
Time bar (total: 4.4s)
| 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)
| 468.0ms | 8 256× | 0 | valid |
ival-div: 96.0ms (37.6% of total)ival-sub: 76.0ms (29.7% of total)ival-add: 75.0ms (29.3% of total)ival-true: 6.0ms (2.3% of total)ival-assert: 3.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 y x) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 y x) z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 24.0ms | 512× | 0 | valid |
Compiled 83 to 34 computations (59% saved)
ival-div: 4.0ms (41.6% of total)ival-sub: 3.0ms (31.2% of total)ival-add: 2.0ms (20.8% 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 | (+.f64 x (/.f64 (-.f64 y x) z)) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 y x) z) |
| 11.0ms | 256× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-div: 2.0ms (44.8% of total)ival-sub: 1.0ms (22.4% of total)ival-add: 1.0ms (22.4% 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 | |
|---|---|---|---|---|
| 84.0ms | x | @ | 0 | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1.0ms | z | @ | 0 | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1.0ms | x | @ | inf | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1.0ms | x | @ | -inf | ((+ 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)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 344 | 3 | 347 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 344 | 4 | 348 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 x (/.f64 (-.f64 y x) z)) |
| ▶ | 65.6% | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
| ▶ | 42.3% | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| ▶ | 60.1% | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
Compiled 44 to 32 computations (27.3% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (/.f64 (-.f64 y x) z) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (-.f64 x (/.f64 x z)) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 63 |
| 0 | 19 | 63 |
| 1 | 25 | 63 |
| 2 | 41 | 63 |
| 3 | 65 | 63 |
| 4 | 110 | 63 |
| 5 | 195 | 63 |
| 6 | 377 | 63 |
| 7 | 651 | 63 |
| 8 | 869 | 63 |
| 9 | 931 | 63 |
| 10 | 982 | 63 |
| 11 | 1025 | 63 |
| 0 | 1025 | 63 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
(-.f64 x (/.f64 x z)) |
x |
(/.f64 x z) |
z |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
y |
x |
z |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
(-.f64 x (/.f64 x z)) |
x |
(/.f64 x z) |
z |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
y |
x |
z |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 y x) z) | |
| accuracy | 22.021112561468883 | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 36.92874730627282 | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 x z)) | |
| accuracy | 25.509891572056656 | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
| 24.0ms | 256× | 0 | valid |
Compiled 112 to 25 computations (77.7% saved)
ival-div: 8.0ms (67.3% of total)ival-sub: 3.0ms (25.2% of total)ival-add: 1.0ms (8.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
(-.f64 x (/.f64 x z)) |
(/.f64 x z) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
(/.f64 y z) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
| Outputs |
|---|
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(* x (- 1 (/ 1 z))) |
(/ x z) |
(+ (* -1 (/ x z)) (/ y z)) |
y |
(+ y (* -1 x)) |
(* 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 z) x) z) |
x |
(+ x (* -1 (/ x z))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | ((+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1.0ms | x | @ | -inf | ((+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1.0ms | x | @ | inf | ((+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1.0ms | z | @ | 0 | ((+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1.0ms | z | @ | inf | ((+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 174 |
| 1 | 202 | 136 |
| 2 | 563 | 136 |
| 3 | 1609 | 136 |
| 4 | 3900 | 136 |
| 5 | 6076 | 136 |
| 6 | 7788 | 136 |
| 0 | 8178 | 136 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(* x (- 1 (/ 1 z))) |
(/ x z) |
(+ (* -1 (/ x z)) (/ y z)) |
y |
(+ y (* -1 x)) |
(* 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 z) x) z) |
x |
(+ x (* -1 (/ x z))) |
| Outputs |
|---|
(/ y z) |
(/.f64 y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(/ x z) |
(/.f64 x z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(- x (/ x z)) |
(-.f64 x (/.f64 x z)) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- y x) |
(-.f64 y x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- (+ y (* x z)) x) z) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ (- (* x z) x) z) |
(-.f64 x (/.f64 x z)) |
x |
(+ x (* -1 (/ x z))) |
(-.f64 x (/.f64 x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 56 |
| 0 | 19 | 56 |
| 1 | 75 | 56 |
| 2 | 653 | 56 |
| 0 | 8800 | 56 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
(-.f64 x (/.f64 x z)) |
(/.f64 x z) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
(/.f64 y z) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
(*.f64 (/.f64 (*.f64 x (-.f64 x (/.f64 (/.f64 x z) z))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) x)))) |
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#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.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))) (neg.f64 (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x)))) |
(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 x (+.f64 y x)) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 x (+.f64 y x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x (+.f64 y x)) (-.f64 (*.f64 x (+.f64 y x)) (*.f64 y y)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))))) |
