0ms (62.9% of total)ival-div: 8.0ms (21% of total)ival-add: 3.0ms (7.9% of total)ival-sub: 2.0ms (5.2% of total)ival-neg: 1.0ms (2.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))) |
(/.f64 z (-.f64 y x)) |
(-.f64 y x) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (+ (* z x) (- y x)) (*.f64 x z)) z)) |
(/.f64 #s(approx (+ (* z x) (- y x)) (*.f64 x z)) z) |
#s(approx (+ (* z x) (- y x)) (*.f64 x z)) |
(*.f64 x z) |
#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) |
(/.f64 (fma.f64 y z (*.f64 z (neg.f64 x))) (*.f64 z z)) |
(fma.f64 y z (*.f64 z (neg.f64 x))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 y z (*.f64 z (neg.f64 x))) (*.f64 z z))) |
(*.f64 z (neg.f64 x)) |
| Outputs |
|---|
(/ y z) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(/ z y) |
(+ (/ z y) (/ (* x z) (pow y 2))) |
(+ (* x (- (/ (* x z) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ z y)) |
(+ (* x (- (* x (- (/ (* x z) (pow y 4)) (* -1 (/ z (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ z y)) |
y |
(+ y (* -1 x)) |
(+ y (* x (- z 1))) |
(* x z) |
(* -1 x) |
(* y z) |
(+ (* -1 (* x z)) (* y z)) |
(* -1 (* x z)) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* -1 (/ z x)) |
(/ (+ (* -1 z) (* -1 (/ (* y z) x))) x) |
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 2) z) (pow x 2)))) (/ (* y z) x)) x) |
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 3) z) (pow x 3)))) (+ (/ (* y z) x) (/ (* (pow y 2) z) (pow x 2)))) x) |
(* x (- (/ y x) 1)) |
(/ (* x (- z 1)) z) |
(* x (- z 1)) |
(* x (- (+ z (/ y x)) 1)) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (/ (+ z (/ (* y z) x)) x)) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y z)) x))) x)) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) x) (* -1 (* (pow y 2) z))) x)) (* y z)) x))) x)) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (/ (* x (+ 1 (* -1 z))) z)) |
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z))))) |
(* -1 (* x (+ 1 (* -1 z)))) |
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(+ (* -1 (/ z x)) (* -1 (/ (* y z) (pow x 2)))) |
(+ (* -1 (/ z x)) (* y (- (* -1 (/ (* y z) (pow x 3))) (/ z (pow x 2))))) |
(+ (* -1 (/ z x)) (* y (- (* y (- (* -1 (/ (* y z) (pow x 4))) (/ z (pow x 3)))) (/ z (pow x 2))))) |
(- y x) |
(/ (- (* x z) x) z) |
(- (* x z) x) |
(- (+ y (* x z)) x) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(/ (+ z (/ (* x z) y)) y) |
(/ (- (+ z (/ (* (pow x 2) z) (pow y 2))) (* -1 (/ (* x z) y))) y) |
(/ (- (+ z (/ (* (pow x 3) z) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* (pow x 2) z) (pow y 2))))) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (- (+ 1 (/ (* x z) y)) (/ x y))) |
(* y (+ z (* -1 (/ (* x z) y)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (* x z) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* x z) (/ (* (pow x 2) z) y)) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (* (pow x 3) z) y))) y)) (* x z)) y))) y)) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1))) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ z (- y x)) |
(/ (+ y (* -1 x)) z) |
(* z (+ y (* -1 x))) |
x |
(* z (- (+ x (/ y z)) (/ x z))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z))))) |
(* -1 (/ (+ x (* -1 y)) z)) |
(* -1 (* z (+ x (* -1 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | z | @ | -inf | ((/ 1 (/ z (- y x))) (+ x (/ (- y x) z)) (/ z (- y x)) (- y x) (+ x (/ (- y x) z)) (/ (+ (* z x) (- y x)) z) (+ (* z x) (- y x)) (* x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (/ (+ (* y z) (* z (neg x))) (* z z)) (+ (* y z) (* z (neg x))) (+ x (/ (- y x) z)) (* z (neg x))) |
| 5.0ms | z | @ | 0 | ((/ 1 (/ z (- y x))) (+ x (/ (- y x) z)) (/ z (- y x)) (- y x) (+ x (/ (- y x) z)) (/ (+ (* z x) (- y x)) z) (+ (* z x) (- y x)) (* x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (/ (+ (* y z) (* z (neg x))) (* z z)) (+ (* y z) (* z (neg x))) (+ x (/ (- y x) z)) (* z (neg x))) |
| 2.0ms | x | @ | inf | ((/ 1 (/ z (- y x))) (+ x (/ (- y x) z)) (/ z (- y x)) (- y x) (+ x (/ (- y x) z)) (/ (+ (* z x) (- y x)) z) (+ (* z x) (- y x)) (* x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (/ (+ (* y z) (* z (neg x))) (* z z)) (+ (* y z) (* z (neg x))) (+ x (/ (- y x) z)) (* z (neg x))) |
| 2.0ms | x | @ | 0 | ((/ 1 (/ z (- y x))) (+ x (/ (- y x) z)) (/ z (- y x)) (- y x) (+ x (/ (- y x) z)) (/ (+ (* z x) (- y x)) z) (+ (* z x) (- y x)) (* x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (/ (+ (* y z) (* z (neg x))) (* z z)) (+ (* y z) (* z (neg x))) (+ x (/ (- y x) z)) (* z (neg x))) |
