Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, B
Time bar (total: 2.8s)
| 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 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 294.0ms | 8 256× | 0 | valid |
ival-mult: 58.0ms (37.6% of total)ival-div: 46.0ms (29.8% of total)ival-add: 37.0ms (24% of total)ival-true: 6.0ms (3.9% of total)exact: 5.0ms (3.2% of total)ival-assert: 3.0ms (1.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 20 | 0 | - | 0 | - | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 y #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) | o/n | 20 | 0 |
| ↳ | (*.f64 x y) | overflow | 20 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 20 | 0 |
| - | 0 | 236 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 20 | 0 | 0 |
| - | 0 | 0 | 236 |
| number | freq |
|---|---|
| 0 | 236 |
| 1 | 20 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 22.0ms | 512× | 0 | valid |
Compiled 75 to 37 computations (50.7% saved)
ival-mult: 4.0ms (39.7% of total)ival-div: 3.0ms (29.8% of total)ival-add: 3.0ms (29.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 43 |
| 1 | 50 | 37 |
| 2 | 145 | 35 |
| 3 | 443 | 35 |
| 4 | 1190 | 35 |
| 5 | 1667 | 35 |
| 6 | 1882 | 35 |
| 7 | 1938 | 35 |
| 8 | 1966 | 35 |
| 9 | 1970 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 15 | 7 |
| 2 | 18 | 7 |
| 3 | 19 | 7 |
| 0 | 19 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(negabs x)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.7% | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
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 #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 15 | 16 |
| 2 | 18 | 16 |
| 3 | 19 | 16 |
| 0 | 19 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(*.f64 x y) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 4.697523159086452 | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 10.0ms | 256× | 0 | valid |
Compiled 34 to 14 computations (58.8% saved)
ival-mult: 2.0ms (42% of total)ival-div: 1.0ms (21% of total)ival-add: 1.0ms (21% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(*.f64 x y) |
(+.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
(/ (* x y) (+ 1 y)) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
1 |
(+ 1 y) |
x |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
y |
(* y (+ 1 (/ 1 y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (* x y) (+ y 1)) (* x y) (+ y 1)) |
| 1.0ms | y | @ | -inf | ((/ (* x y) (+ y 1)) (* x y) (+ y 1)) |
| 1.0ms | x | @ | inf | ((/ (* x y) (+ y 1)) (* x y) (+ y 1)) |
| 1.0ms | x | @ | 0 | ((/ (* x y) (+ y 1)) (* x y) (+ y 1)) |
| 1.0ms | y | @ | inf | ((/ (* x y) (+ y 1)) (* x y) (+ y 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 121 |
| 1 | 135 | 113 |
| 2 | 274 | 105 |
| 3 | 1008 | 99 |
| 4 | 4080 | 99 |
| 5 | 5963 | 99 |
| 6 | 7107 | 99 |
| 7 | 7788 | 99 |
| 0 | 8035 | 97 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) (+ 1 y)) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
1 |
(+ 1 y) |
x |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
y |
(* y (+ 1 (/ 1 y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
| Outputs |
|---|
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y)) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 35 | 13 |
| 2 | 203 | 13 |
| 3 | 1891 | 13 |
| 0 | 8396 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(*.f64 x y) |
(+.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 y (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 y x))) |
(*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (*.f64 y (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 y) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (neg.f64 y) (*.f64 x (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y)))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y x)) |
(*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (neg.f64 x) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
(*.f64 (*.f64 y x) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 y (*.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) |
(*.f64 y (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(pow.f64 (exp.f64 (-.f64 (log1p.f64 y) (log.f64 (*.f64 y x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (fma.f64 (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (*.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))))) |
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(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (/.f64 y #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y))) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
Compiled 7 069 to 1 055 computations (85.1% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 342 | 4 | 346 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 342 | 5 | 347 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 92.7% | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ▶ | 100.0% | (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
| ▶ | 88.8% | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
| ▶ | 49.3% | #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
| ▶ | 50.2% | #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
