
Time bar (total: 2.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 5 |
| 65.6% | 65.6% | 34.3% | 0.1% | 0% | 0% | 0% | 6 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 7 |
| 82% | 82% | 18% | 0.1% | 0% | 0% | 0% | 8 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 9 |
| 90.8% | 90.7% | 9.2% | 0.1% | 0% | 0% | 0% | 10 |
| 93.8% | 93.8% | 6.1% | 0.1% | 0% | 0% | 0% | 11 |
| 95.4% | 95.3% | 4.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 7 to 6 computations (14.3% saved)
| 414.0ms | 8 256× | 0 | valid |
ival-add: 70.0ms (48.9% of total)ival-div: 61.0ms (42.6% of total)ival-true: 6.0ms (4.2% of total)adjust: 3.0ms (2.1% of total)ival-assert: 3.0ms (2.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 x (+.f64 x y)) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 88.0ms | 512× | 0 | valid |
Compiled 29 to 16 computations (44.8% saved)
ival-div: 4.0ms (53.5% of total)ival-add: 3.0ms (40.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 35 |
| 1 | 24 | 29 |
| 2 | 31 | 29 |
| 3 | 35 | 29 |
| 4 | 41 | 29 |
| 5 | 47 | 29 |
| 6 | 47 | 29 |
| 0 | 4 | 5 |
| 0 | 6 | 5 |
| 1 | 7 | 5 |
| 0 | 7 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 x y)) |
| Outputs |
|---|
(/.f64 x (+.f64 x y)) |
(/.f64 x (+.f64 y x)) |
Compiled 5 to 4 computations (20% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 x (+.f64 x y)) |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 x (+.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 0 | 6 | 10 |
| 1 | 7 | 10 |
| 0 | 7 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (+.f64 x y)) |
x |
(+.f64 x y) |
y |
| Outputs |
|---|
(/.f64 x (+.f64 x y)) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 x y) |
(+.f64 y x) |
y |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.01171875 | (/.f64 x (+.f64 x y)) |
| 9.0ms | 256× | 0 | valid |
Compiled 12 to 6 computations (50% saved)
ival-div: 2.0ms (54.9% of total)ival-add: 1.0ms (27.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 x (+.f64 x y)) |
(+.f64 x y) |
| Outputs |
|---|
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ x y) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (+ 1 (/ x y))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ x (+ x y)) (+ x y)) |
| 1.0ms | y | @ | inf | ((/ x (+ x y)) (+ x y)) |
| 0.0ms | x | @ | -inf | ((/ x (+ x y)) (+ x y)) |
| 0.0ms | x | @ | 0 | ((/ x (+ x y)) (+ x y)) |
| 0.0ms | y | @ | -inf | ((/ x (+ x y)) (+ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 321 |
| 1 | 374 | 299 |
| 2 | 1035 | 281 |
| 3 | 3960 | 278 |
| 0 | 8121 | 264 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ x y) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (+ 1 (/ x y))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 x y)) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) y)) x (/.f64 #s(literal 1 binary64) y)) x) |
y |
(+ x y) |
(+.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 y x) y) (+.f64 #s(literal -1 binary64) (/.f64 y x)) y) x)) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 y x) y) (+.f64 #s(literal -1 binary64) (/.f64 y x)) y) x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (-.f64 (/.f64 (/.f64 y x) x) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) x) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64)) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (*.f64 x (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (*.f64 x (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 0 | 6 | 8 |
| 1 | 23 | 8 |
| 2 | 144 | 8 |
| 3 | 1401 | 8 |
| 0 | 9208 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (+.f64 x y)) |
(+.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 y x)) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(*.f64 (-.f64 y x) (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))) (-.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y)) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y))) (*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))) (-.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y)) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) (*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y)) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y)))) (-.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y)) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y)) (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) (*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y)) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))))) |