| 2.0ms | x | @ | -inf | ((/ 1 (/ z (- y x))) (+ x (/ (- y x) z)) (/ z (- y x)) (- y x) (+ x (/ (- y x) z)) (/ (+ (* z x) (- y x)) z) (+ (* z x) (- y x)) (* x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (/ (+ (* y z) (* z (neg x))) (* z z)) (+ (* y z) (* z (neg x))) (+ x (/ (- y x) z)) (* z (neg x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 254 | 716 |
| 1 | 767 | 658 |
| 2 | 2183 | 616 |
| 3 | 6522 | 598 |
| 0 | 8354 | 557 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y z) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(/ z y) |
(+ (/ z y) (/ (* x z) (pow y 2))) |
(+ (* x (- (/ (* x z) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ z y)) |
(+ (* x (- (* x (- (/ (* x z) (pow y 4)) (* -1 (/ z (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ z y)) |
y |
(+ y (* -1 x)) |
(+ y (* x (- z 1))) |
(* x z) |
(* -1 x) |
(* y z) |
(+ (* -1 (* x z)) (* y z)) |
(* -1 (* x z)) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* -1 (/ z x)) |
(/ (+ (* -1 z) (* -1 (/ (* y z) x))) x) |
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 2) z) (pow x 2)))) (/ (* y z) x)) x) |
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 3) z) (pow x 3)))) (+ (/ (* y z) x) (/ (* (pow y 2) z) (pow x 2)))) x) |
(* x (- (/ y x) 1)) |
(/ (* x (- z 1)) z) |
(* x (- z 1)) |
(* x (- (+ z (/ y x)) 1)) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (/ (+ z (/ (* y z) x)) x)) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y z)) x))) x)) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) x) (* -1 (* (pow y 2) z))) x)) (* y z)) x))) x)) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (/ (* x (+ 1 (* -1 z))) z)) |
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z))))) |
(* -1 (* x (+ 1 (* -1 z)))) |
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(+ (* -1 (/ z x)) (* -1 (/ (* y z) (pow x 2)))) |
(+ (* -1 (/ z x)) (* y (- (* -1 (/ (* y z) (pow x 3))) (/ z (pow x 2))))) |
(+ (* -1 (/ z x)) (* y (- (* y (- (* -1 (/ (* y z) (pow x 4))) (/ z (pow x 3)))) (/ z (pow x 2))))) |
(- y x) |
(/ (- (* x z) x) z) |
(- (* x z) x) |
(- (+ y (* x z)) x) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(/ (+ z (/ (* x z) y)) y) |
(/ (- (+ z (/ (* (pow x 2) z) (pow y 2))) (* -1 (/ (* x z) y))) y) |
(/ (- (+ z (/ (* (pow x 3) z) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* (pow x 2) z) (pow y 2))))) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (- (+ 1 (/ (* x z) y)) (/ x y))) |
(* y (+ z (* -1 (/ (* x z) y)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (* x z) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* x z) (/ (* (pow x 2) z) y)) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (* (pow x 3) z) y))) y)) (* x z)) y))) y)) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1))) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ z (- y x)) |
(/ (+ y (* -1 x)) z) |
(* z (+ y (* -1 x))) |
x |
(* z (- (+ x (/ y z)) (/ x z))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z))))) |
(* -1 (/ (+ x (* -1 y)) z)) |
(* -1 (* z (+ x (* -1 y)))) |
| 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) |
(/ z y) |
(/.f64 z y) |
(+ (/ z y) (/ (* x z) (pow y 2))) |
(/.f64 (fma.f64 (/.f64 x y) z z) y) |
(+ (* x (- (/ (* x z) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ z y)) |
(/.f64 (fma.f64 x (/.f64 (fma.f64 (/.f64 x y) z z) y) z) y) |
(+ (* x (- (* x (- (/ (* x z) (pow y 4)) (* -1 (/ z (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ z y)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) z (/.f64 z (pow.f64 y #s(literal 3 binary64)))) x (/.f64 (/.f64 z y) y)) x (/.f64 z y)) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* x (- z 1))) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(* x z) |
(*.f64 x z) |
(* -1 x) |
(neg.f64 x) |
(* y z) |
(*.f64 y z) |
(+ (* -1 (* x z)) (* y z)) |
(*.f64 (-.f64 y x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* -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) |
(* -1 (/ z x)) |
(/.f64 (neg.f64 z) x) |
(/ (+ (* -1 z) (* -1 (/ (* y z) x))) x) |
(*.f64 (/.f64 z x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 2) z) (pow x 2)))) (/ (* y z) x)) x) |
(/.f64 (fma.f64 (/.f64 z x) (fma.f64 (/.f64 y x) y y) z) (neg.f64 x)) |
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 3) z) (pow x 3)))) (+ (/ (* y z) x) (/ (* (pow y 2) z) (pow x 2)))) x) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) z (fma.f64 (/.f64 z x) (fma.f64 (/.f64 y x) y y) z))) x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(/ (* x (- z 1)) z) |