(fma.f64 (/.f64 (*.f64 y y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 y x)))) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x) (neg.f64 (/.f64 (*.f64 x x) (+.f64 y x)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x y) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) y) |
(fma.f64 #s(literal 1 binary64) y (neg.f64 x)) |
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 y x)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))))) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) y) |
(fma.f64 y #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 (+.f64 y #s(literal 0 binary64)) x) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x))))) |
(-.f64 #s(literal 0 binary64) (-.f64 x y)) |
(-.f64 y x) |
(+.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))))) |
(+.f64 (neg.f64 x) y) |
(+.f64 y (neg.f64 x)) |
Compiled 10 522 to 1 423 computations (86.5% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 412 | 1 | 413 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 1 | 1 |
| Total | 412 | 5 | 417 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 x (/.f64 (-.f64 y x) z)) |
| ✓ | 65.6% | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
| ▶ | 27.4% | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
| ✓ | 42.3% | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| ✓ | 60.1% | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
Compiled 60 to 42 computations (30% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 0 | 12 | 34 |
| 1 | 21 | 34 |
| 2 | 32 | 34 |
| 3 | 54 | 34 |
| 4 | 96 | 34 |
| 5 | 177 | 34 |
| 6 | 360 | 34 |
| 7 | 649 | 34 |
| 8 | 921 | 34 |
| 9 | 1004 | 34 |
| 10 | 1067 | 34 |
| 11 | 1131 | 34 |
| 12 | 1150 | 34 |
| 13 | 1162 | 34 |
| 14 | 1186 | 34 |
| 15 | 1195 | 34 |
| 0 | 1195 | 34 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#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 |
| Outputs |
|---|
#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 |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (- y x) (neg.f64 x)) z) | |
| accuracy | 22.021112561468883 | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) | |
| accuracy | 32.553138443080925 | #s(approx (- y x) (neg.f64 x)) |
| 20.0ms | 256× | 0 | valid |
Compiled 55 to 19 computations (65.5% saved)
ival-div: 9.0ms (69.1% of total)ival-sub: 1.0ms (7.7% of total)ival-add: 1.0ms (7.7% of total)ival-neg: 1.0ms (7.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#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) |
| Outputs |
|---|
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
y |
(+ y (* -1 x)) |
(* -1 x) |
(* x (- 1 (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* x (- (/ y x) 1)) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- y x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (/ x y) 1))) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
x |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x)) |
| 1.0ms | x | @ | -inf | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x)) |
| 0.0ms | y | @ | inf | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x)) |
| 0.0ms | x | @ | 0 | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x)) |
| 0.0ms | z | @ | 0 | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 155 |
| 1 | 198 | 125 |
| 2 | 553 | 125 |
| 3 | 1583 | 125 |
| 4 | 3520 | 125 |
| 5 | 5006 | 125 |
| 6 | 6456 | 125 |
| 7 | 6744 | 125 |
| 8 | 6842 | 125 |
| 9 | 6842 | 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)) |
(* -1 x) |
(* x (- 1 (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* 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 (/.f64 (-.f64 y x) z) x) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* 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 (/.f64 (-.f64 y x) z) x) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(- x (/ x z)) |
(-.f64 x (/.f64 x z)) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- y x) |
(-.f64 y x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(/ (- 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: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 32 |
| 0 | 12 | 32 |
| 1 | 57 | 32 |
| 2 | 451 | 32 |
| 3 | 5732 | 28 |
| 0 | 9019 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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) |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) x) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- y x) x))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 (/.f64 z #s(approx (- y x) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z #s(approx (- y x) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (- y x) x))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (- y x) x)) z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 #s(approx (- y x) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (- y x) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y x) x) z)) |
(*.f64 (neg.f64 #s(approx (- y x) x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(approx (- y x) x) z) #s(literal 1 binary64)) |
(*.f64 #s(approx (- y x) x) (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 z #s(approx (- y x) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 z #s(approx (- y x) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(approx (- y x) x) z) #s(literal 1 binary64)) |
(/.f64 (/.f64 (neg.f64 #s(approx (- y x) x)) #s(literal -1 binary64)) z) |
(/.f64 (*.f64 (neg.f64 #s(approx (- y x) x)) #s(literal 1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- y x) x))) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) #s(approx (- y x) x))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 #s(approx (- y x) x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (- y x) x))) |
(/.f64 (neg.f64 #s(approx (- y x) x)) (neg.f64 z)) |