Compiled 49 to 37 computations (24.5% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 y (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 x (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (-.f64 x (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (-.f64 x (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 (-.f64 x (*.f64 y x)) y) | |
| cost-diff | 0 | #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 91 |
| 0 | 28 | 91 |
| 1 | 44 | 91 |
| 2 | 66 | 91 |
| 3 | 109 | 91 |
| 4 | 192 | 91 |
| 5 | 324 | 91 |
| 6 | 580 | 91 |
| 7 | 956 | 91 |
| 8 | 1349 | 91 |
| 9 | 1585 | 91 |
| 10 | 1660 | 91 |
| 11 | 1670 | 91 |
| 12 | 1673 | 91 |
| 13 | 1674 | 91 |
| 0 | 1674 | 91 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(-.f64 x (*.f64 y x)) |
x |
(*.f64 y x) |
y |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
(-.f64 x (/.f64 x y)) |
x |
(/.f64 x y) |
y |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
x |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
y |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
x |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(-.f64 x (*.f64 y x)) |
x |
(*.f64 y x) |
y |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
(-.f64 x (/.f64 x y)) |
x |
(/.f64 x y) |
y |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
x |
(+.f64 #s(literal 1 binary64) y) |
(-.f64 y #s(literal -1 binary64)) |
#s(literal 1 binary64) |
y |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
y |
(+.f64 #s(literal 1 binary64) y) |
(-.f64 y #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.01171875 | (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) | |
| accuracy | 0.015625 | (/.f64 y (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0078125 | (/.f64 x (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 7.162733417775058 | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.0078125 | (-.f64 x (/.f64 x y)) | |
| accuracy | 32.45865057287446 | #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.01171875 | (-.f64 x (*.f64 y x)) | |
| accuracy | 0.07421875 | (*.f64 (-.f64 x (*.f64 y x)) y) | |
| accuracy | 31.852032803782386 | #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
| 28.0ms | 256× | 0 | valid |
Compiled 170 to 37 computations (78.2% saved)
ival-mult: 7.0ms (39.6% of total)ival-div: 6.0ms (33.9% of total)ival-sub: 2.0ms (11.3% of total)ival-add: 2.0ms (11.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(-.f64 x (*.f64 y x)) |
(*.f64 y x) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
(-.f64 x (/.f64 x y)) |
(/.f64 x y) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(/ (* x y) (+ 1 y)) |
(* x (* y (- 1 y))) |
(* x (- 1 y)) |
(* x y) |
(* x (- 1 (/ 1 y))) |
(/ x y) |
(/ x (+ 1 y)) |
(* x (* y (+ 1 (* -1 y)))) |
(* x (+ 1 (* -1 y))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
x |
(+ x (* -1 (* x y))) |
(* -1 (/ x y)) |
(/ (- (* x y) x) y) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
1 |
(+ 1 y) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 (* x y)) |
(* y (- (/ x y) x)) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(* y (+ 1 (/ 1 y))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* y x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (+ 1 y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y))) |
| 2.0ms | y | @ | inf | ((/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* y x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (+ 1 y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y))) |
| 2.0ms | x | @ | inf | ((/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* y x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (+ 1 y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y))) |
| 1.0ms | x | @ | 0 | ((/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* y x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (+ 1 y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y))) |
| 1.0ms | y | @ | -inf | ((/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* y x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (+ 1 y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 406 |
| 1 | 322 | 376 |
| 2 | 699 | 352 |
| 3 | 2289 | 342 |
| 4 | 6851 | 342 |
| 0 | 8145 | 336 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) (+ 1 y)) |
(* x (* y (- 1 y))) |
(* x (- 1 y)) |
(* x y) |
(* x (- 1 (/ 1 y))) |
(/ x y) |
(/ x (+ 1 y)) |
(* x (* y (+ 1 (* -1 y)))) |
(* x (+ 1 (* -1 y))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
x |
(+ x (* -1 (* x y))) |
(* -1 (/ x y)) |
(/ (- (* x y) x) y) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
1 |
(+ 1 y) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 (* x y)) |
(* y (- (/ x y) x)) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(* y (+ 1 (/ 1 y))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
| Outputs |
|---|
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x y) |
(*.f64 y x) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (* y (+ 1 (* -1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (/ 1 y) 1))) |
(-.f64 x (/.f64 x y)) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) y) |
x |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(/ (- (* x y) x) y) |
(-.f64 x (/.f64 x y)) |
(+ x (* y (- (* x y) x))) |
(fma.f64 (-.f64 (*.f64 y x) x) y x) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* y (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) y) |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (- (/ x y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (+ x (* -1 (/ x y))) y) |
