
Time bar (total: 3.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 481.0ms | 8 256× | 0 | valid |
ival-sub: 145.0ms (53.1% of total)ival-sqrt: 65.0ms (23.8% of total)ival-fabs: 53.0ms (19.4% of total)ival-true: 6.0ms (2.2% of total)ival-assert: 4.0ms (1.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (fabs.f64 (-.f64 x y)) |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (fabs.f64 (-.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 |
| 24.0ms | 512× | 0 | valid |
Compiled 51 to 24 computations (52.9% saved)
ival-sub: 3.0ms (30% of total)ival-fabs: 3.0ms (30% of total)ival-sqrt: 3.0ms (30% 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 | 31 |
| 1 | 44 | 27 |
| 2 | 120 | 27 |
| 3 | 360 | 27 |
| 4 | 1184 | 27 |
| 5 | 3724 | 27 |
| 6 | 6762 | 27 |
| 0 | 5 | 5 |
| 0 | 8 | 5 |
| 1 | 15 | 5 |
| 2 | 34 | 5 |
| 3 | 99 | 5 |
| 4 | 457 | 5 |
| 5 | 1928 | 5 |
| 6 | 4202 | 5 |
| 7 | 6625 | 5 |
| 0 | 8255 | 5 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (fabs.f64 (-.f64 y x))) |
(sort x y)
Compiled 5 to 5 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
Compiled 5 to 5 computations (0% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (fabs.f64 (-.f64 x y)) | |
| cost-diff | 0 | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 0 | 8 | 14 |
| 1 | 15 | 14 |
| 2 | 34 | 14 |
| 3 | 99 | 14 |
| 4 | 457 | 14 |
| 5 | 1928 | 14 |
| 6 | 4202 | 14 |
| 7 | 6625 | 14 |
| 0 | 8255 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
x |
y |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (fabs.f64 (-.f64 y x))) |
(fabs.f64 (-.f64 x y)) |
(fabs.f64 (-.f64 y x)) |
(-.f64 x y) |
x |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (fabs.f64 (-.f64 x y)) | |
| accuracy | 0.0078125 | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
| 11.0ms | 256× | 0 | valid |
Compiled 30 to 12 computations (60% saved)
ival-sqrt: 2.0ms (40.1% of total)ival-sub: 1.0ms (20% of total)ival-fabs: 1.0ms (20% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
| Outputs |
|---|
(sqrt (fabs (- x y))) |
(fabs (- x y)) |
(* -1 y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(sqrt (fabs (neg (+ y (* -1 x))))) |
(fabs (neg (+ y (* -1 x)))) |
(* -1 (* x (- (/ y x) 1))) |
(+ x (* -1 y)) |
(* y (- (/ x y) 1)) |
(sqrt (fabs (+ x (* -1 y)))) |
(fabs (+ x (* -1 y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((sqrt (fabs (- x y))) (fabs (- x y)) (- x y)) |
| 1.0ms | x | @ | inf | ((sqrt (fabs (- x y))) (fabs (- x y)) (- x y)) |
| 0.0ms | x | @ | -inf | ((sqrt (fabs (- x y))) (fabs (- x y)) (- x y)) |
| 0.0ms | x | @ | 0 | ((sqrt (fabs (- x y))) (fabs (- x y)) (- x y)) |
| 0.0ms | y | @ | inf | ((sqrt (fabs (- x y))) (fabs (- x y)) (- x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 48 |
| 1 | 95 | 48 |
| 2 | 262 | 48 |
| 3 | 791 | 48 |
| 4 | 2177 | 48 |
| 5 | 4424 | 48 |
| 0 | 8101 | 48 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (fabs (- x y))) |
(fabs (- x y)) |
(* -1 y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(sqrt (fabs (neg (+ y (* -1 x))))) |
(fabs (neg (+ y (* -1 x)))) |
(* -1 (* x (- (/ y x) 1))) |
(+ x (* -1 y)) |
(* y (- (/ x y) 1)) |
(sqrt (fabs (+ x (* -1 y)))) |
(fabs (+ x (* -1 y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
| Outputs |
|---|
(sqrt (fabs (- x y))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(sqrt (fabs (neg (+ y (* -1 x))))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 x y)) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(sqrt (fabs (+ x (* -1 y)))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 x y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 12 |
| 0 | 8 | 11 |
| 1 | 32 | 11 |
| 2 | 230 | 10 |
| 3 | 3115 | 10 |
| 0 | 9634 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
| Outputs |
|---|
(*.f64 (fabs.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (fabs.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (-.f64 y x) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 y x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 y x))))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 y x)))) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y x))) |
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (neg.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))) |
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (neg.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (-.f64 y x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (-.f64 y x)) |
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (sqrt.f64 (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (sqrt.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (pow.f64 (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (pow.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1/2 binary64)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 y x))))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x))) |