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(+.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (fma.f64 (-.f64 y x) y (*.f64 x x))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) (/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (fma.f64 (-.f64 y x) y (*.f64 x x))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(+.f64 (/.f64 (*.f64 y (fma.f64 (-.f64 y x) y (*.f64 x x))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) (/.f64 (*.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(+.f64 (/.f64 (*.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) (/.f64 (*.f64 y (fma.f64 (-.f64 y x) y (*.f64 x x))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (fma.f64 (-.f64 y x) y (*.f64 x x))) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (fma.f64 (-.f64 y x) y (*.f64 x x))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 y (fma.f64 (-.f64 y x) y (*.f64 x x))) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 y (fma.f64 (-.f64 y x) y (*.f64 x x))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y)))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) (/.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (fma.f64 (-.f64 y x) y (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) (/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (fma.f64 (-.f64 y x) y (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (/.f64 (*.f64 y (fma.f64 (-.f64 y x) y (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) (/.f64 (*.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (/.f64 (*.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) (/.f64 (*.f64 y (fma.f64 (-.f64 y x) y (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 y x))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(+.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 y x))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (-.f64 y x))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x)))) |
(+.f64 (neg.f64 (neg.f64 y)) x) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))) |
(+.f64 (neg.f64 y) (neg.f64 x)) |
(+.f64 (neg.f64 y) x) |
(+.f64 (neg.f64 x) (neg.f64 y)) |
(+.f64 (neg.f64 x) y) |
(+.f64 y (neg.f64 x)) |
(+.f64 y x) |
(+.f64 x (neg.f64 (neg.f64 y))) |
(+.f64 x y) |
Compiled 9 620 to 985 computations (89.8% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 293 | 5 | 298 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 293 | 6 | 299 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.6% | (/.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)) |
| ✓ | 100.0% | (/.f64 x (+.f64 x y)) |
| ▶ | 88.9% | (/.f64 x #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)))) |
| ▶ | 51.2% | #s(approx (/ x (+ x y)) (/.f64 x y)) |
| ▶ | 48.5% | #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
| ▶ | 49.0% | #s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
Compiled 105 to 76 computations (27.6% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 0 | (/.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)) | |
| cost-diff | 3 | (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 y x)) | |
| cost-diff | 0 | #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ x (+ x y)) (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ x (+ x y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 x #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 116 |
| 0 | 34 | 110 |
| 1 | 46 | 110 |
| 2 | 84 | 110 |
| 3 | 150 | 110 |
| 4 | 182 | 110 |
| 5 | 203 | 110 |
| 6 | 211 | 110 |
| 7 | 221 | 110 |
| 8 | 225 | 110 |
| 9 | 229 | 110 |
| 0 | 229 | 110 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)))) |
x |
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)) |
(-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
y |
#s(literal 1 binary64) |
(neg.f64 y) |
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ x (+ x y)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
x |
(/.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)) |
x |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) |
(sqrt.f64 y) |
y |
| Outputs |
|---|
(/.f64 x #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)))) |
(/.f64 x #s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))) |
x |
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) |
#s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
y |
#s(literal 1 binary64) |
(neg.f64 y) |
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ x (+ x y)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
x |
(/.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)) |
(/.f64 x (+.f64 y x)) |
x |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) |
(+.f64 y x) |
(sqrt.f64 y) |
y |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.0078125 | (/.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)) | |
| accuracy | 0.15625 | (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (/.f64 y x)) | |