(/.f64 (-.f64 x (/.f64 x y)) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(- 1 (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) #s(literal -1 binary64)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) #s(literal -1 binary64)) y)) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(/.f64 (-.f64 x (/.f64 x y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x) y) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) #s(literal -1 binary64)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) #s(literal -1 binary64)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 78 |
| 0 | 28 | 78 |
| 1 | 115 | 78 |
| 2 | 768 | 78 |
| 0 | 8987 | 78 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(-.f64 x (*.f64 y x)) |
(*.f64 y x) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
(-.f64 x (/.f64 x y)) |
(/.f64 x y) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
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(+.f64 (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (neg.f64 y))) (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (neg.f64 y)))) |
(+.f64 (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))) |
(*.f64 (/.f64 y (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 y (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (neg.f64 y) y (+.f64 #s(literal -1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (neg.f64 y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 y) y (+.f64 #s(literal -1 binary64) y))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 y (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) y)) |
(*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 y y (neg.f64 y))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 y (pow.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 y (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) y)) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 y y (neg.f64 y)) y y)) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) |
(*.f64 (neg.f64 y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y (neg.f64 y)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y (neg.f64 y)))) |
(/.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y (neg.f64 y)) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y (neg.f64 y)) #s(literal 2 binary64))) (fma.f64 y y (neg.f64 y)))) |
(/.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (fma.f64 y y (+.f64 #s(literal -1 binary64) y))) |
(/.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y (neg.f64 y)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y y (neg.f64 y))))) |
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y (neg.f64 y)) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y (neg.f64 y)) #s(literal 2 binary64))) (fma.f64 y y (neg.f64 y))))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (+.f64 #s(literal -1 binary64) y)))) |
(/.f64 (*.f64 y (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)))))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 (fma.f64 (fma.f64 y y (neg.f64 y)) y y) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(/.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) y)) |
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (fma.f64 y y (neg.f64 y)) (fma.f64 y y #s(literal -1 binary64))) |
(/.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y)))) |
(neg.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 y))) |
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) y (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y y))) |
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (neg.f64 y)) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y y) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (neg.f64 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (fma.f64 y y (neg.f64 y)) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 y y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (neg.f64 y) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y (neg.f64 y)) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 y (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y)) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (neg.f64 y) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(+.f64 (*.f64 y (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(+.f64 (*.f64 (fma.f64 y y (neg.f64 y)) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 y y (neg.f64 y)) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 y y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) y) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (neg.f64 y))) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (neg.f64 y)))) |
(+.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
Compiled 18 422 to 2 497 computations (86.4% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 853 | 3 | 856 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 1 | 1 |
| Total | 853 | 8 | 861 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 92.7% | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | 100.0% | (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
| ✓ | 88.8% | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
| ✓ | 49.3% | #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
| ✓ | 50.2% | #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