(/.f64 #s(approx (- y x) x) z) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z #s(approx (- y x) x)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (- y x) x)) z))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- y x) x)) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 #s(approx (- y x) x)) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 #s(approx (- y x) x)) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (- y x) x))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- y x) x))) |
(*.f64 #s(literal 1 binary64) #s(approx (- y x) x)) |
(*.f64 #s(approx (- y x) x) #s(literal 1 binary64)) |
#s(approx (- y x) x) |
(neg.f64 (neg.f64 #s(approx (- y x) x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- y x) x))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal -1 binary64))) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 x #s(literal 1 binary64)) |
(pow.f64 (/.f64 x (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 x x) x) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(neg.f64 x) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) x) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) x) |
(+.f64 x #s(literal 0 binary64)) |
x |
Compiled 1 258 to 236 computations (81.2% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 68 | 1 | 69 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 68 | 6 | 74 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 x (/.f64 (-.f64 y x) z)) |
| ✓ | 65.6% | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
| ✓ | 27.4% | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
| ▶ | 4.5% | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) x) z)) |
| ✓ | 42.3% | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| ✓ | 60.1% | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
Compiled 75 to 51 computations (32% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- y x) x) | |
| cost-diff | 0 | (/.f64 #s(approx (- y x) x) z) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) x) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 0 | 10 | 29 |
| 1 | 16 | 29 |
| 2 | 27 | 29 |
| 3 | 46 | 29 |
| 4 | 89 | 29 |
| 5 | 159 | 29 |
| 6 | 352 | 29 |
| 7 | 641 | 29 |
| 8 | 910 | 29 |
| 9 | 999 | 29 |
| 10 | 1061 | 29 |
| 11 | 1125 | 29 |
| 12 | 1144 | 29 |
| 13 | 1156 | 29 |
| 14 | 1180 | 29 |
| 15 | 1189 | 29 |
| 0 | 1189 | 29 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) x) z)) |
(/.f64 #s(approx (- y x) x) z) |
#s(approx (- y x) x) |
x |
z |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) x) z)) |
(/.f64 #s(approx (- y x) x) z) |
#s(approx (- y x) x) |
x |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (/.f64 #s(approx (- y x) x) z) | |
| accuracy | 22.021112561468883 | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) x) z)) | |
| accuracy | 62.679480581286576 | #s(approx (- y x) x) |
| 11.0ms | 256× | 0 | valid |
Compiled 48 to 17 computations (64.6% saved)
ival-div: 2.0ms (43.4% of total)ival-sub: 1.0ms (21.7% of total)ival-add: 1.0ms (21.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) x) z)) |
(/.f64 #s(approx (- y x) x) z) |
#s(approx (- y x) 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 | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 0.0ms | x | @ | inf | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 0.0ms | y | @ | inf | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 0.0ms | x | @ | 0 | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 0.0ms | z | @ | 0 | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 155 |
| 1 | 198 | 125 |
| 2 | 553 | 125 |
| 3 | 1583 | 125 |
| 4 | 3520 | 125 |
| 5 | 5006 | 125 |
| 6 | 6456 | 125 |
| 7 | 6744 | 125 |
| 8 | 6842 | 125 |
| 9 | 6842 | 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 (/.f64 (-.f64 y x) z) x) |
(+ (* -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 (/.f64 (-.f64 y x) z) x) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(- x (/ x z)) |
(-.f64 x (/.f64 x z)) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- y x) |
(-.f64 y x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(/ (- 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 | 9 | 27 |
| 0 | 10 | 27 |
| 1 | 52 | 27 |
| 2 | 436 | 27 |
| 3 | 5547 | 27 |
| 0 | 8391 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) x) z)) |
(/.f64 #s(approx (- y x) x) z) |
#s(approx (- y x) x) |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) x) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- y x) x))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 (/.f64 z #s(approx (- y x) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z #s(approx (- y x) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (- y x) x))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (- y x) x)) z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 #s(approx (- y x) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (- y x) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y x) x) z)) |
(*.f64 (neg.f64 #s(approx (- y x) x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(approx (- y x) x) z) #s(literal 1 binary64)) |
(*.f64 #s(approx (- y x) x) (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (*.f64 (/.f64 z #s(approx (- y x) x)) (/.f64 z #s(approx (- y x) x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 z #s(approx (- y x) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 z #s(approx (- y x) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(approx (- y x) x) z) #s(literal 1 binary64)) |
(/.f64 (/.f64 (neg.f64 #s(approx (- y x) x)) #s(literal -1 binary64)) z) |
(/.f64 (*.f64 (neg.f64 #s(approx (- y x) x)) #s(literal 1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- y x) x))) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) #s(approx (- y x) x))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 #s(approx (- y x) x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (- y x) x))) |