| accuracy | 17.666411032128746 | #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 14.544559193349023 | #s(approx (/ x (+ x y)) (/.f64 x y)) | |
| accuracy | 17.512262674924944 | #s(approx (/ x (+ x y)) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0 | #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) | |
| accuracy | 0.0078125 | (/.f64 x #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)))) | |
| accuracy | 2.606339703991555 | (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)) |
| 23.0ms | 129× | 0 | valid |
| 19.0ms | 126× | 0 | invalid |
| 1.0ms | 1× | 5 | exit |
Compiled 88 to 19 computations (78.4% saved)
ival-div: 13.0ms (49.7% of total)ival-add: 3.0ms (11.5% of total)ival-mult: 3.0ms (11.5% of total)ival-sub: 2.0ms (7.7% of total)ival-sqrt: 2.0ms (7.7% of total)ival-neg: 2.0ms (7.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 x #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)))) |
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)) |
(-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
#s(approx (/ x (+ x y)) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 y x) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) |
(/.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)) |
(sqrt.f64 y) |
(neg.f64 x) |
| Outputs |
|---|
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ x y) |
-1 |
(- (* -1 (/ x y)) 1) |
(* -1 (/ y x)) |
(/ (- x y) x) |
(/ y x) |
(* -1 x) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ (+ (* -1 x) (* -1 y)) y) |
(sqrt y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (+ 1 (/ x y))) |
(* y (- (/ 1 y) (/ 1 x))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (/ 1 x) (/ 1 y)))) |
(* -1 (* y (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1) 2)))) |
(* -1 (/ x (* y (pow (sqrt -1) 2)))) |
(* -1 (/ (+ (/ x (pow (sqrt -1) 2)) (/ (pow x 2) (* y (pow (sqrt -1) 4)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 3) (* y (pow (sqrt -1) 6)))) (/ (pow x 2) (pow (sqrt -1) 4))) y)) (/ x (pow (sqrt -1) 2))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) (* y (pow (sqrt -1) 8))) (* -1 (/ (pow x 3) (pow (sqrt -1) 6)))) y)) (/ (pow x 2) (pow (sqrt -1) 4))) y)) (/ x (pow (sqrt -1) 2))) y)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | ((/ x (+ x y)) (+ x y) (* (- (/ (neg x) y) 1) (neg y)) (- (/ (neg x) y) 1) (/ x (+ x y)) (/ x (+ x y)) (/ x y) (/ x (+ x y)) (- 1 (/ y x)) (/ y x) (+ (* (sqrt y) (sqrt y)) x) (/ x (+ (* (sqrt y) (sqrt y)) x)) (sqrt y) (neg x)) |
| 2.0ms | y | @ | inf | ((/ x (+ x y)) (+ x y) (* (- (/ (neg x) y) 1) (neg y)) (- (/ (neg x) y) 1) (/ x (+ x y)) (/ x (+ x y)) (/ x y) (/ x (+ x y)) (- 1 (/ y x)) (/ y x) (+ (* (sqrt y) (sqrt y)) x) (/ x (+ (* (sqrt y) (sqrt y)) x)) (sqrt y) (neg x)) |
| 2.0ms | x | @ | inf | ((/ x (+ x y)) (+ x y) (* (- (/ (neg x) y) 1) (neg y)) (- (/ (neg x) y) 1) (/ x (+ x y)) (/ x (+ x y)) (/ x y) (/ x (+ x y)) (- 1 (/ y x)) (/ y x) (+ (* (sqrt y) (sqrt y)) x) (/ x (+ (* (sqrt y) (sqrt y)) x)) (sqrt y) (neg x)) |
| 1.0ms | x | @ | -inf | ((/ x (+ x y)) (+ x y) (* (- (/ (neg x) y) 1) (neg y)) (- (/ (neg x) y) 1) (/ x (+ x y)) (/ x (+ x y)) (/ x y) (/ x (+ x y)) (- 1 (/ y x)) (/ y x) (+ (* (sqrt y) (sqrt y)) x) (/ x (+ (* (sqrt y) (sqrt y)) x)) (sqrt y) (neg x)) |
| 1.0ms | x | @ | 0 | ((/ x (+ x y)) (+ x y) (* (- (/ (neg x) y) 1) (neg y)) (- (/ (neg x) y) 1) (/ x (+ x y)) (/ x (+ x y)) (/ x y) (/ x (+ x y)) (- 1 (/ y x)) (/ y x) (+ (* (sqrt y) (sqrt y)) x) (/ x (+ (* (sqrt y) (sqrt y)) x)) (sqrt y) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 471 |
| 1 | 536 | 440 |
| 2 | 1593 | 406 |
| 3 | 6470 | 406 |
| 0 | 8070 | 398 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ x y) |
-1 |
(- (* -1 (/ x y)) 1) |
(* -1 (/ y x)) |
(/ (- x y) x) |
(/ y x) |
(* -1 x) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ (+ (* -1 x) (* -1 y)) y) |
(sqrt y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (+ 1 (/ x y))) |
(* y (- (/ 1 y) (/ 1 x))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (/ 1 x) (/ 1 y)))) |
(* -1 (* y (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1) 2)))) |
(* -1 (/ x (* y (pow (sqrt -1) 2)))) |
(* -1 (/ (+ (/ x (pow (sqrt -1) 2)) (/ (pow x 2) (* y (pow (sqrt -1) 4)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 3) (* y (pow (sqrt -1) 6)))) (/ (pow x 2) (pow (sqrt -1) 4))) y)) (/ x (pow (sqrt -1) 2))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) (* y (pow (sqrt -1) 8))) (* -1 (/ (pow x 3) (pow (sqrt -1) 6)))) y)) (/ (pow x 2) (pow (sqrt -1) 4))) y)) (/ x (pow (sqrt -1) 2))) y)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 x y)) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(fma.f64 (*.f64 x x) (fma.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) (/.f64 x y)) |