| ▶ | 50.2% | #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
| ▶ | 14.7% | #s(approx (/ (* x y) (+ y 1)) (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y)) |
| ▶ | 3.3% | #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
Compiled 102 to 73 computations (28.4% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 0 | #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y) | |
| cost-diff | 0 | #s(approx (/ (* x y) (+ y 1)) (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 (neg.f64 x) y) | |
| cost-diff | 0 | #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) | |
| cost-diff | 0 | #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 117 |
| 0 | 31 | 117 |
| 1 | 54 | 117 |
| 2 | 95 | 117 |
| 3 | 165 | 117 |
| 4 | 294 | 117 |
| 5 | 504 | 117 |
| 6 | 805 | 117 |
| 7 | 1117 | 117 |
| 8 | 1411 | 117 |
| 9 | 1566 | 117 |
| 10 | 1743 | 117 |
| 11 | 1778 | 117 |
| 12 | 1787 | 117 |
| 13 | 1790 | 117 |
| 14 | 1793 | 117 |
| 15 | 1794 | 117 |
| 0 | 1794 | 117 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
#s(approx (/ (* x y) (+ y 1)) (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y)) |
(*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y) |
#s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 y x) |
y |
x |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
#s(approx (/ (* x y) (+ y 1)) (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y)) |
(*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y) |
#s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 y x) |
y |
x |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.078125 | (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 31.852032803782386 | #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.07421875 | (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y) | |
| accuracy | 31.75089259085695 | #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) | |
| accuracy | 31.852032803782386 | #s(approx (/ (* x y) (+ y 1)) (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y)) | |
| accuracy | 0 | (/.f64 (neg.f64 x) y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 31.1412930408374 | #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) | |
| accuracy | 32.45865057287446 | #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
| 28.0ms | 256× | 0 | valid |
Compiled 189 to 43 computations (77.2% saved)
ival-mult: 7.0ms (38.1% of total)ival-div: 5.0ms (27.2% of total)ival-sub: 3.0ms (16.3% of total)ival-neg: 2.0ms (10.9% of total)ival-add: 1.0ms (5.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y)) |
(*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y) |
#s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 y x) |
(-.f64 #s(literal 1 binary64) y) |
(neg.f64 y) |
| Outputs |
|---|
(/ (* x y) (+ 1 y)) |
(* x (- 1 (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 x) |
(* x (* y (- 1 y))) |
(* x (- 1 y)) |
(* -1 (* x y)) |
(* x y) |
(* -1 (* x (- (/ 1 y) 1))) |
(* x (* y (+ 1 (* -1 y)))) |
(* x (+ 1 (* -1 y))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(/ (- (* x y) x) y) |
x |
(+ x (* -1 (* x y))) |
1 |
(+ 1 (* -1 y)) |
(* -1 y) |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* y (- (/ x y) x)) |
(* y (- (/ 1 y) 1)) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* (neg y) x) (/ (* x y) (+ y 1)) (* (* y x) (- 1 y)) (* y x) (- 1 y) (neg y)) |
| 2.0ms | x | @ | inf | ((/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* (neg y) x) (/ (* x y) (+ y 1)) (* (* y x) (- 1 y)) (* y x) (- 1 y) (neg y)) |
| 2.0ms | x | @ | 0 | ((/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* (neg y) x) (/ (* x y) (+ y 1)) (* (* y x) (- 1 y)) (* y x) (- 1 y) (neg y)) |
| 1.0ms | y | @ | inf | ((/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* (neg y) x) (/ (* x y) (+ y 1)) (* (* y x) (- 1 y)) (* y x) (- 1 y) (neg y)) |
| 1.0ms | y | @ | -inf | ((/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* (neg y) x) (/ (* x y) (+ y 1)) (* (* y x) (- 1 y)) (* y x) (- 1 y) (neg y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 208 |
| 1 | 213 | 194 |
| 2 | 467 | 186 |
| 3 | 1527 | 180 |
| 4 | 4831 | 180 |
| 5 | 7950 | 180 |
| 0 | 8002 | 178 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) (+ 1 y)) |
(* x (- 1 (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 x) |
(* x (* y (- 1 y))) |
(* x (- 1 y)) |
(* -1 (* x y)) |
(* x y) |
(* -1 (* x (- (/ 1 y) 1))) |
(* x (* y (+ 1 (* -1 y)))) |
(* x (+ 1 (* -1 y))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(/ (- (* x y) x) y) |
x |
(+ x (* -1 (* x y))) |
1 |
(+ 1 (* -1 y)) |
(* -1 y) |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* y (- (/ x y) x)) |
(* y (- (/ 1 y) 1)) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
| Outputs |
|---|
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 x) |
(neg.f64 x) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (- (/ 1 y) 1))) |
(-.f64 x (/.f64 x y)) |
(* x (* y (+ 1 (* -1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 (fma.f64 (fma.f64 y x (neg.f64 x)) y x) y) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
(/ (- (* x y) x) y) |
(-.f64 x (/.f64 x y)) |
x |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y)) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* y (- (/ x y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 110 |
| 0 | 31 | 110 |
| 1 | 117 | 110 |
| 2 | 748 | 110 |