(-.f64 x (/.f64 x z)) |
(* x (- z 1)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
(* x (- (+ z (/ y x)) 1)) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(*.f64 (-.f64 y x) z) |
(* -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 (/ (+ z (/ (* y z) x)) x)) |
(*.f64 (/.f64 z x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y z)) x))) x)) |
(/.f64 (fma.f64 (/.f64 z x) (fma.f64 (/.f64 y x) y y) z) (neg.f64 x)) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) x) (* -1 (* (pow y 2) z))) x)) (* y z)) x))) x)) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) z (fma.f64 (/.f64 z x) (fma.f64 (/.f64 y x) y y) z))) x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (/ (* x (+ 1 (* -1 z))) z)) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z))))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* x (+ 1 (* -1 z)))) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(*.f64 (-.f64 y x) z) |
(- x (/ x z)) |
(-.f64 x (/.f64 x z)) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ (* -1 (/ z x)) (* -1 (/ (* y z) (pow x 2)))) |
(*.f64 (/.f64 z x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(+ (* -1 (/ z x)) (* y (- (* -1 (/ (* y z) (pow x 3))) (/ z (pow x 2))))) |
(/.f64 (fma.f64 (/.f64 z x) (fma.f64 (/.f64 y x) y y) z) (neg.f64 x)) |
(+ (* -1 (/ z x)) (* y (- (* y (- (* -1 (/ (* y z) (pow x 4))) (/ z (pow x 3)))) (/ z (pow x 2))))) |
(fma.f64 (neg.f64 (*.f64 y (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) y (/.f64 z (pow.f64 x #s(literal 3 binary64)))))) y (*.f64 (/.f64 z x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))) |
(- y x) |
(-.f64 y x) |
(/ (- (* x z) x) z) |
(-.f64 x (/.f64 x z)) |
(- (* x z) x) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
(- (+ y (* x z)) x) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(fma.f64 (/.f64 x y) y (/.f64 (-.f64 y x) z)) |
(/ (+ z (/ (* x z) y)) y) |
(/.f64 (fma.f64 (/.f64 x y) z z) y) |
(/ (- (+ z (/ (* (pow x 2) z) (pow y 2))) (* -1 (/ (* x z) y))) y) |
(/.f64 (fma.f64 x (/.f64 (fma.f64 (/.f64 x y) z z) y) z) y) |
(/ (- (+ z (/ (* (pow x 3) z) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* (pow x 2) z) (pow y 2))))) y) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) z (fma.f64 x (/.f64 (fma.f64 (/.f64 x y) z z) y) z)) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (- (+ 1 (/ (* x z) y)) (/ x y))) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(* y (+ z (* -1 (/ (* x z) y)))) |
(*.f64 (-.f64 y x) z) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(fma.f64 (/.f64 x y) y (/.f64 (-.f64 y x) z)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (* x z) y))) y)) |
(/.f64 (fma.f64 (/.f64 x y) z z) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* x z) (/ (* (pow x 2) z) y)) y))) y)) |
(/.f64 (fma.f64 x (/.f64 (fma.f64 (/.f64 x y) z z) y) z) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (* (pow x 3) z) y))) y)) (* x z)) y))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 x z (/.f64 (*.f64 x (*.f64 x (fma.f64 (/.f64 x y) z z))) y)) y) z) y) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z)))) |
(fma.f64 (/.f64 x y) y (/.f64 (-.f64 y x) z)) |
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1))) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(*.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x y) z) |
(/ z (- y x)) |
(/.f64 z (-.f64 y x)) |
(/ (+ y (* -1 x)) z) |
(/.f64 (-.f64 y x) z) |
(* z (+ y (* -1 x))) |
(*.f64 (-.f64 y x) z) |
x |
(* z (- (+ x (/ y z)) (/ x z))) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z))))) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(* -1 (/ (+ x (* -1 y)) z)) |
(/.f64 (-.f64 y x) z) |
(* -1 (* z (+ x (* -1 y)))) |
(*.f64 (-.f64 y x) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 151 |
| 0 | 38 | 135 |
| 1 | 142 | 133 |
| 2 | 1124 | 133 |
| 0 | 8470 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))) |
(/.f64 z (-.f64 y x)) |
(-.f64 y x) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (+ (* z x) (- y x)) (*.f64 x z)) z)) |
(/.f64 #s(approx (+ (* z x) (- y x)) (*.f64 x z)) z) |
#s(approx (+ (* z x) (- y x)) (*.f64 x z)) |
(*.f64 x z) |
#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) |
(/.f64 (fma.f64 y z (*.f64 z (neg.f64 x))) (*.f64 z z)) |
(fma.f64 y z (*.f64 z (neg.f64 x))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 y z (*.f64 z (neg.f64 x))) (*.f64 z z))) |
