Data.Colour.RGB:hslsv from colour-2.3.3, D
Time bar (total: 6.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 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 9 to 7 computations (22.2% saved)
| 1.2s | 8 256× | 0 | valid |
ival-div: 387.0ms (46.2% of total)ival-add: 352.0ms (42% of total)ival-sub: 92.0ms (11% of total)ival-true: 5.0ms (0.6% of total)ival-assert: 2.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 x y) (+.f64 x y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.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 |
| 26.0ms | 512× | 0 | valid |
Compiled 56 to 24 computations (57.1% saved)
ival-sub: 5.0ms (42% of total)ival-div: 3.0ms (25.2% of total)ival-add: 3.0ms (25.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 45 |
| 1 | 35 | 45 |
| 2 | 51 | 43 |
| 3 | 67 | 43 |
| 4 | 80 | 43 |
| 5 | 99 | 43 |
| 6 | 109 | 43 |
| 7 | 113 | 43 |
| 8 | 117 | 43 |
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 12 | 7 |
| 0 | 12 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
(/.f64 (-.f64 x y) (+.f64 y x)) |
Compiled 7 to 5 computations (28.6% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 0 | 8 | 15 |
| 1 | 12 | 15 |
| 0 | 12 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
(-.f64 x y) |
x |
y |
(+.f64 x y) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
(/.f64 (-.f64 x y) (+.f64 y x)) |
(-.f64 x y) |
x |
y |
(+.f64 x y) |
(+.f64 y x) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.041347509768442016 | (/.f64 (-.f64 x y) (+.f64 x y)) |
| 10.0ms | 256× | 0 | valid |
Compiled 32 to 12 computations (62.5% saved)
ival-div: 2.0ms (46.2% of total)ival-sub: 1.0ms (23.1% of total)ival-add: 1.0ms (23.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
(-.f64 x y) |
(+.f64 x y) |
| Outputs |
|---|
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(* -1 y) |
(- x y) |
y |
(+ x y) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (/ y x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(+ x (* -1 y)) |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(* y (- (/ x y) 1)) |
(* y (+ 1 (/ x y))) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((/ (- x y) (+ x y)) (- x y) (+ x y)) |
| 1.0ms | x | @ | inf | ((/ (- x y) (+ x y)) (- x y) (+ x y)) |
| 1.0ms | y | @ | inf | ((/ (- x y) (+ x y)) (- x y) (+ x y)) |
| 1.0ms | y | @ | -inf | ((/ (- x y) (+ x y)) (- x y) (+ x y)) |
| 1.0ms | x | @ | -inf | ((/ (- x y) (+ x y)) (- x y) (+ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 402 |
| 1 | 446 | 385 |
| 2 | 1448 | 315 |
| 3 | 6498 | 315 |
| 0 | 8389 | 287 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(* -1 y) |
(- x y) |
y |
(+ x y) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (/ y x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(+ x (* -1 y)) |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(* y (- (/ x y) 1)) |
(* y (+ 1 (/ x y))) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ x y)) 1) |
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64)) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
y |
(+ x y) |
(+.f64 y x) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) x) y #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64)) x) x) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64)) x) x) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(+ 1 (* -2 (/ y x))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64)) x) x) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64)) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (-.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 32 | 13 |
| 2 | 225 | 13 |
| 0 | 2970 | 13 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
(-.f64 x y) |
(+.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (/.f64 (-.f64 x y) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(*.f64 (/.f64 (neg.f64 (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(*.f64 (/.f64 (neg.f64 (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 x y)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(*.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (-.f64 x y) (+.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 y x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) |
(*.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 y x))) |
(*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (+.f64 y x))) |
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (-.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 y x)))) |
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) (+.f64 y x)) (+.f64 y x)) |
(/.f64 (/.f64 (-.f64 x y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 x y) #s(literal 1 binary64)) (+.f64 y x)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y))) |
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(fma.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))) |
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1 binary64))) |
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y x))) |
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) y)) |
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 9 202 to 947 computations (89.7% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 315 | 10 | 325 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 315 | 11 | 326 |
| Status | Accuracy | Program |
|---|---|---|
| 52.8% | (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) (+.f64 y x)) (+.f64 y x)) | |
| ✓ | 99.9% | (/.f64 (-.f64 x y) (+.f64 x y)) |
| ▶ | 92.3% | (/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
| 87.4% | (/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) | |
| 87.4% | (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 x y)) | |
| ▶ | 46.4% | (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
| ▶ | 99.7% | (*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64))) |
| 54.3% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))) | |
| ▶ | 46.7% | #s(approx (/ (- x y) (+ x y)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))) |
| 53.0% | #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) | |
| ▶ | 45.2% | #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
Compiled 267 to 173 computations (35.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) | |
| cost-diff | 3 | (fma.f64 (/.f64 y x) x x) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 2 binary64) y) x) | |
| cost-diff | 0 | (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (+ x y)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- x y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 y x)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 2 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) | |
| cost-diff | 2 | (*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 137 |
| 0 | 42 | 130 |
| 1 | 69 | 130 |
| 2 | 94 | 126 |
| 3 | 122 | 122 |
| 4 | 183 | 122 |
| 5 | 495 | 122 |
| 6 | 2208 | 122 |
| 7 | 4939 | 122 |
| 8 | 6956 | 122 |
| 0 | 8033 | 122 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64))) |
(-.f64 x y) |
x |
y |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(literal 1 binary64) |