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (-.f64 y x) (fabs.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)))) |
(*.f64 (-.f64 y x) (sqrt.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))))) |
(*.f64 (-.f64 y x) (pow.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 y x) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (-.f64 y x) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 y x))) |
(pow.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))) (hypot.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 y x))) |
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(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 y x))))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 y x)) (*.f64 y (/.f64 y (-.f64 y x)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 y x))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 y x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(fma.f64 y #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))) |
(fma.f64 y #s(literal -1 binary64) (neg.f64 (neg.f64 x))) |
(fma.f64 y #s(literal -1 binary64) (neg.f64 x)) |
(fma.f64 y #s(literal -1 binary64) x) |
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))) |
(fma.f64 y #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(fma.f64 y #s(literal 1 binary64) (neg.f64 x)) |
(fma.f64 y #s(literal 1 binary64) x) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 y x) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(fma.f64 x (/.f64 x (-.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 y x))))) |
(fma.f64 x (/.f64 x (-.f64 y x)) (*.f64 y (/.f64 y (-.f64 y x)))) |
(fma.f64 x #s(literal -1 binary64) y) |
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(-.f64 (+.f64 x #s(literal 0 binary64)) y) |
(-.f64 #s(literal 0 binary64) (-.f64 y x)) |
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(-.f64 (neg.f64 x) y) |
(-.f64 y x) |
(-.f64 x y) |
(fabs.f64 (-.f64 y (+.f64 x #s(literal 0 binary64)))) |
(fabs.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (-.f64 y x) #s(literal 0 binary64)))) |
(fabs.f64 (neg.f64 (-.f64 (-.f64 y x) #s(literal 0 binary64)))) |
(fabs.f64 (-.f64 y (neg.f64 x))) |
(fabs.f64 (-.f64 (-.f64 y x) #s(literal 0 binary64))) |
(fabs.f64 (-.f64 y x)) |
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) y) |
(hypot.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) y) |
(hypot.f64 (sqrt.f64 (neg.f64 (*.f64 x x))) y) |
(hypot.f64 (neg.f64 (neg.f64 x)) y) |
(hypot.f64 (neg.f64 x) y) |
(hypot.f64 y (sqrt.f64 (*.f64 (neg.f64 x) x))) |
(hypot.f64 y (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(hypot.f64 y (sqrt.f64 (neg.f64 (*.f64 x x)))) |
(hypot.f64 y (neg.f64 (neg.f64 x))) |
(hypot.f64 y (neg.f64 x)) |
(hypot.f64 y x) |
(hypot.f64 x y) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (-.f64 y x))) |
(+.f64 (cosh.f64 (log.f64 (-.f64 y x))) (sinh.f64 (log.f64 (-.f64 y x)))) |
(+.f64 (-.f64 x #s(literal 0 binary64)) y) |
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x (-.f64 y x)))) (*.f64 y (/.f64 y (-.f64 y x)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (*.f64 x #s(literal -1 binary64)) y) |
(+.f64 (neg.f64 (neg.f64 x)) y) |
(+.f64 #s(literal 0 binary64) (-.f64 y x)) |
(+.f64 (*.f64 x (/.f64 x (-.f64 y x))) (neg.f64 (*.f64 y (/.f64 y (-.f64 y x))))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (neg.f64 x) y) |
(+.f64 y (*.f64 x #s(literal -1 binary64))) |
(+.f64 y (neg.f64 (neg.f64 x))) |
(+.f64 y (neg.f64 x)) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 6 141 to 962 computations (84.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 358 | 2 | 360 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 359 | 2 | 361 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.1% | (/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) |
| ▶ | 100.0% | (sqrt.f64 (-.f64 y x)) |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (-.f64 y x)) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 26 |
| 0 | 8 | 26 |
| 1 | 13 | 26 |
| 2 | 22 | 26 |
| 3 | 39 | 26 |
| 4 | 76 | 26 |
| 5 | 146 | 26 |
| 6 | 297 | 26 |
| 7 | 477 | 26 |
| 8 | 726 | 26 |
| 9 | 796 | 26 |
| 10 | 897 | 26 |
| 0 | 897 | 26 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
x |
(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) |
(-.f64 y x) |
y |
x |
(sqrt.f64 (-.f64 y x)) |
| Outputs |
|---|
(sqrt.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
x |
(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) |
(-.f64 y x) |
y |
x |
(sqrt.f64 (-.f64 y x)) |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0.0078125 | (sqrt.f64 (-.f64 y x)) | |
| accuracy | 0.5546875 | (/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0.0078125 | (sqrt.f64 (-.f64 y x)) |
| 13.0ms | 256× | 0 | valid |