(*.f64 z (neg.f64 x)) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 x y) z) (/.f64 (-.f64 y x) (+.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) z) (/.f64 (-.f64 y x) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) z) (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 z z)) (/.f64 (*.f64 z (-.f64 y x)) (fma.f64 (*.f64 (neg.f64 x) z) (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) z) (/.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 x y))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) z) (/.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) z) (/.f64 (pow.f64 (fma.f64 (*.f64 (neg.f64 x) z) (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 z z) (/.f64 (-.f64 y x) z)) |
(*.f64 (pow.f64 (/.f64 z (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #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 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (neg.f64 x) z) (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (pow.f64 z #s(literal -2 binary64))) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (pow.f64 z #s(literal -2 binary64))) (pow.f64 (fma.f64 (*.f64 (neg.f64 x) z) (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z) (pow.f64 (+.f64 x y) #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 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 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 (/.f64 y z) (/.f64 x z)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 z (-.f64 y x)) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 #s(literal -1 binary64) y x)) |
(*.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 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (/.f64 x z)))))) |
(*.f64 (neg.f64 (/.f64 (*.f64 z (-.f64 y x)) z)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (*.f64 z (-.f64 y x)) z) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) z))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (*.f64 z (+.f64 x y)) #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 (*.f64 z (+.f64 x y)) (*.f64 z z)))) |
(*.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 (*.f64 z z) (*.f64 z (+.f64 x y))))) |
(*.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 z (-.f64 y x))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 z (-.f64 y x)) z)) |
(*.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 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) 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 x (+.f64 x y) (*.f64 y y))))) |
(*.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 (fma.f64 (*.f64 (neg.f64 x) z) (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 z z)))) |
(*.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 (*.f64 z z) (fma.f64 (*.f64 (neg.f64 x) z) (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) y x)) (/.f64 #s(literal -1 binary64) (*.f64 z z))) |
(*.f64 (fma.f64 #s(literal -1 binary64) y x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) y x) z)) |
(*.f64 (*.f64 z (-.f64 y x)) (pow.f64 z #s(literal -2 binary64))) |
(*.f64 (/.f64 (-.f64 y x) z) (/.f64 (*.f64 z (+.f64 x y)) (*.f64 z (+.f64 x y)))) |
(*.f64 (/.f64 (-.f64 y x) z) #s(literal 1 binary64)) |
(*.f64 (-.f64 y x) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) z)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (-.f64 y x) z) #s(literal 1 binary64)) |
(pow.f64 (/.f64 z (-.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) (*.f64 (pow.f64 z #s(literal -1 binary64)) y)) (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x)))) (-.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x)))) |
(/.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 (pow.f64 z #s(literal -1 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) (*.f64 (pow.f64 z #s(literal -1 binary64)) y) (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x)))))) |
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(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (*.f64 (*.f64 z z) (fma.f64 (*.f64 (neg.f64 x) z) (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (neg.f64 x) z) (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 z z))) |
(/.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) y x)) (*.f64 (neg.f64 z) z)) |
(/.f64 (fma.f64 #s(literal -1 binary64) y x) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (/.f64 z (fma.f64 #s(literal -1 binary64) y x))) |
(/.f64 (*.f64 z (-.f64 y x)) (*.f64 z z)) |
(/.f64 (/.f64 (-.f64 y x) z) #s(literal 1 binary64)) |