(+.f64 y x) |
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
(+.f64 x y) |
x |
#s(approx (/ (- x y) (+ x y)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) y) x) |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
x |
#s(literal 1 binary64) |
(/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
(-.f64 x y) |
x |
y |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
(fma.f64 (/.f64 y x) x x) |
(/.f64 y x) |
| Outputs |
|---|
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 x y) (+.f64 y x)) |
(-.f64 x y) |
x |
y |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 y x)) |
(/.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(literal 1 binary64) |
(+.f64 y x) |
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 y x)) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
(+.f64 x y) |
(+.f64 y x) |
x |
#s(approx (/ (- x y) (+ x y)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) y) x) |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
x |
#s(literal 1 binary64) |
(/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
(/.f64 (-.f64 x y) #s(approx (+ x y) (+.f64 y x))) |
(-.f64 x y) |
x |
y |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
#s(approx (+ x y) (+.f64 y x)) |
(fma.f64 (/.f64 y x) x x) |
(+.f64 y x) |
(/.f64 y x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) | |
| accuracy | 0.037441259768442016 | (/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) | |
| accuracy | 4.765640213166442 | (fma.f64 (/.f64 y x) x x) | |
| accuracy | 0.0 | (/.f64 #s(literal 2 binary64) y) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) | |
| accuracy | 0.23046875 | (*.f64 (/.f64 #s(literal 2 binary64) y) x) | |
| accuracy | 33.89334835442915 | #s(approx (/ (- x y) (+ x y)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.037441259768442016 | (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) | |
| accuracy | 34.23478768787175 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 34.88861166821152 | #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.0 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) | |
| accuracy | 0.0234375 | (/.f64 #s(literal 1 binary64) (+.f64 y x)) | |
| accuracy | 0.1796875 | (*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64))) |
| 171.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 247 to 47 computations (81% saved)
ival-div: 6.0ms (30.2% of total)ival-mult: 6.0ms (30.2% of total)ival-sub: 3.0ms (15.1% of total)ival-add: 3.0ms (15.1% of total)ival-neg: 1.0ms (5% 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 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) |
(-.f64 x y) |
(/.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
(+.f64 x y) |
#s(approx (/ (- x y) (+ x y)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) y) x) |
(/.f64 #s(literal 2 binary64) y) |
(fma.f64 (/.f64 y x) x x) |
(/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
(+.f64 y x) |
| Outputs |
|---|
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(/ 1 y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)) |
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(* -1 y) |
(- x y) |
y |
(+ x y) |
(* 2 (/ x y)) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ y x))) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x) |
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (/ y x))) |
(* x (- (* 2 (/ 1 y)) (/ 1 x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(* -1 (/ (- (/ y x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x)) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y))))) |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(+ (* -1 (/ y (pow x 2))) (/ 1 x)) |
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ x (* -1 y)) |
(/ (+ (* -1 y) (* 2 x)) y) |
(/ 2 y) |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(/ (+ 1 (* -1 (/ x y))) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y) |
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) |
(* y (- (/ x y) 1)) |
(* y (+ 1 (/ x y))) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(* -1 (/ (- (/ x y) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | x | @ | inf | ((* (- x y) (* (/ 1 (+ y x)) 1)) (* (/ 1 (+ y x)) 1) (- x y) (/ 1 (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (- (* (/ 2 y) x) 1) (* (/ 2 y) x) (/ 2 y) (+ (* (/ y x) x) x) (/ (- x y) (+ x y)) (+ x y) (+ y x)) |
| 2.0ms | y | @ | -inf | ((* (- x y) (* (/ 1 (+ y x)) 1)) (* (/ 1 (+ y x)) 1) (- x y) (/ 1 (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (- (* (/ 2 y) x) 1) (* (/ 2 y) x) (/ 2 y) (+ (* (/ y x) x) x) (/ (- x y) (+ x y)) (+ x y) (+ y x)) |
| 1.0ms | y | @ | inf | ((* (- x y) (* (/ 1 (+ y x)) 1)) (* (/ 1 (+ y x)) 1) (- x y) (/ 1 (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (- (* (/ 2 y) x) 1) (* (/ 2 y) x) (/ 2 y) (+ (* (/ y x) x) x) (/ (- x y) (+ x y)) (+ x y) (+ y x)) |
| 1.0ms | x | @ | -inf | ((* (- x y) (* (/ 1 (+ y x)) 1)) (* (/ 1 (+ y x)) 1) (- x y) (/ 1 (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (- (* (/ 2 y) x) 1) (* (/ 2 y) x) (/ 2 y) (+ (* (/ y x) x) x) (/ (- x y) (+ x y)) (+ x y) (+ y x)) |
| 1.0ms | y | @ | 0 | ((* (- x y) (* (/ 1 (+ y x)) 1)) (* (/ 1 (+ y x)) 1) (- x y) (/ 1 (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (- (* (/ 2 y) x) 1) (* (/ 2 y) x) (/ 2 y) (+ (* (/ y x) x) x) (/ (- x y) (+ x y)) (+ x y) (+ y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 242 | 708 |
| 1 | 720 | 673 |
| 2 | 2162 | 602 |
| 0 | 8392 | 563 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(/ 1 y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)) |
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(* -1 y) |
(- x y) |
y |
(+ x y) |
(* 2 (/ x y)) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ y x))) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x) |
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (/ y x))) |
(* x (- (* 2 (/ 1 y)) (/ 1 x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(* -1 (/ (- (/ y x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x)) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y))))) |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(+ (* -1 (/ y (pow x 2))) (/ 1 x)) |
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ x (* -1 y)) |
(/ (+ (* -1 y) (* 2 x)) y) |
(/ 2 y) |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(/ (+ 1 (* -1 (/ x y))) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y) |
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) |
(* y (- (/ x y) 1)) |
(* y (+ 1 (/ x y))) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(* -1 (/ (- (/ x y) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ x y)) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64)) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 2 binary64) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x (/.f64 #s(literal 1 binary64) y)) |
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 (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))) x (/.f64 #s(literal 1 binary64) y)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