Compiled 54 to 12 computations (77.8% saved)
ival-sub: 2.0ms (31.7% of total)ival-div: 2.0ms (31.7% of total)ival-sqrt: 2.0ms (31.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(sqrt.f64 (-.f64 y x)) |
(-.f64 y x) |
(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) |
| Outputs |
|---|
(sqrt y) |
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y))))) |
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3)))))))) |
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5)))))))))) |
y |
(+ y (* -1 x)) |
(* (sqrt x) (sqrt -1)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1))) |
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1))) |
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1))) |
(- y x) |
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))))))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | ((sqrt (- y x)) (- y x) (/ (- y x) (sqrt (- y x)))) |
| 1.0ms | x | @ | inf | ((sqrt (- y x)) (- y x) (/ (- y x) (sqrt (- y x)))) |
| 1.0ms | x | @ | -inf | ((sqrt (- y x)) (- y x) (/ (- y x) (sqrt (- y x)))) |
| 1.0ms | y | @ | 0 | ((sqrt (- y x)) (- y x) (/ (- y x) (sqrt (- y x)))) |
| 1.0ms | y | @ | inf | ((sqrt (- y x)) (- y x) (/ (- y x) (sqrt (- y x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 800 |
| 0 | 621 | 762 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(sqrt y) |
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y))))) |
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3)))))))) |
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5)))))))))) |
y |
(+ y (* -1 x)) |
(* (sqrt x) (sqrt -1)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1))) |
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1))) |
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1))) |
(- y x) |
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))))))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))) |
| Outputs |
|---|
(sqrt y) |
(sqrt.f64 y) |
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y)) |
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y)) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(* (sqrt x) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64))) x) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (*.f64 y y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64)))) x) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (*.f64 y y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64))))) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* -1 (* (sqrt x) (sqrt -1))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 y y) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 y y) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 1 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))) |
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1/8 binary64))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))) |
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1/8 binary64))) y)) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))) |
(- y x) |
(-.f64 y x) |
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal 1 binary64)) y) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 y))) |
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)) |
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)) |
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) y)) |
(* -1 (* y (- (/ x y) 1))) |
(neg.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))) y)) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 0 | 8 | 11 |
| 1 | 36 | 11 |
| 2 | 262 | 11 |
| 3 | 3101 | 11 |
| 0 | 9326 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 y x)) |
(-.f64 y x) |
(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) |
| Outputs |
|---|
(*.f64 (fabs.f64 (pow.f64 (-.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (fabs.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 3/2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 x y) x (*.f64 y y))) |
(*.f64 (fabs.f64 (/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 x y))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x y)))) |
(*.f64 (fabs.f64 (/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 x y))) (+.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (*.f64 (-.f64 x y) x) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) |
(*.f64 (fabs.f64 (/.f64 (-.f64 x y) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))) |
(*.f64 (fabs.f64 (pow.f64 (-.f64 x y) #s(literal 3/4 binary64))) (fabs.f64 (pow.f64 (-.f64 x y) #s(literal -1/4 binary64)))) |
(*.f64 (fabs.f64 (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) (sqrt.f64 (-.f64 x y))) |
(*.f64 (fabs.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 x y) #s(literal 1/4 binary64)))) (fabs.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal 1/4 binary64))))) |