(/.f64 (-.f64 y x) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 x y)) (*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (pow.f64 z #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 x) z) (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (pow.f64 z #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (-.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 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (/.f64 x z)))) (-.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 (*.f64 (*.f64 z (+.f64 x y)) (*.f64 z z)) (-.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 (*.f64 (fma.f64 (*.f64 (neg.f64 x) z) (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 z z)) (-.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 (*.f64 z (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 x y) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 z z) (*.f64 z (+.f64 x y))) (-.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 (*.f64 z (fma.f64 x (+.f64 x y) (*.f64 y y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 z z) (fma.f64 (*.f64 (neg.f64 x) z) (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (-.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 z (-.f64 y x))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) y x) z)) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 x) z)) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) y (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x))) |
(fma.f64 y (pow.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(fma.f64 #s(literal 1 binary64) (/.f64 y z) (/.f64 (neg.f64 x) z)) |
(-.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) (/.f64 x z))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) (/.f64 x z)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (/.f64 x z))))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (/.f64 x z)))))) |
(-.f64 (/.f64 (*.f64 y y) (*.f64 z (+.f64 x y))) (/.f64 (*.f64 x x) (*.f64 z (+.f64 x y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (*.f64 z (+.f64 x y)))) (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (*.f64 z (+.f64 x y))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 z (fma.f64 x (+.f64 x y) (*.f64 y y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)) (/.f64 (fma.f64 #s(literal -1 binary64) y x) z)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))) (*.f64 z z)) (/.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))) (*.f64 z z))) |
(-.f64 (/.f64 (*.f64 y z) (*.f64 z z)) (/.f64 (*.f64 x z) (*.f64 z z))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) z) (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) z)) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y))) z) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y))) z)) |
(-.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 (/.f64 x z) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (fma.f64 #s(literal -1 binary64) y x) z)) |
(-.f64 (/.f64 y z) (/.f64 x z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) y x) z)) |
(exp.f64 (log.f64 (/.f64 (-.f64 y x) z))) |
(+.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x))) |
(+.f64 (/.f64 y z) (/.f64 (neg.f64 x) z)) |
(*.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z)))) |
(*.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) y x)) (*.f64 z (+.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (+.f64 x y)))) |
(*.f64 (neg.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) (neg.f64 (fma.f64 (*.f64 (neg.f64 x) z) (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (*.f64 z (-.f64 y x)) z) (/.f64 (*.f64 z (+.f64 x y)) (+.f64 x y))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (pow.f64 (*.f64 z (+.f64 x y)) #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 x z) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y z) z) x))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (neg.f64 x) z) (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) y x))) |
(*.f64 (*.f64 z (-.f64 y x)) #s(literal 1 binary64)) |
(*.f64 z (-.f64 y x)) |
(*.f64 #s(literal 1 binary64) (*.f64 z (-.f64 y x))) |