| 0 | 8135 | 110 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y)) |
(*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y) |
#s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 y x) |
(-.f64 #s(literal 1 binary64) y) |
(neg.f64 y) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) y) |
(*.f64 (/.f64 x (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 y y)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(*.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) x) |
(*.f64 #s(literal -1 binary64) (/.f64 x y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 #s(literal -1 binary64) y)) |
(pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 y)) (*.f64 (/.f64 (neg.f64 y) x) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) y) (*.f64 (/.f64 y x) y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) x) x) |
(/.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x y))))) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 y x)) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 y x)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 (neg.f64 y) x) (*.f64 y y)) |
(/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) y) |
(/.f64 (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) |
(/.f64 x (neg.f64 y)) |
(neg.f64 (/.f64 x y)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 (neg.f64 x) y)) |
(+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 x x) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #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) (neg.f64 x)) |
(+.f64 (neg.f64 x) #s(literal 0 binary64)) |
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(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 y y)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 y) y) y) |
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y))))) |
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 y y) (neg.f64 y)) |
(/.f64 (neg.f64 y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 y #s(literal -1 binary64)) |
(neg.f64 y) |
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) |
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 0 binary64)) |
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(+.f64 (neg.f64 y) #s(literal 0 binary64)) |
Compiled 8 619 to 1 352 computations (84.3% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 344 | 1 | 345 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 5 | 5 |
| Total | 345 | 8 | 353 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 92.7% | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | 100.0% | (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
| ✓ | 88.8% | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
| ✓ | 49.3% | #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
| ✓ | 50.2% | #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
| ✓ | 50.2% | #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
| ▶ | 50.9% | #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64)))) |
| ✓ | 3.3% | #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
Compiled 99 to 72 computations (27.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 37 |
| 0 | 13 | 37 |
| 1 | 24 | 37 |
| 2 | 38 | 37 |
| 3 | 46 | 37 |
| 4 | 53 | 37 |
| 5 | 61 | 37 |
| 6 | 71 | 37 |
| 7 | 103 | 37 |
| 8 | 122 | 37 |
| 9 | 123 | 37 |
| 0 | 123 | 37 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64)))) |
(*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) |
(*.f64 y x) |
y |
x |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) x)) |
(*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) x) |
(*.f64 y x) |
y |
x |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.078125 | (*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) | |
| accuracy | 31.58548783181311 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| accuracy | 31.852032803782386 | #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64)))) |
| 18.0ms | 256× | 0 | valid |
Compiled 62 to 23 computations (62.9% saved)
ival-mult: 5.0ms (49.3% of total)ival-div: 2.0ms (19.7% of total)ival-sub: 1.0ms (9.9% of total)ival-add: 1.0ms (9.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64)))) |
(*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) |
(*.f64 y x) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
| Outputs |
|---|
(/ (* x y) (+ 1 y)) |
(* x (* y (- 1 y))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
1 |
(+ 1 (* -1 y)) |
x |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(* -1 (* y (- 1 (/ 1 y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (* x y) (+ y 1)) (* (* y x) (- 1 y)) (* y x) (- 1 y)) |
| 1.0ms | x | @ | inf | ((/ (* x y) (+ y 1)) (* (* y x) (- 1 y)) (* y x) (- 1 y)) |
| 1.0ms | x | @ | 0 | ((/ (* x y) (+ y 1)) (* (* y x) (- 1 y)) (* y x) (- 1 y)) |
| 1.0ms | y | @ | -inf | ((/ (* x y) (+ y 1)) (* (* y x) (- 1 y)) (* y x) (- 1 y)) |
| 1.0ms | y | @ | inf | ((/ (* x y) (+ y 1)) (* (* y x) (- 1 y)) (* y x) (- 1 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 144 |
| 1 | 166 | 137 |
| 2 | 378 | 129 |
| 3 | 1059 | 123 |
| 4 | 3831 | 123 |
| 5 | 6071 | 123 |
| 6 | 7751 | 123 |
| 0 | 8291 | 121 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) (+ 1 y)) |
(* x (* y (- 1 y))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
1 |
(+ 1 (* -1 y)) |
x |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(* -1 (* y (- 1 (/ 1 y)))) |