y |
(+ x y) |
(+.f64 y x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ x y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(/ (- x y) x) |
(/.f64 (-.f64 x y) x) |
(/ y x) |
(/.f64 y x) |
(* -1 x) |
(neg.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(/.f64 (-.f64 x y) x) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(/.f64 (fma.f64 (/.f64 y x) y (-.f64 x y)) x) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) y (-.f64 x y)) x)) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(/.f64 (fma.f64 (/.f64 y x) y (-.f64 x y)) x) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) y (-.f64 x y)) x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (-.f64 (/.f64 (/.f64 y x) x) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 x y) x) (*.f64 x x)) y) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64)) |
(/ (+ (* -1 x) (* -1 y)) y) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(sqrt y) |
(sqrt.f64 y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y) (*.f64 x x)) y)) y) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (- (/ 1 y) (/ 1 x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y) (*.f64 x x)) y)) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (/ 1 x) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
(* -1 (* y (pow (sqrt -1) 2))) |
y |
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1) 2)))) |
(+.f64 y x) |
(* -1 (/ x (* y (pow (sqrt -1) 2)))) |
(/.f64 x y) |
(* -1 (/ (+ (/ x (pow (sqrt -1) 2)) (/ (pow x 2) (* y (pow (sqrt -1) 4)))) y)) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (neg.f64 x) y) x) y) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 3) (* y (pow (sqrt -1) 6)))) (/ (pow x 2) (pow (sqrt -1) 4))) y)) (/ x (pow (sqrt -1) 2))) y)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x)) y) x) y) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) (* y (pow (sqrt -1) 8))) (* -1 (/ (pow x 3) (pow (sqrt -1) 6)))) y)) (/ (pow x 2) (pow (sqrt -1) 4))) y)) (/ x (pow (sqrt -1) 2))) y)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (neg.f64 y)) (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x)) y) x) y) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 99 |
| 0 | 34 | 93 |
| 1 | 105 | 93 |
| 2 | 660 | 86 |
| 3 | 7964 | 86 |
| 0 | 8157 | 86 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)))) |
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)) |
(-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
#s(approx (/ x (+ x y)) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 y x) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) |
(/.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)) |
(sqrt.f64 y) |
(neg.f64 x) |
| Outputs |
|---|
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))) |
(/.f64 x #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) |
(neg.f64 (/.f64 (neg.f64 x) #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))) |
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
(neg.f64 (neg.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) y) (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) y) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
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(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
#s(approx (/ x (+ x y)) (/.f64 x y)) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
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(fma.f64 (/.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x))) (-.f64 x y) (*.f64 y (/.f64 y (-.f64 x y)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (-.f64 x y)) #s(literal 2 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 y (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 y (-.f64 x y)) (-.f64 (*.f64 y (-.f64 x y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (-.f64 x y)) #s(literal 2 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 y (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 y (-.f64 x y)) (-.f64 (*.f64 y (-.f64 x y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) 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)) (*.f64 x (/.f64 x (-.f64 x y)))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 x y) (*.f64 x (/.f64 x (-.f64 x y)))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 y) x) |
(fma.f64 (*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) x) |
(fma.f64 (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64)) x) |
(fma.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))) |
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 y)) x) |
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))) x) |