(pow.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y)))) (*.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))) (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))))) (+.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))) (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))) (fma.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))) (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))) (*.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))) (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) y x)) (*.f64 z (+.f64 x y)))) (neg.f64 (*.f64 (neg.f64 z) (+.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 x) z) (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))) (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))) (*.f64 (*.f64 z (+.f64 x y)) (*.f64 z (+.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) y x)) (*.f64 z (+.f64 x y))) (*.f64 (neg.f64 z) (+.f64 x y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y z) z) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (neg.f64 x) z) (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 z (+.f64 x y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y z) z) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 x) z) (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal -1 binary64)))) |
(/.f64 z (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y z) z) x))) (-.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 z (-.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal -1 binary64))) |
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) y x))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y z) y) z) (/.f64 z (+.f64 x y)) (neg.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y z) z) z) (/.f64 y (+.f64 x y)) (neg.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 y y) z) (/.f64 (*.f64 z z) (+.f64 x y)) (neg.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 z z) z) (/.f64 (*.f64 y y) (+.f64 x y)) (neg.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))))) |
(fma.f64 (/.f64 z z) (/.f64 (*.f64 y (*.f64 y z)) (+.f64 x y)) (neg.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 y z) z) (/.f64 (*.f64 y z) (+.f64 x y)) (neg.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))))) |
(fma.f64 (*.f64 z #s(literal -1 binary64)) x (*.f64 y z)) |
(fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))))) |
(fma.f64 (/.f64 y z) (/.f64 (*.f64 z (*.f64 y z)) (+.f64 x y)) (neg.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))))) |
(fma.f64 (neg.f64 z) x (*.f64 y z)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x z) (*.f64 y z)) |
(fma.f64 (neg.f64 x) z (*.f64 y z)) |
(fma.f64 x (neg.f64 z) (*.f64 y z)) |
(fma.f64 y z (*.f64 (neg.f64 x) z)) |
(fma.f64 z (neg.f64 x) (*.f64 y z)) |
(fma.f64 z y (*.f64 (neg.f64 x) z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))) (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y)))) |
(-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) y x))) |
(-.f64 (*.f64 y z) (*.f64 x z)) |
(+.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))) (neg.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 z (+.f64 x y))))) |
(+.f64 (*.f64 y z) (*.f64 (neg.f64 x) z)) |
(+.f64 (*.f64 (neg.f64 x) z) (*.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(*.f64 (*.f64 z #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 z) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x z)) |
(*.f64 (neg.f64 x) z) |
(*.f64 x (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 x z))) |
(/.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x z))))) |
(neg.f64 (*.f64 x z)) |
(-.f64 #s(literal 0 binary64) (*.f64 x z)) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) z)) |
Compiled 11 941 to 1 748 computations (85.4% saved)
9 alts after pruning (0 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 456 | 0 | 456 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 5 | 5 |
| Total | 456 | 9 | 465 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 x (/.f64 (-.f64 y x) z)) |
| ✓ | 85.8% | #s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z)) |
| ✓ | 42.4% | #s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 y z (*.f64 z (neg.f64 x))) (*.f64 z z))) |
| ✓ | 60.1% | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
| ✓ | 26.4% | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
| ✓ | 27.0% | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (+ (* z x) (- y x)) (*.f64 x z)) z)) |
| ✓ | 37.8% | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| ✓ | 60.0% | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))) |
| ✓ | 65.1% | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
Compiled 284 to 131 computations (53.9% 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)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (+ (* z x) (- y x)) (*.f64 x z)) z)) |
(+.f64 x (/.f64 (-.f64 y x) z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))) |
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 y z (*.f64 z (neg.f64 x))) (*.f64 z z))) |