y |
(+ x y) |
(+.f64 y x) |
(* 2 (/ x y)) |
(*.f64 (/.f64 #s(literal 2 binary64) y) x) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal -2 binary64)) x) y #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 (/ y x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x) |
(/.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64) (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (- (* 2 (/ 1 y)) (/ 1 x))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) x)) x) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal -2 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
(* -1 (/ (- (/ y x) 1) x)) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1 binary64) (*.f64 y y)) x) y) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(+ 1 (* -2 (/ y x))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal -2 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
(+ (* -1 (/ y (pow x 2))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (-.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (fma.f64 (/.f64 (neg.f64 y) (pow.f64 x #s(literal 4 binary64))) y (-.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) y (/.f64 #s(literal 1 binary64) x)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(/ (+ (* -1 y) (* 2 x)) y) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64)) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 2 binary64) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))) |
(/ (+ 1 (* -1 (/ x y))) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y) |
(/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) y) |
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 2 binary64) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))) |
(* -1 (/ (- (/ x y) 1) y)) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1 binary64) (*.f64 x x)) y) x) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (-.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 119 |
| 0 | 42 | 112 |
| 1 | 133 | 112 |
| 2 | 787 | 104 |
| 0 | 8557 | 104 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) |
(-.f64 x y) |
(/.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
(+.f64 x y) |
#s(approx (/ (- x y) (+ x y)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) y) x) |
(/.f64 #s(literal 2 binary64) y) |
(fma.f64 (/.f64 y x) x x) |
(/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
(+.f64 y x) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal 1 binary64)) (-.f64 x y)) |
(*.f64 (*.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 x x)))) (-.f64 y x)) |
(*.f64 (*.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 x x)))) (-.f64 y x)) |
(*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(*.f64 (*.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (-.f64 x y)) |
(*.f64 (*.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x)))) (-.f64 y x)) |
(*.f64 (*.f64 (-.f64 x y) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (*.f64 (-.f64 x y) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(*.f64 (*.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 y x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (-.f64 y x) (+.f64 y x))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 y x))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 y x))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (+.f64 y x))) |
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
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(*.f64 (/.f64 (-.f64 x y) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
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(+.f64 (*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (+.f64 y x)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (*.f64 (*.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 y #s(literal 1 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 y #s(literal 1 binary64)) x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 y #s(literal 1 binary64)) x)))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (*.f64 (*.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 y #s(literal 1 binary64)) x))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 y #s(literal 1 binary64)))))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 y #s(literal 1 binary64))))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 y #s(literal 1 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 y #s(literal 1 binary64))))))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 y x))) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (*.f64 y #s(literal 1 binary64)) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 y #s(literal 1 binary64)) x))) |
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 y #s(literal 1 binary64)) x) |
(+.f64 y x) |
(+.f64 x (*.f64 y #s(literal 1 binary64))) |
(+.f64 x y) |
Compiled 24 225 to 2 038 computations (91.6% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 760 | 2 | 762 |
| Fresh | 0 | 5 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 762 | 11 | 773 |
| Status | Accuracy | Program |
|---|---|---|
| 52.8% | (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) (+.f64 y x)) (+.f64 y x)) | |
| ✓ | 99.9% | (/.f64 (-.f64 x y) (+.f64 x y)) |
| ✓ | 92.3% | (/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
| ▶ | 87.4% | (/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) |
| 87.4% | (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 x y)) | |
| ✓ | 46.4% | (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
| ▶ | 99.7% | (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
| ▶ | 54.3% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))) |
| ▶ | 46.7% | #s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) |
| ▶ | 53.0% | #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
| ✓ | 45.2% | #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
Compiled 244 to 159 computations (34.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) | |
| cost-diff | 3 | (fma.f64 (/.f64 x y) y y) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 y x)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 2 | (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 147 |
| 0 | 42 | 144 |
| 1 | 71 | 142 |
| 2 | 104 | 140 |
| 3 | 172 | 136 |
| 4 | 283 | 136 |
| 5 | 842 | 134 |
| 6 | 3140 | 134 |
| 7 | 6447 | 134 |
| 0 | 8319 | 134 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(-.f64 x y) |
x |
y |
(/.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(literal 1 binary64) |
(+.f64 y x) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) |
#s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
x |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)) |
(/.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
y |
#s(literal 1 binary64) |
(/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) |
(-.f64 x y) |
x |
y |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
(fma.f64 (/.f64 x y) y y) |
(/.f64 x y) |
| Outputs |
|---|
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (-.f64 x y) (+.f64 y x)) |