| Outputs |
|---|
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y)) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 34 |
| 0 | 13 | 34 |
| 1 | 54 | 34 |
| 2 | 307 | 34 |
| 3 | 3118 | 34 |
| 0 | 11366 | 34 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64)))) |
(*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) |
(*.f64 y x) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) x)) |
(*.f64 (*.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 1 binary64)) y) |
(*.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) x) |
(*.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) y) |
(*.f64 (*.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) |
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (*.f64 y x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) x)) |
(*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) |
(*.f64 y (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
(*.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
(*.f64 x (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
(*.f64 (*.f64 x #s(literal 1 binary64)) y) |
(*.f64 (neg.f64 (neg.f64 x)) y) |
(*.f64 (neg.f64 (neg.f64 y)) x) |
(*.f64 (neg.f64 x) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 y) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y (*.f64 #s(literal 1 binary64) x)) |
(*.f64 y (*.f64 x #s(literal 1 binary64))) |
(*.f64 y (neg.f64 (neg.f64 x))) |
(*.f64 y x) |
(*.f64 x (neg.f64 (neg.f64 y))) |
(*.f64 x y) |
(neg.f64 (*.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y)) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
Compiled 736 to 129 computations (82.5% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 40 | 0 | 40 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 40 | 8 | 48 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 92.7% | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | 100.0% | (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
| ✓ | 88.8% | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
| ✓ | 49.3% | #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
| ✓ | 50.2% | #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
| ✓ | 50.2% | #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
| ✓ | 50.9% | #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64)))) |
| ✓ | 3.3% | #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
Compiled 218 to 114 computations (47.7% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y)) |
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
3 calls:
| 4.0ms | x |
| 4.0ms | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y)) |
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
3 calls:
| 4.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 1 | x |
| 100.0% | 3 | y |
| 88.8% | 1 | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y)) |
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
Total -31.6b remaining (-100.6%)
Threshold costs -31.6b (-100.6%)
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y)) |
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64)))) |
3 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.9% | 1 | x |
| 50.9% | 1 | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 50.9% | 1 | y |
Compiled 9 to 10 computations (-11.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1988456.4755220888 | 9490521751215184.0 |
| 8.0ms | -9.614228728836244e+50 | -1.7757907385887748e+50 |
| 12.0ms | 256× | 0 | valid |
Compiled 330 to 283 computations (14.2% saved)
ival-div: 2.0ms (35% of total)ival-mult: 2.0ms (35% of total)ival-add: 1.0ms (17.5% of total)ival-true: 0.0ms (0% of total)exact: 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 | 0.4618917044721421 | 7.4704781130439235 |
| 12.0ms | -1.8740722646502466 | -8.955046018281748e-6 |
| 12.0ms | 256× | 0 | valid |
Compiled 458 to 347 computations (24.2% saved)
ival-div: 2.0ms (34.8% of total)ival-mult: 2.0ms (34.8% of total)ival-add: 1.0ms (17.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 114 |
| 1 | 49 | 114 |
| 2 | 64 | 114 |
| 3 | 72 | 114 |
| 4 | 77 | 114 |
| 5 | 78 | 114 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(if (<=.f64 y #s(literal -179999999999999992964398279826086091808951630823424 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 320000000 binary64)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(if (<=.f64 y #s(literal -179999999999999992964398279826086091808951630823424 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 320000000 binary64)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 x y)) y)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (*.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 78 |
| 0 | 28 | 78 |
| 1 | 115 | 78 |
| 2 | 768 | 78 |
| 0 | 8987 | 78 |
| 0 | 46 | 121 |
| 1 | 135 | 113 |
| 2 | 274 | 105 |
| 3 | 1008 | 99 |
| 4 | 4080 | 99 |
| 5 | 5963 | 99 |
| 6 | 7107 | 99 |
| 7 | 7788 | 99 |
| 0 | 8035 | 97 |
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 35 | 13 |
| 2 | 203 | 13 |
| 3 | 1891 | 13 |
| 0 | 8396 | 13 |
| 0 | 71 | 208 |
| 1 | 213 | 194 |
| 2 | 467 | 186 |
| 3 | 1527 | 180 |
| 4 | 4831 | 180 |
| 5 | 7950 | 180 |
| 0 | 8002 | 178 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 208 to 94 computations (54.8% saved)
(negabs x)
Compiled 358 to 150 computations (58.1% saved)
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