(*.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 x y) #s(literal 1/4 binary64)))) (fabs.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal 1/4 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))) (fabs.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (fabs.f64 (*.f64 (+.f64 (-.f64 x y) (/.f64 (*.f64 x y) (-.f64 x y))) (sqrt.f64 (-.f64 x y)))) (fabs.f64 (pow.f64 (+.f64 (-.f64 x y) (/.f64 (*.f64 x y) (-.f64 x y))) #s(literal -1 binary64)))) |
(*.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 x y)))) (fabs.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (fabs.f64 (fma.f64 (sqrt.f64 (-.f64 x y)) y (*.f64 (sqrt.f64 (-.f64 x y)) x))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (fabs.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (fabs.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))) |
(*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 x y))))) |
(*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x y)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (*.f64 (-.f64 x y) x) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 3/4 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (-.f64 x y) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (sqrt.f64 (-.f64 x y)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 3/2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 x y))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x y))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 x y))) (+.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x y) x) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))) |
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (-.f64 x y) #s(literal 1/4 binary64))) |
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(fma.f64 (/.f64 y (sqrt.f64 (-.f64 x y))) #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 (-.f64 x y))) #s(literal 1 binary64))) |
(fma.f64 x (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)) (/.f64 y (sqrt.f64 (-.f64 x y)))) |
(fma.f64 y (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)) (neg.f64 x))) |
(fma.f64 y (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (-.f64 x y)))) |
(sqrt.f64 (-.f64 x y)) |
(-.f64 (/.f64 (pow.f64 (/.f64 y (sqrt.f64 (-.f64 x y))) #s(literal 3 binary64)) (+.f64 (-.f64 x y) (/.f64 (*.f64 x y) (-.f64 x y)))) (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 x y))) #s(literal 3 binary64)) (+.f64 (-.f64 x y) (/.f64 (*.f64 x y) (-.f64 x y))))) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) y) (-.f64 x y)) (/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) x) (-.f64 x y))) |
(-.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 x y) #s(literal 3/2 binary64))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal 3/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 x y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 x y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y))) |
(-.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 x y))) (sqrt.f64 (-.f64 x y))) (/.f64 (*.f64 x (/.f64 x (-.f64 x y))) (sqrt.f64 (-.f64 x y)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (sqrt.f64 (-.f64 x y))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (sqrt.f64 (-.f64 x y)))) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 x y))) |
(-.f64 (/.f64 y (sqrt.f64 (-.f64 x y))) (/.f64 x (sqrt.f64 (-.f64 x y)))) |
(fabs.f64 (-.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 x y))) #s(literal 3 binary64)) (+.f64 (-.f64 x y) (/.f64 (*.f64 x y) (-.f64 x y)))) (/.f64 (pow.f64 (/.f64 y (sqrt.f64 (-.f64 x y))) #s(literal 3 binary64)) (+.f64 (-.f64 x y) (/.f64 (*.f64 x y) (-.f64 x y)))))) |
(fabs.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) x) (-.f64 x y)) (/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) y) (-.f64 x y)))) |
(fabs.f64 (-.f64 (/.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal 3/2 binary64))) (/.f64 (*.f64 y y) (pow.f64 (-.f64 x y) #s(literal 3/2 binary64))))) |
(fabs.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 x y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 x y)))))) |
(fabs.f64 (-.f64 (sqrt.f64 (-.f64 x y)) (/.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 x y))))) |
(fabs.f64 (-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x y))) (sqrt.f64 (-.f64 x y))) (/.f64 (*.f64 y (/.f64 y (-.f64 x y))) (sqrt.f64 (-.f64 x y))))) |
(fabs.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (sqrt.f64 (-.f64 x y))) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (sqrt.f64 (-.f64 x y))))) |
(fabs.f64 (-.f64 (sqrt.f64 (-.f64 x y)) #s(literal 0 binary64))) |
(fabs.f64 (-.f64 (/.f64 x (sqrt.f64 (-.f64 x y))) (/.f64 y (sqrt.f64 (-.f64 x y))))) |
(fabs.f64 (sqrt.f64 (-.f64 x y))) |
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 x))) |
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 x)) |