(-.f64 x y) |
x |
y |
(/.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(literal 1 binary64) |
(+.f64 y x) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) |
#s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))) |
#s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) |
#s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
x |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)) |
(/.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
y |
#s(literal 1 binary64) |
(/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) |
(/.f64 (-.f64 x y) #s(approx (+ x y) (+.f64 y x))) |
(-.f64 x y) |
x |
y |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
#s(approx (+ x y) (+.f64 y x)) |
(fma.f64 (/.f64 x y) y y) |
(+.f64 y x) |
(/.f64 x y) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) | |
| accuracy | 0.037441259768442016 | (/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) | |
| accuracy | 7.782666850193683 | (fma.f64 (/.f64 x y) y y) | |
| accuracy | 0.0 | (/.f64 #s(literal -2 binary64) x) | |
| accuracy | 0.1171875 | (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)) | |
| accuracy | 28.978311235807567 | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal 2 binary64) y) | |
| accuracy | 0.0 | #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) | |
| accuracy | 0.11328125 | (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) | |
| accuracy | 33.89334835442915 | #s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) | |
| accuracy | 29.80341596698324 | #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.0234375 | (/.f64 #s(literal 1 binary64) (+.f64 y x)) | |
| accuracy | 0.1796875 | (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
| 55.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 254 to 54 computations (78.7% saved)
ival-div: 8.0ms (35.2% of total)ival-mult: 6.0ms (26.4% of total)ival-add: 6.0ms (26.4% of total)ival-sub: 3.0ms (13.2% 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 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(-.f64 x y) |
(/.f64 #s(literal 1 binary64) (+.f64 y x)) |
(+.f64 y x) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) |
#s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(/.f64 #s(literal 2 binary64) y) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)) |
(/.f64 #s(literal -2 binary64) x) |
(fma.f64 (/.f64 x y) y y) |
(/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
| Outputs |
|---|
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(* -1 y) |
(- x y) |
(/ 1 y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)) |
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
y |
(+ x y) |
(* -2 (/ y x)) |
(/ (+ x (* -2 y)) x) |
(/ -2 x) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ y x))) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x) |
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) |
(* x (+ 1 (/ y x))) |
(* 2 (/ x y)) |
(* x (- (* 2 (/ 1 y)) (/ 1 x))) |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (/ (- (/ y x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y))))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(+ x (* -1 y)) |
(+ (* -1 (/ y (pow x 2))) (/ 1 x)) |
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/ (+ (* -1 y) (* 2 x)) y) |
(/ 2 y) |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(* y (- (/ x y) 1)) |
(/ (+ 1 (* -1 (/ x y))) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y) |
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) |
(* y (+ 1 (/ x y))) |
(* y (- (/ 1 y) (* 2 (/ 1 x)))) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (/ (- (/ x y) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((* (- x y) (/ 1 (+ y x))) (- x y) (/ 1 (+ y x)) (+ y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- (* (/ 2 y) x) 1) (+ (* (/ 2 y) x) -1) (/ 2 y) (/ (- x y) (+ x y)) (+ (* (/ -2 x) y) 1) (/ -2 x) (+ (* (/ x y) y) y) (/ (- x y) (+ x y)) (+ x y)) |
| 1.0ms | x | @ | 0 | ((* (- x y) (/ 1 (+ y x))) (- x y) (/ 1 (+ y x)) (+ y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- (* (/ 2 y) x) 1) (+ (* (/ 2 y) x) -1) (/ 2 y) (/ (- x y) (+ x y)) (+ (* (/ -2 x) y) 1) (/ -2 x) (+ (* (/ x y) y) y) (/ (- x y) (+ x y)) (+ x y)) |
| 1.0ms | x | @ | -inf | ((* (- x y) (/ 1 (+ y x))) (- x y) (/ 1 (+ y x)) (+ y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- (* (/ 2 y) x) 1) (+ (* (/ 2 y) x) -1) (/ 2 y) (/ (- x y) (+ x y)) (+ (* (/ -2 x) y) 1) (/ -2 x) (+ (* (/ x y) y) y) (/ (- x y) (+ x y)) (+ x y)) |
| 1.0ms | y | @ | inf | ((* (- x y) (/ 1 (+ y x))) (- x y) (/ 1 (+ y x)) (+ y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- (* (/ 2 y) x) 1) (+ (* (/ 2 y) x) -1) (/ 2 y) (/ (- x y) (+ x y)) (+ (* (/ -2 x) y) 1) (/ -2 x) (+ (* (/ x y) y) y) (/ (- x y) (+ x y)) (+ x y)) |
| 1.0ms | y | @ | -inf | ((* (- x y) (/ 1 (+ y x))) (- x y) (/ 1 (+ y x)) (+ y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- (* (/ 2 y) x) 1) (+ (* (/ 2 y) x) -1) (/ 2 y) (/ (- x y) (+ x y)) (+ (* (/ -2 x) y) 1) (/ -2 x) (+ (* (/ x y) y) y) (/ (- x y) (+ x y)) (+ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 251 | 734 |
| 1 | 740 | 705 |
| 2 | 2208 | 634 |
| 0 | 8417 | 593 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(* -1 y) |
(- x y) |
(/ 1 y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)) |
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
y |
(+ x y) |
(* -2 (/ y x)) |
(/ (+ x (* -2 y)) x) |
(/ -2 x) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ y x))) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x) |
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) |
(* x (+ 1 (/ y x))) |
(* 2 (/ x y)) |
(* x (- (* 2 (/ 1 y)) (/ 1 x))) |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (/ (- (/ y x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y))))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(+ x (* -1 y)) |
(+ (* -1 (/ y (pow x 2))) (/ 1 x)) |
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/ (+ (* -1 y) (* 2 x)) y) |
(/ 2 y) |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(* y (- (/ x y) 1)) |
(/ (+ 1 (* -1 (/ x y))) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y) |
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) |
(* y (+ 1 (/ x y))) |
(* y (- (/ 1 y) (* 2 (/ 1 x)))) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (/ (- (/ x y) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y)))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ x y)) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64)) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 2 binary64) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x (/.f64 #s(literal 1 binary64) y)) |
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 (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))) x (/.f64 #s(literal 1 binary64) y)) |
y |
(+ x y) |
(+.f64 y x) |
(* -2 (/ y x)) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(/ (+ x (* -2 y)) x) |