(/.f64 (neg.f64 #s(approx (- y x) x)) (neg.f64 z)) |
(/.f64 #s(approx (- y x) x) z) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z #s(approx (- y x) x)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (- y x) x)) z))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- y x) x)) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 #s(approx (- y x) x)) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 #s(approx (- y x) x)) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (- y x) x))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- y x) x))) |
(*.f64 #s(literal 1 binary64) #s(approx (- y x) x)) |
(*.f64 #s(approx (- y x) x) #s(literal 1 binary64)) |
#s(approx (- y x) x) |
(neg.f64 (neg.f64 #s(approx (- y x) x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- y x) x))) |
Compiled 775 to 127 computations (83.6% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 44 | 0 | 44 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 44 | 6 | 50 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 x (/.f64 (-.f64 y x) z)) |
| ✓ | 65.6% | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
| ✓ | 27.4% | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
| ✓ | 4.5% | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) x) z)) |
| ✓ | 42.3% | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| ✓ | 60.1% | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
Compiled 150 to 73 computations (51.3% saved)
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) x) z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(+.f64 x (/.f64 (-.f64 y x) z)) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
4 calls:
| 34.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (+.f64 x (/.f64 (-.f64 y x) z)) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) x) z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
4 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.2% | 3 | x |
| 81.9% | 3 | y |
| 87.3% | 3 | z |
| 75.6% | 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) x) 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:
| 32.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.5% | 3 | x |
| 79.2% | 3 | y |
| 66.2% | 3 | z |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) x) 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:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.3% | 1 | z |
| 44.2% | 2 | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 54.3% | 3 | x |
| 57.0% | 3 | y |
Compiled 10 to 15 computations (-50% saved)
Total -24.5b remaining (-66.3%)
Threshold costs -24.5b (-66.3%)
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) x) z)) |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
3 calls:
| 2.0ms | x |
| 1.0ms | y |
| 1.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.3% | 1 | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 42.3% | 1 | x |
| 42.3% | 1 | y |
Compiled 9 to 12 computations (-33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 7.527282094939427e+70 | 3.418959798750704e+83 |
| 19.0ms | -5.965185027489781e+53 | -7.446020258277459e+48 |
| 12.0ms | 304× | 0 | valid |
Compiled 504 to 392 computations (22.2% saved)
ival-sub: 2.0ms (36.4% of total)ival-div: 2.0ms (36.4% of total)ival-add: 1.0ms (18.2% 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 |
|---|---|---|
| 23.0ms | 4.6215342859464756e+20 | 3.3853251461281484e+36 |
| 10.0ms | -3.5220957074881695e+84 | -5.496229367944576e+81 |
| 23.0ms | 288× | 0 | valid |
Compiled 442 to 354 computations (19.9% saved)
ival-sub: 2.0ms (38.3% of total)ival-div: 2.0ms (38.3% of total)ival-add: 1.0ms (19.1% 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 |
|---|---|---|
| 9.0ms | 1.9223820432260948e-24 | 5.575899384814945e-21 |
| 10.0ms | -4.715864418498621e-24 | -4.209303220449189e-28 |
| 10.0ms | 256× | 0 | valid |
Compiled 442 to 332 computations (24.9% saved)
ival-div: 2.0ms (43.9% of total)ival-sub: 1.0ms (21.9% of total)ival-add: 1.0ms (21.9% 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 -47999999999999999508452036896243658757186122678272 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 839999999999999954362796630834109851167015624179179050522652930443432689664 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 -235999999999999987320011988816327182180188317063511598885284923323793369270870605824 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 2900000000000000019718081571878600704 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 -5226737155905615/10889035741470030830827987437816582766592 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 8166776806102523/170141183460469231731687303715884105728 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 -47999999999999999508452036896243658757186122678272 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 839999999999999954362796630834109851167015624179179050522652930443432689664 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 -235999999999999987320011988816327182180188317063511598885284923323793369270870605824 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 2900000000000000019718081571878600704 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 -5226737155905615/10889035741470030830827987437816582766592 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 8166776806102523/170141183460469231731687303715884105728 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 | 73 | 174 |
| 1 | 202 | 136 |
| 2 | 563 | 136 |
| 3 | 1609 | 136 |
| 4 | 3900 | 136 |
| 5 | 6076 | 136 |
| 6 | 7788 | 136 |
| 0 | 8178 | 136 |
| 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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