(hypot.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 x))) |
(hypot.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 x)) |
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 x))) |
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x)) |
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 (neg.f64 y)))) |
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 y))) |
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y)) |
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 (neg.f64 y)))) |
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 y))) |
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(hypot.f64 (/.f64 y (sqrt.f64 (-.f64 x y))) (/.f64 x (sqrt.f64 (-.f64 x y)))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 x y)) #s(literal 1/4 binary64) (*.f64 (log.f64 (-.f64 x y)) #s(literal 1/4 binary64)))) |
(exp.f64 (/.f64 (log.f64 (-.f64 x y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x y))) #s(literal -1/2 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (-.f64 x y)))) |
(+.f64 (*.f64 (/.f64 y (sqrt.f64 (-.f64 x y))) #s(literal 1 binary64)) (*.f64 (/.f64 x (sqrt.f64 (-.f64 x y))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)) (neg.f64 x)) (/.f64 y (sqrt.f64 (-.f64 x y)))) |
(+.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 x y) #s(literal 3/2 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x y) #s(literal 3/2 binary64)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 x y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 x y))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 x y)))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 x y))))) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 x y))) |
(+.f64 (/.f64 x (sqrt.f64 (-.f64 x y))) (/.f64 y (sqrt.f64 (-.f64 x y)))) |
(+.f64 (/.f64 y (sqrt.f64 (-.f64 x y))) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)) (neg.f64 x))) |
(+.f64 (/.f64 y (sqrt.f64 (-.f64 x y))) (/.f64 x (sqrt.f64 (-.f64 x y)))) |
Compiled 30 226 to 2 314 computations (92.3% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 388 | 2 | 1 390 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 0 | 0 |
| Total | 1 388 | 4 | 1 392 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.1% | (/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 y x)) |
| ▶ | 54.2% | (sqrt.f64 #s(approx (- y x) (neg.f64 x))) |
| ▶ | 46.7% | #s(approx (sqrt (- y x)) (sqrt.f64 y)) |
Compiled 26 to 21 computations (19.2% saved)
| 1× | egg-herbie |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- y x) (neg.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- y x) (neg.f64 x))) | |
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 0 | #s(approx (sqrt (- y x)) (sqrt.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 26 |
| 0 | 12 | 26 |
| 1 | 17 | 26 |
| 2 | 26 | 26 |
| 3 | 41 | 26 |
| 4 | 70 | 26 |
| 5 | 94 | 26 |
| 6 | 124 | 26 |
| 7 | 147 | 26 |
| 8 | 151 | 26 |
| 0 | 151 | 26 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (sqrt (- y x)) (sqrt.f64 y)) |
(sqrt.f64 y) |
y |
(sqrt.f64 #s(approx (- y x) (neg.f64 x))) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
x |
| Outputs |
|---|
#s(approx (sqrt (- y x)) (sqrt.f64 y)) |
(sqrt.f64 y) |
y |
(sqrt.f64 #s(approx (- y x) (neg.f64 x))) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
x |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.00390625 | (sqrt.f64 #s(approx (- y x) (neg.f64 x))) | |
| accuracy | 28.831226561962573 | #s(approx (- y x) (neg.f64 x)) | |
| accuracy | 0 | (sqrt.f64 y) | |
| accuracy | 14.849455127763722 | #s(approx (sqrt (- y x)) (sqrt.f64 y)) |
| 32.0ms | 179× | 0 | valid |
| 4.0ms | 77× | 0 | invalid |
Compiled 45 to 17 computations (62.2% saved)
ival-sub: 3.0ms (41.2% of total)ival-sqrt: 3.0ms (41.2% of total)ival-neg: 1.0ms (13.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (sqrt (- y x)) (sqrt.f64 y)) |
(sqrt.f64 y) |
(sqrt.f64 #s(approx (- y x) (neg.f64 x))) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(sqrt y) |
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y))))) |
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3)))))))) |
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5)))))))))) |
y |
(+ y (* -1 x)) |
(* -1 x) |
(* (sqrt x) (sqrt -1)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* x (- (/ y x) 1)) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1))) |
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1))) |
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1))) |
(- y x) |
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))))))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
(* -1 (* y (- (/ x y) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x)) |
| 0.0ms | x | @ | inf | ((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x)) |
| 0.0ms | y | @ | inf | ((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x)) |