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) x) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 y) (-.f64 x y)) (*.f64 x (/.f64 x (-.f64 x y)))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 y) (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 x y)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(fma.f64 (sqrt.f64 y) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (-.f64 x y)) (*.f64 x (/.f64 x (-.f64 x y)))) |
(fma.f64 (sqrt.f64 y) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 x y)))) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) |
(fma.f64 #s(literal 1 binary64) y x) |
(fma.f64 #s(literal 1 binary64) x y) |
(fma.f64 (neg.f64 x) (/.f64 x (-.f64 y x)) (*.f64 y (/.f64 y (-.f64 x y)))) |
(fma.f64 y (/.f64 y (-.f64 x y)) (*.f64 x (/.f64 x (-.f64 x y)))) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 x y)))) |
(fma.f64 y #s(literal 1 binary64) x) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))) |
(fma.f64 x #s(literal 1 binary64) y) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(-.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 y x)))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))) |
(-.f64 x y) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(+.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))) |
(+.f64 y x) |
(+.f64 x y) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 (neg.f64 x) x))) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 (neg.f64 x) x))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x)) |
(*.f64 (/.f64 x (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y))) |
(*.f64 (-.f64 y x) (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(*.f64 (-.f64 x y) (/.f64 x (fma.f64 y y (*.f64 x x)))) |
(/.f64 (*.f64 x (-.f64 y x)) (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(/.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.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))) |
(/.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 x y)) |
(/.f64 (*.f64 (/.f64 x (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y))) |
(/.f64 (*.f64 (/.f64 x (fma.f64 y y (*.f64 x x))) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (-.f64 x y) x))) |
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x y) x) (fma.f64 (-.f64 x y) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (-.f64 x y)) #s(literal 2 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y))) |
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 y (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 y (-.f64 x y)) (-.f64 (*.f64 y (-.f64 x y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(/.f64 (*.f64 x (fma.f64 (-.f64 x y) x (*.f64 y y))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(/.f64 (*.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 x y))) |
(/.f64 (*.f64 x (fma.f64 y y (*.f64 x x))) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (*.f64 y y) (*.f64 (-.f64 x y) x)))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 x y) x) (fma.f64 (-.f64 x y) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (-.f64 x y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 y (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 y (-.f64 x y)) (-.f64 (*.f64 y (-.f64 x y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 x y) x) (fma.f64 y y (*.f64 x x))) |
(/.f64 (neg.f64 x) (-.f64 y x)) |
(/.f64 x (-.f64 x y)) |
(neg.f64 (/.f64 x (-.f64 y x))) |
(fma.f64 (/.f64 x (fma.f64 y y (*.f64 x x))) x (*.f64 (/.f64 x (fma.f64 y y (*.f64 x x))) y)) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 x y) x) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (-.f64 x y)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (-.f64 x y)))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 x y) x))) |
(fma.f64 (*.f64 (-.f64 x y) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 y (-.f64 x y)) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 y (-.f64 x y)) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 x y) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(fma.f64 x (/.f64 x (fma.f64 y y (*.f64 x x))) (*.f64 y (/.f64 x (fma.f64 y y (*.f64 x x))))) |
(+.f64 (*.f64 x (/.f64 x (fma.f64 y y (*.f64 x x)))) (*.f64 y (/.f64 x (fma.f64 y y (*.f64 x x))))) |
(+.f64 (*.f64 (*.f64 (-.f64 x y) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 x y) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 y (-.f64 x y)) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 y (-.f64 x y)) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 y y (*.f64 x x))) x) (*.f64 (/.f64 x (fma.f64 y y (*.f64 x x))) y)) |
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 x y) x)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 x y) x))) |