(/.f64 (fma.f64 #s(literal -2 binary64) y x) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(/.f64 (fma.f64 #s(literal -2 binary64) y x) x) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal -2 binary64)) x) y #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 (/ y x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x) |
(/.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64) (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* 2 (/ x y)) |
(*.f64 (/.f64 #s(literal 2 binary64) y) x) |
(* x (- (* 2 (/ 1 y)) (/ 1 x))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) x)) x) |
(+ 1 (* -2 (/ y x))) |
(/.f64 (fma.f64 #s(literal -2 binary64) y x) x) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal -2 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(* -1 (/ (- (/ y x) 1) x)) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1 binary64) (*.f64 y y)) x) y) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal -2 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ (* -1 (/ y (pow x 2))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (-.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (fma.f64 (/.f64 (neg.f64 y) (pow.f64 x #s(literal 4 binary64))) y (-.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) y (/.f64 #s(literal 1 binary64) x)) |
(/ (+ (* -1 y) (* 2 x)) y) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64)) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 2 binary64) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/ (+ 1 (* -1 (/ x y))) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y) |
(/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) y) |
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) y) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (- (/ 1 y) (* 2 (/ 1 x)))) |
(/.f64 (fma.f64 #s(literal -2 binary64) y x) x) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 2 binary64) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (/ (- (/ x y) 1) y)) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1 binary64) (*.f64 x x)) y) x) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (-.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 127 |
| 0 | 42 | 127 |
| 1 | 155 | 125 |
| 2 | 986 | 123 |
| 0 | 8233 | 123 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(-.f64 x y) |
(/.f64 #s(literal 1 binary64) (+.f64 y x)) |
(+.f64 y x) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) |
#s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(/.f64 #s(literal 2 binary64) y) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)) |
(/.f64 #s(literal -2 binary64) x) |
(fma.f64 (/.f64 x y) y y) |
(/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (-.f64 x y)) |
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (-.f64 x y) (+.f64 y x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x))) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (-.f64 y x) (+.f64 y x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x))) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 y x))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 y x))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (-.f64 x y) (+.f64 y x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (-.f64 x y) (+.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 x y) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (+.f64 y x))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(*.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (+.f64 y x))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (-.f64 x y)) |
(*.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 y (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (+.f64 y x)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (+.f64 y x)) #s(literal 2 binary64)))) |
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(neg.f64 (/.f64 (-.f64 x y) (neg.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) #s(literal 2 binary64)) (/.f64 (+.f64 y x) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) (/.f64 (pow.f64 (/.f64 y #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) #s(literal 2 binary64)) (/.f64 (+.f64 y x) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) #s(literal 2 binary64)) (/.f64 (*.f64 y x) (pow.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 y #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) #s(literal 2 binary64)) (/.f64 (*.f64 y x) (pow.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (*.f64 x #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) (pow.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) y) (pow.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y x) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) (/.f64 (*.f64 y y) (*.f64 (+.f64 y x) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) (/.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) |
(-.f64 (/.f64 x #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) (/.f64 y #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y x) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (+.f64 y x) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))))) |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
Compiled 18 950 to 1 959 computations (89.7% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 577 | 0 | 577 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 577 | 11 | 588 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.8% | (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) (+.f64 y x)) (+.f64 y x)) |
| ✓ | 99.9% | (/.f64 (-.f64 x y) (+.f64 x y)) |
| ✓ | 92.3% | (/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
| ✓ | 87.4% | (/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) |
| ▶ | 87.4% | (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 x y)) |
| ✓ | 46.4% | (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
| ✓ | 99.7% | (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
| ✓ | 54.3% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))) |
| ✓ | 46.7% | #s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) |
| ✓ | 53.0% | #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
| ✓ | 45.2% | #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
Compiled 142 to 93 computations (34.5% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (+.f64 y x) x) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) (+.f64 y x)) (+.f64 y x)) | |
| cost-diff | 4 | (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) | |
| cost-diff | 8 | (/.f64 (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) (+.f64 y x)) | |
| cost-diff | 0 | (-.f64 (/.f64 x y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 x y)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 107 |
| 0 | 27 | 95 |
| 1 | 43 | 95 |
| 2 | 96 | 83 |
| 3 | 376 | 79 |
| 4 | 1738 | 79 |
| 0 | 8601 | 79 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 x y)) |
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 1 binary64) |
(+.f64 x y) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) (+.f64 y x)) (+.f64 y x)) |
(/.f64 (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) (+.f64 y x)) |
(-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) x) |