| 0.0ms | x | @ | -inf | ((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x)) |
| 0.0ms | y | @ | 0 | ((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 174 | 704 |
| 0 | 566 | 670 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(sqrt y) |
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y))))) |
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3)))))))) |
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5)))))))))) |
y |
(+ y (* -1 x)) |
(* -1 x) |
(* (sqrt x) (sqrt -1)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* x (- (/ y x) 1)) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1))) |
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1))) |
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1))) |
(- y x) |
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))))))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
(* -1 (* y (- (/ x y) 1))) |
| Outputs |
|---|
(sqrt y) |
(sqrt.f64 y) |
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y)) |
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y)) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* (sqrt x) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64))) x) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (*.f64 y y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64)))) x) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (*.f64 y y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64))))) x) |
(* x (- (/ y x) 1)) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* -1 (* (sqrt x) (sqrt -1))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 y y) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 y y) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 1 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))) |
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1/8 binary64))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))) |
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1/8 binary64))) y)) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))) |
(- y x) |
(-.f64 y x) |
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal 1 binary64)) y) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 y))) |
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)) |
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)) |
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) y)) |
(* -1 (* y (- (/ x y) 1))) |
(neg.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 24 |
| 0 | 12 | 24 |
| 1 | 34 | 24 |
| 2 | 196 | 24 |
| 3 | 1961 | 21 |
| 0 | 10116 | 21 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (sqrt (- y x)) (sqrt.f64 y)) |
(sqrt.f64 y) |
(sqrt.f64 #s(approx (- y x) (neg.f64 x))) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (sqrt (- y x)) (sqrt.f64 y)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 y) #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 y)) |
(pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64)) |
(pow.f64 y #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 y y) #s(literal 0 binary64))) (sqrt.f64 (-.f64 y #s(literal 0 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 y y (-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 0 binary64)))))) |
(sqrt.f64 y) |
(fabs.f64 (neg.f64 (sqrt.f64 y))) |
(fabs.f64 (sqrt.f64 y)) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1/4 binary64) (*.f64 (log.f64 y) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 y))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 #s(approx (- y x) x) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 #s(approx (- y x) x) #s(literal 1/4 binary64))))) |
(*.f64 (neg.f64 (pow.f64 #s(approx (- y x) x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- y x) x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(approx (- y x) x) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- y x) x) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(approx (- y x) x))) |
(pow.f64 (neg.f64 (pow.f64 #s(approx (- y x) x) #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- y x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(approx (- y x) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(approx (- y x) x) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 #s(approx (- y x) x)) (sqrt.f64 #s(approx (- y x) x)))) |
(sqrt.f64 #s(approx (- y x) x)) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (- y x) x)))) |
(fabs.f64 (sqrt.f64 #s(approx (- y x) x))) |
(exp.f64 (fma.f64 (log.f64 #s(approx (- y x) x)) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(approx (- y x) x)) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 #s(approx (- y x) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- y x) x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- y x) x) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- y x) x)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- y x) x)))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- y x) x))))) |