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (-.f64 x y))) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (-.f64 x y)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 1/2 binary64)) |
(neg.f64 (sqrt.f64 y)) |
(sqrt.f64 y) |
(fabs.f64 (sqrt.f64 y)) |
(exp.f64 (/.f64 (log.f64 y) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1/4 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 y))) |
(+.f64 (cosh.f64 (/.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (/.f64 (log.f64 y) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1/4 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y)))) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(neg.f64 x) |
Compiled 8 452 to 1 248 computations (85.2% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 357 | 1 | 358 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 358 | 6 | 364 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.6% | (/.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)) |
| ✓ | 100.0% | (/.f64 x (+.f64 x y)) |
| ▶ | 88.9% | (/.f64 x #s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)))) |
| ✓ | 51.2% | #s(approx (/ x (+ x y)) (/.f64 x y)) |
| ✓ | 48.5% | #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
| ✓ | 49.0% | #s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
Compiled 61 to 44 computations (27.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 x #s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 80 |
| 0 | 20 | 80 |
| 1 | 27 | 80 |
| 2 | 32 | 80 |
| 3 | 33 | 80 |
| 0 | 33 | 80 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x #s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)))) |
x |
#s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y))) |
(*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)) |
#s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
#s(literal -1 binary64) |
(/.f64 x y) |
y |
(neg.f64 y) |
| Outputs |
|---|
(/.f64 x #s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)))) |
(/.f64 x #s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y)))))) |
x |
#s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y))) |
#s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)) |
(*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
#s(literal -1 binary64) |
(/.f64 x y) |
y |
(neg.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y))) | |
| accuracy | 0.00390625 | (-.f64 #s(literal -1 binary64) (/.f64 x y)) | |
| accuracy | 0.0078125 | (/.f64 x #s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)))) | |
| accuracy | 6.878301269871433 | (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)) |
| 24.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 5 | exit |
Compiled 38 to 15 computations (60.5% saved)
ival-div: 6.0ms (42.3% of total)ival-mult: 2.0ms (14.1% of total)ival-sub: 2.0ms (14.1% of total)ival-add: 2.0ms (14.1% of total)ival-neg: 2.0ms (14.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 x #s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)))) |
#s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y))) |
(*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)) |
#s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
| Outputs |
|---|
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ x y) |
-1 |
(- (* -1 (/ x y)) 1) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ (+ (* -1 x) (* -1 y)) y) |
(/ (- (* -1 y) x) y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (+ 1 (/ x y))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | ((/ x (+ x y)) (+ x y) (* (- (/ (neg x) y) 1) (neg y)) (- (/ (neg x) y) 1) (- -1 (/ x y))) |
| 0.0ms | y | @ | inf | ((/ x (+ x y)) (+ x y) (* (- (/ (neg x) y) 1) (neg y)) (- (/ (neg x) y) 1) (- -1 (/ x y))) |
| 0.0ms | x | @ | 0 | ((/ x (+ x y)) (+ x y) (* (- (/ (neg x) y) 1) (neg y)) (- (/ (neg x) y) 1) (- -1 (/ x y))) |
| 0.0ms | y | @ | 0 | ((/ x (+ x y)) (+ x y) (* (- (/ (neg x) y) 1) (neg y)) (- (/ (neg x) y) 1) (- -1 (/ x y))) |
| 0.0ms | x | @ | inf | ((/ x (+ x y)) (+ x y) (* (- (/ (neg x) y) 1) (neg y)) (- (/ (neg x) y) 1) (- -1 (/ x y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 336 |
| 1 | 396 | 314 |
| 2 | 1125 | 292 |
| 3 | 4156 | 289 |
| 0 | 8177 | 279 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ x y) |
-1 |
(- (* -1 (/ x y)) 1) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ (+ (* -1 x) (* -1 y)) y) |
(/ (- (* -1 y) x) y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (+ 1 (/ x y))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 x y)) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) y)) x (/.f64 #s(literal 1 binary64) y)) x) |
y |
(+ x y) |
(+.f64 y x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ x y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (-.f64 (/.f64 (/.f64 y x) x) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) x) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64)) |