(+.f64 y x) |
y |
x |
(*.f64 (+.f64 y x) y) |
| Outputs |
|---|
(/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 x y)) |
(/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 y x)) |
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 1 binary64) |
(+.f64 x y) |
(+.f64 y x) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) (+.f64 y x)) (+.f64 y x)) |
(/.f64 (-.f64 x y) (+.f64 y x)) |
(/.f64 (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) (+.f64 y x)) |
(-.f64 x y) |
(-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(*.f64 (+.f64 y x) x) |
(+.f64 y x) |
y |
x |
(*.f64 (+.f64 y x) y) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (*.f64 (+.f64 y x) y) | |
| accuracy | 0.041347509768442016 | (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) (+.f64 y x)) (+.f64 y x)) | |
| accuracy | 3.4570126724718526 | (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) | |
| accuracy | 28.910567619481668 | (/.f64 (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) (+.f64 y x)) | |
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.0 | #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) | |
| accuracy | 0.041347509768442016 | (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 x y)) | |
| accuracy | 7.806104350193683 | (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
| 26.0ms | 256× | 0 | valid |
Compiled 200 to 33 computations (83.5% saved)
ival-div: 6.0ms (36.7% of total)ival-sub: 4.0ms (24.5% of total)ival-mult: 4.0ms (24.5% of total)ival-add: 2.0ms (12.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 x y)) |
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) (+.f64 y x)) |
(-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) (+.f64 y x)) (+.f64 y x)) |
(*.f64 (+.f64 y x) x) |
(+.f64 x y) |
(*.f64 (+.f64 y x) y) |
| Outputs |
|---|
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(* -1 y) |
(- x y) |
(+ x (* -1 y)) |
(- (/ x y) 1) |
(* -1 (pow y 2)) |
(- (pow x 2) (pow y 2)) |
(* x y) |
(* x (+ x y)) |
y |
(+ x y) |
(pow y 2) |
(+ (* x y) (pow y 2)) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* -2 (/ y x))) |
(- (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(- (+ 1 (+ (* -1 (/ (+ (* -2 (pow y 3)) (* 2 (* y (- (* -1 (pow y 2)) (+ (* -4 (pow y 2)) (pow y 2)))))) (pow x 3))) (* -1 (/ (pow y 2) (pow x 2))))) (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ y (/ (pow y 2) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (pow y 2)) (+ (* -4 (pow y 2)) (pow y 2))) x)) (* -2 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* y (- (* -1 (pow y 2)) (+ (* -4 (pow y 2)) (pow y 2)))) x)) (+ (* -1 (pow y 2)) (* 2 (/ (pow y 3) x)))) (+ (* -4 (pow y 2)) (pow y 2))) x)) (* -2 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow y 2) x))))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(/ (+ x (* -1 y)) y) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(+ (* x y) (pow x 2)) |
(* y (+ x y)) |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(* y (- (/ x y) 1)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(- (/ (pow x 2) (pow y 2)) (+ 1 (+ (* -2 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 4 (/ (pow x 2) (pow y 2))))))) |
(- (+ (* -1 (/ (+ (* 2 (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))))) (* 2 (pow x 3))) (pow y 3))) (/ (pow x 2) (pow y 2))) (+ 1 (+ (* -2 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 4 (/ (pow x 2) (pow y 2))))))) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ 1 (/ x y))) |
(* (pow y 2) (+ 1 (/ x y))) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(- (* -1 (/ (- (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* 2 x)) y)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2))))) y)) (+ (* -2 (/ (pow x 3) y)) (pow x 2))) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* 2 x)) y)) 1) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | ((/ (- x y) (+ x y)) (- x y) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ (- (* (+ y x) x) (* (+ y x) y)) (+ y x)) (- (* (+ y x) x) (* (+ y x) y)) (/ (/ (- (* (+ y x) x) (* (+ y x) y)) (+ y x)) (+ y x)) (* (+ y x) x) (+ x y) (* (+ y x) y)) |
| 2.0ms | x | @ | inf | ((/ (- x y) (+ x y)) (- x y) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ (- (* (+ y x) x) (* (+ y x) y)) (+ y x)) (- (* (+ y x) x) (* (+ y x) y)) (/ (/ (- (* (+ y x) x) (* (+ y x) y)) (+ y x)) (+ y x)) (* (+ y x) x) (+ x y) (* (+ y x) y)) |
| 2.0ms | x | @ | -inf | ((/ (- x y) (+ x y)) (- x y) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ (- (* (+ y x) x) (* (+ y x) y)) (+ y x)) (- (* (+ y x) x) (* (+ y x) y)) (/ (/ (- (* (+ y x) x) (* (+ y x) y)) (+ y x)) (+ y x)) (* (+ y x) x) (+ x y) (* (+ y x) y)) |
| 2.0ms | y | @ | -inf | ((/ (- x y) (+ x y)) (- x y) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ (- (* (+ y x) x) (* (+ y x) y)) (+ y x)) (- (* (+ y x) x) (* (+ y x) y)) (/ (/ (- (* (+ y x) x) (* (+ y x) y)) (+ y x)) (+ y x)) (* (+ y x) x) (+ x y) (* (+ y x) y)) |
| 1.0ms | x | @ | 0 | ((/ (- x y) (+ x y)) (- x y) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ (- (* (+ y x) x) (* (+ y x) y)) (+ y x)) (- (* (+ y x) x) (* (+ y x) y)) (/ (/ (- (* (+ y x) x) (* (+ y x) y)) (+ y x)) (+ y x)) (* (+ y x) x) (+ x y) (* (+ y x) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 257 | 864 |
| 1 | 841 | 818 |
| 2 | 2920 | 693 |
| 0 | 8651 | 650 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(* -1 y) |
(- x y) |
(+ x (* -1 y)) |
(- (/ x y) 1) |
(* -1 (pow y 2)) |
(- (pow x 2) (pow y 2)) |
(* x y) |
(* x (+ x y)) |
y |
(+ x y) |
(pow y 2) |
(+ (* x y) (pow y 2)) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* -2 (/ y x))) |
(- (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(- (+ 1 (+ (* -1 (/ (+ (* -2 (pow y 3)) (* 2 (* y (- (* -1 (pow y 2)) (+ (* -4 (pow y 2)) (pow y 2)))))) (pow x 3))) (* -1 (/ (pow y 2) (pow x 2))))) (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ y (/ (pow y 2) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (pow y 2)) (+ (* -4 (pow y 2)) (pow y 2))) x)) (* -2 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* y (- (* -1 (pow y 2)) (+ (* -4 (pow y 2)) (pow y 2)))) x)) (+ (* -1 (pow y 2)) (* 2 (/ (pow y 3) x)))) (+ (* -4 (pow y 2)) (pow y 2))) x)) (* -2 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow y 2) x))))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(/ (+ x (* -1 y)) y) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(+ (* x y) (pow x 2)) |
(* y (+ x y)) |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(* y (- (/ x y) 1)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(- (/ (pow x 2) (pow y 2)) (+ 1 (+ (* -2 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 4 (/ (pow x 2) (pow y 2))))))) |
(- (+ (* -1 (/ (+ (* 2 (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))))) (* 2 (pow x 3))) (pow y 3))) (/ (pow x 2) (pow y 2))) (+ 1 (+ (* -2 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 4 (/ (pow x 2) (pow y 2))))))) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ 1 (/ x y))) |