(+.f64 x (/.f64 (fma.f64 z y (*.f64 (neg.f64 z) x)) (*.f64 z z))) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
4 calls:
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | z |
| 4.0ms | (+.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)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (+ (* z x) (- y x)) (*.f64 x z)) 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:
| 5.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 3 | x |
| 82.3% | 3 | y |
| 87.2% | 3 | z |
| 76.3% | 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 y z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.8% | 3 | x |
| 79.4% | 3 | y |
| 68.9% | 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 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)) |
4 calls:
| 3.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.2% | 3 | z |
| 41.4% | 3 | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 48.5% | 3 | x |
| 51.6% | 3 | y |
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 | z |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.8% | 1 | z |
| 37.8% | 1 | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 37.8% | 1 | x |
| 37.8% | 1 | y |
Compiled 10 to 15 computations (-50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.2794184557617082e+24 | 1.265333504034143e+33 |
| 11.0ms | -4756.159011303727 | -3.7411164138933305e-5 |
| 12.0ms | 288× | 0 | valid |
Compiled 478 to 372 computations (22.2% saved)
ival-sub: 2.0ms (38% of total)ival-div: 2.0ms (38% of total)ival-add: 1.0ms (19% 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 |
|---|---|---|
| 13.0ms | 4.9946178408014635e+234 | 4.8630884433559387e+238 |
| 10.0ms | -4345935056315838500.0 | -2501175565427284.0 |
| 14.0ms | 256× | 0 | valid |
Compiled 394 to 316 computations (19.8% saved)
ival-div: 2.0ms (42.5% of total)ival-sub: 1.0ms (21.2% of total)ival-add: 1.0ms (21.2% 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 |
|---|---|---|
| 13.0ms | 1.726942464764938e-30 | 1.9116627690116684e-26 |
| 9.0ms | -3.763370683041305e-75 | -6.987434383529751e-77 |
| 10.0ms | 240× | 0 | valid |
Compiled 415 to 312 computations (24.8% saved)
ival-div: 2.0ms (46.1% of total)ival-sub: 1.0ms (23.1% of total)ival-add: 1.0ms (23.1% 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 | 154 |
| 1 | 45 | 154 |
| 2 | 54 | 154 |
| 3 | 59 | 154 |
| 4 | 62 | 154 |
| 5 | 63 | 154 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
(if (<=.f64 z #s(literal -1261007895663739/9007199254740992 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 130000000000000001177626345472 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 y #s(literal -65000000000000000 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 5000000000000000265830098313298245178016947287622550486678486493521945761146082797297502145674652454512860840906256046981475222569026826936584608154510201938349585198667111756724875341881416615617731891764574033605618465285179569078272 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)))) |
(if (<=.f64 y #s(literal -2770368927814901/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 7992587079153375/1427247692705959881058285969449495136382746624 binary64)) #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 y z)) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(if (<=.f64 z #s(literal -1261007895663739/9007199254740992 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 130000000000000001177626345472 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 y #s(literal -65000000000000000 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 5000000000000000265830098313298245178016947287622550486678486493521945761146082797297502145674652454512860840906256046981475222569026826936584608154510201938349585198667111756724875341881416615617731891764574033605618465285179569078272 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)))) |
(if (<=.f64 y #s(literal -2770368927814901/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 7992587079153375/1427247692705959881058285969449495136382746624 binary64)) #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 y z)) |
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 |
| 0 | 122 | 331 |
| 1 | 367 | 269 |
| 2 | 1003 | 269 |
| 3 | 3268 | 269 |
| 4 | 5788 | 269 |
| 0 | 8136 | 261 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 183 to 72 computations (60.7% saved)
Compiled 322 to 86 computations (73.3% saved)
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