(/ (+ (* -1 x) (* -1 y)) y) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(/ (- (* -1 y) x) y) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 72 |
| 0 | 20 | 72 |
| 1 | 70 | 72 |
| 2 | 422 | 72 |
| 3 | 6101 | 72 |
| 0 | 8267 | 72 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x #s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)))) |
#s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y))) |
(*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)) |
#s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
| Outputs |
|---|
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))))) |
(/.f64 x #s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y)))))) |
(neg.f64 (/.f64 (neg.f64 x) #s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))))) |
#s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(neg.f64 (neg.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))))) |
(*.f64 (neg.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) y) |
(*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)) |
(*.f64 y (neg.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(neg.f64 (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) y)) |
#s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 9 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(fma.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))) |
(+.f64 (/.f64 x y) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 x y)) |
Compiled 2 872 to 478 computations (83.4% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 81 | 0 | 81 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 81 | 6 | 87 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.6% | (/.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)) |
| ✓ | 100.0% | (/.f64 x (+.f64 x y)) |
| ✓ | 88.9% | (/.f64 x #s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)))) |
| ✓ | 51.2% | #s(approx (/ x (+ x y)) (/.f64 x y)) |
| ✓ | 48.5% | #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
| ✓ | 49.0% | #s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
Compiled 137 to 77 computations (43.8% saved)
| Inputs |
|---|
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
#s(approx (/ x (+ x y)) (/.f64 x y)) |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 x (+.f64 x y)) |
(/.f64 x #s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)))) |
(/.f64 x #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)))) |
(/.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)) |
| Outputs |
|---|
(/.f64 x (+.f64 x y)) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 x (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 x (+.f64 x y)) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 7 to 8 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
#s(approx (/ x (+ x y)) (/.f64 x y)) |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
| Outputs |
|---|
#s(approx (/ x (+ x y)) (/.f64 x y)) |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | (/.f64 x (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 2 | (/.f64 x (+.f64 x y)) |
| 78.5% | 3 | x |
| 74.6% | 3 | y |
Compiled 7 to 8 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
#s(approx (/ x (+ x y)) (/.f64 x y)) |
| Outputs |
|---|
#s(approx (/ x (+ x y)) (/.f64 x y)) |
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
1 calls:
| 1.0ms | (/.f64 x (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 2 | (/.f64 x (+.f64 x y)) |
Compiled 5 to 4 computations (20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 x (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.0% | 1 | y |
| 49.0% | 1 | x |
| 49.0% | 1 | (/.f64 x (+.f64 x y)) |
Compiled 7 to 8 computations (-14.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00020835016043091752 | 0.9980482449878134 |
Compiled 8 to 9 computations (-12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00020835016043091752 | 0.9980482449878134 |
Compiled 8 to 9 computations (-12.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 64 |
| 1 | 22 | 64 |
| 2 | 30 | 64 |
| 3 | 37 | 64 |
| 4 | 39 | 64 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 x y)) |
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64))) |
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 x (+.f64 x y)) |
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64))) |
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 321 |
| 1 | 374 | 299 |
| 2 | 1035 | 281 |
| 3 | 3960 | 278 |
| 0 | 8121 | 264 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
Compiled 64 to 17 computations (73.4% saved)
Compiled 138 to 42 computations (69.6% saved)
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