(* (pow y 2) (+ 1 (/ x y))) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(- (* -1 (/ (- (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* 2 x)) y)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2))))) y)) (+ (* -2 (/ (pow x 3) y)) (pow x 2))) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* 2 x)) y)) 1) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ x y)) 1) |
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)) y) x) #s(literal 1 binary64)) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(-.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) (*.f64 y y)) x (/.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- (/ x y) 1) |
(/.f64 (-.f64 x y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(- (pow x 2) (pow y 2)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(* x y) |
(*.f64 y x) |
(* x (+ x y)) |
(*.f64 (+.f64 y x) x) |
y |
(+ x y) |
(+.f64 y x) |
(pow y 2) |
(*.f64 y y) |
(+ (* x y) (pow y 2)) |
(*.f64 (+.f64 y x) y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(/ x y) |
(/.f64 x y) |
(* x (- (/ 1 y) (/ 1 x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(+ 1 (* -2 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 y (/.f64 y x))) x))) |
(- (+ 1 (+ (* -1 (/ (+ (* -2 (pow y 3)) (* 2 (* y (- (* -1 (pow y 2)) (+ (* -4 (pow y 2)) (pow y 2)))))) (pow x 3))) (* -1 (/ (pow y 2) (pow x 2))))) (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 y (/.f64 y x))) x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (fma.f64 (/.f64 y x) x x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ y (/ (pow y 2) x))) |
(*.f64 (fma.f64 y (/.f64 y x) y) x) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (pow y 2)) (+ (* -4 (pow y 2)) (pow y 2))) x)) (* -2 y)) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* y (- (* -1 (pow y 2)) (+ (* -4 (pow y 2)) (pow y 2)))) x)) (+ (* -1 (pow y 2)) (* 2 (/ (pow y 3) x)))) (+ (* -4 (pow y 2)) (pow y 2))) x)) (* -2 y)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 y y)) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) x)) (neg.f64 x))) x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow y 2) x))))) |
(*.f64 (fma.f64 y (/.f64 y x) y) x) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal -2 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
(/ (+ x (* -1 y)) y) |
(/.f64 (-.f64 x y) y) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(+ (* x y) (pow x 2)) |
(*.f64 (+.f64 y x) x) |
(* y (+ x y)) |
(*.f64 (+.f64 y x) y) |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)) y) x) #s(literal 1 binary64)) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)) y) x) #s(literal 1 binary64))) |
(* y (- (/ x y) 1)) |
(*.f64 (/.f64 (-.f64 x y) y) y) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(*.f64 (*.f64 (-.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1 binary64)) y) y) |
(- (/ (pow x 2) (pow y 2)) (+ 1 (+ (* -2 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 4 (/ (pow x 2) (pow y 2))))))) |
(-.f64 (*.f64 x (/.f64 (/.f64 x y) y)) (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 3 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)))) |
(- (+ (* -1 (/ (+ (* 2 (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))))) (* 2 (pow x 3))) (pow y 3))) (/ (pow x 2) (pow y 2))) (+ 1 (+ (* -2 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 4 (/ (pow x 2) (pow y 2))))))) |
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) x (pow.f64 x #s(literal 3 binary64))) y) (*.f64 x x)) (*.f64 y y)) (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 3 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)))) |
(* y (+ x (/ (pow x 2) y))) |
(*.f64 (fma.f64 x (/.f64 x y) x) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* (pow y 2) (+ 1 (/ x y))) |
(*.f64 (fma.f64 (/.f64 x y) y y) y) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)) y) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(-.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (*.f64 x (/.f64 x y)) x)) y))) y) #s(literal 1 binary64)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (/.f64 (-.f64 x y) y) y) |
(- (* -1 (/ (- (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* 2 x)) y)) 1) |
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (neg.f64 y))) (neg.f64 y)) #s(literal 1 binary64)) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2))))) y)) (+ (* -2 (/ (pow x 3) y)) (pow x 2))) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* 2 x)) y)) 1) |
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) x (pow.f64 x #s(literal 3 binary64))) y) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (neg.f64 y))) (neg.f64 y)) #s(literal 1 binary64)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(*.f64 (fma.f64 x (/.f64 x y) x) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (-.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 96 |
| 0 | 27 | 84 |
| 1 | 105 | 68 |
| 2 | 891 | 68 |
| 0 | 9010 | 68 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 x y)) |
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) (+.f64 y x)) |
(-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) (+.f64 y x)) (+.f64 y x)) |
(*.f64 (+.f64 y x) x) |
(+.f64 x y) |
(*.f64 (+.f64 y x) y) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 y x)))) (-.f64 y x)) |
(*.f64 (*.f64 (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y (*.f64 x (-.f64 x y)))) #s(literal 1 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(*.f64 (*.f64 (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y (*.f64 x (-.f64 x y)))) #s(literal 1 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal 1 binary64)) (-.f64 x y)) |
(*.f64 (*.f64 (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x)) (/.f64 (-.f64 x y) (+.f64 y x))) |
(*.f64 (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(*.f64 (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (neg.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) (neg.f64 (+.f64 y x))) |
(/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 y x)) |
(neg.f64 (*.f64 (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))) |
(neg.f64 (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (neg.f64 (+.f64 y x)))) |
(fma.f64 (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (*.f64 (+.f64 y x) (-.f64 x y))) x (*.f64 (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (*.f64 y #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 x y)) (*.f64 (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y))) |
(fma.f64 (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (-.f64 y x)) (*.f64 (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
(fma.f64 (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (*.f64 (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 x y)))) |
(fma.f64 (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (-.f64 y x)))) |
(fma.f64 (*.f64 x (-.f64 x y)) (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 y y) (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 y (-.f64 y x)) (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x (-.f64 x y)) (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 x (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (*.f64 (+.f64 y x) (-.f64 x y))))) |
(+.f64 (*.f64 x (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (*.f64 (+.f64 y x) (-.f64 x y)))) (*.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (*.f64 (+.f64 y x) (-.f64 x y))))) |
(+.f64 (*.f64 (*.f64 x (-.f64 x y)) (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 y y) (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
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(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y) (+.f64 y x)) (/.f64 y (+.f64 y x)) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fabs.f64 (+.f64 y x))) (/.f64 (*.f64 y y) (fabs.f64 (+.f64 y x))) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (neg.f64 (+.f64 y x))) (/.f64 (*.f64 y y) (neg.f64 (+.f64 y x))) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (+.f64 y x) (fabs.f64 (+.f64 y x))) (/.f64 (*.f64 (*.f64 (+.f64 y x) y) y) (fabs.f64 (+.f64 y x))) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (+.f64 y x) (neg.f64 (+.f64 y x))) (/.f64 (*.f64 (*.f64 (+.f64 y x) y) y) (neg.f64 (+.f64 y x))) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 y y) (neg.f64 (+.f64 y x))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (neg.f64 (+.f64 y x))) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y (neg.f64 (+.f64 y x))) (/.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y) (neg.f64 (+.f64 y x))) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 y x)) |
(fma.f64 (fabs.f64 (*.f64 y #s(literal 1 binary64))) (fabs.f64 (*.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) (*.f64 y x)) |
(fma.f64 (/.f64 y (+.f64 y x)) (/.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y) (+.f64 y x)) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) y (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) y)) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) y (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) y)) |
(fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (+.f64 y x) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 y x)) |
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 y (+.f64 y x)) (/.f64 y (+.f64 y x))) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 y x)) |
(fma.f64 (*.f64 (+.f64 y x) y) (/.f64 y (+.f64 y x)) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (+.f64 y x) (/.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 y x) y) y) (+.f64 y x)) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (*.f64 y (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))))) |
(fma.f64 y (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (*.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(fma.f64 y y (*.f64 y x)) |
(fma.f64 y x (*.f64 y y)) |
(fma.f64 x y (*.f64 y y)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (-.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 y x)))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (*.f64 y #s(literal 1 binary64)))) |
(-.f64 (*.f64 y x) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y))) |
(-.f64 (*.f64 y x) (*.f64 (neg.f64 y) y)) |
(-.f64 (*.f64 y y) (*.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) y) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) y)) |
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) y) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) y)) |
(+.f64 (*.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) (*.f64 y (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))))) |
(+.f64 (*.f64 y (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) (*.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(+.f64 (*.f64 y x) (*.f64 y y)) |
(+.f64 (*.f64 y y) (*.f64 y x)) |
Compiled 44 951 to 4 602 computations (89.8% saved)
11 alts after pruning (0 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 328 | 0 | 1 328 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 9 | 9 |
| Total | 1 328 | 11 | 1 339 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.8% | (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) (+.f64 y x)) (+.f64 y x)) |
| ✓ | 99.9% | (/.f64 (-.f64 x y) (+.f64 x y)) |
| ✓ | 92.3% | (/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
| ✓ | 87.4% | (/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) |
| ✓ | 87.4% | (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 x y)) |
| ✓ | 46.4% | (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
| ✓ | 99.7% | (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
| ✓ | 54.3% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))) |
| ✓ | 46.7% | #s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) |
| ✓ | 53.0% | #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
| ✓ | 45.2% | #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
Compiled 310 to 147 computations (52.6% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))) |
(/.f64 (-.f64 x y) (+.f64 x y)) |
#s(approx (/ (- x y) (+ x y)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))) |
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) |
(/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
(/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 x y)) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) (+.f64 y x)) (+.f64 y x)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
3 calls:
| 6.0ms | x |
| 4.0ms | y |
| 3.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.2% | 3 | x |
| 77.5% | 3 | y |
| 98.0% | 2 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
1 calls:
| 1.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 2 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
| Outputs |
|---|
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
1 calls:
| 1.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 2 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
1 calls:
| 3.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 2 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.2% | 1 | x |
| 45.2% | 1 | y |
| 45.2% | 1 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9984789805161478 | 0.9977444568910366 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9984789805161478 | 0.9977444568910366 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9984789805161478 | 0.9977444568910366 |
Compiled 10 to 10 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | -0.9984789805161478 | 0.9977444568910366 |
| 5.0ms | 240× | 0 | valid |
Compiled 280 to 250 computations (10.7% saved)
ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 160 |
| 1 | 49 | 160 |
| 2 | 55 | 160 |
| 3 | 57 | 160 |
| 4 | 59 | 160 |
| 5 | 60 | 160 |
| 6 | 62 | 160 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 402 |
| 1 | 446 | 385 |
| 2 | 1448 | 315 |
| 3 | 6498 | 315 |
| 0 | 8389 | 287 |
| 0 | 242 | 708 |
| 1 | 720 | 673 |
| 2 | 2162 | 602 |
| 0 | 8392 | 563 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 191 to 77 computations (59.7% saved)
Compiled 356 to 96 computations (73% saved)
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