#s(approx (- y x) x) |
(exp.f64 (log.f64 #s(approx (- y x) x))) |
(+.f64 (cosh.f64 (log.f64 #s(approx (- y x) x))) (sinh.f64 (log.f64 #s(approx (- y x) x)))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) x) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (*.f64 x x) (fabs.f64 (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fabs.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 x (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) x) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) x) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)))))) |
(/.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 x x) x) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(neg.f64 x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 #s(literal 0 binary64) x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 #s(literal 0 binary64) x)) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) x (/.f64 #s(literal 0 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) x (/.f64 #s(literal 0 binary64) x)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (fabs.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) x)) |
(fma.f64 (*.f64 x x) (fabs.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) x)) |
(fma.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fabs.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 0 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fabs.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 0 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 x (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) x)) |
(fma.f64 x (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 x #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) x)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 x #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) x)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(sqrt.f64 (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 0 binary64) x) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x (/.f64 #s(literal 0 binary64) x)) |
(fabs.f64 (-.f64 x (/.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(fabs.f64 (-.f64 x #s(literal 0 binary64))) |
(fabs.f64 x) |
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(exp.f64 (log.f64 x)) |
(+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 x x)) (/.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 x x))) |
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x))) |
(+.f64 (/.f64 #s(literal 0 binary64) x) x) |
(+.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x) |
(+.f64 #s(literal 0 binary64) x) |
(+.f64 x (/.f64 #s(literal 0 binary64) x)) |
(+.f64 x #s(literal 0 binary64)) |
x |
Compiled 2 145 to 565 computations (73.7% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 144 | 0 | 144 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 2 | 2 |
| Total | 144 | 4 | 148 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.1% | (/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 y x)) |
| ✓ | 54.2% | (sqrt.f64 #s(approx (- y x) (neg.f64 x))) |
| ✓ | 46.7% | #s(approx (sqrt (- y x)) (sqrt.f64 y)) |
Compiled 57 to 36 computations (36.8% saved)
| Inputs |
|---|
#s(approx (sqrt (- y x)) (sqrt.f64 y)) |
(sqrt.f64 #s(approx (- y x) (neg.f64 x))) |
(sqrt.f64 (-.f64 y x)) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) |
| Outputs |
|---|
(sqrt.f64 (-.f64 y x)) |
5 calls:
| 2.0ms | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
| 2.0ms | (fabs.f64 (-.f64 x y)) |
| 2.0ms | (-.f64 x y) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
| 100.0% | 1 | (fabs.f64 (-.f64 x y)) |
| 100.0% | 1 | (-.f64 x y) |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (sqrt (- y x)) (sqrt.f64 y)) |
(sqrt.f64 #s(approx (- y x) (neg.f64 x))) |
| Outputs |
|---|
(sqrt.f64 #s(approx (- y x) (neg.f64 x))) |
#s(approx (sqrt (- y x)) (sqrt.f64 y)) |
5 calls:
| 29.0ms | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
| 2.0ms | (fabs.f64 (-.f64 x y)) |
| 2.0ms | (-.f64 x y) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.9% | 2 | x |
| 83.9% | 2 | y |
| 61.5% | 5 | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
| 61.5% | 5 | (fabs.f64 (-.f64 x y)) |
| 61.5% | 5 | (-.f64 x y) |
Compiled 14 to 16 computations (-14.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (sqrt (- y x)) (sqrt.f64 y)) |
| Outputs |
|---|
#s(approx (sqrt (- y x)) (sqrt.f64 y)) |
5 calls:
| 1.0ms | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
| 1.0ms | (-.f64 x y) |
| 1.0ms | (fabs.f64 (-.f64 x y)) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.7% | 1 | (-.f64 x y) |
| 46.7% | 1 | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
| 46.7% | 1 | (fabs.f64 (-.f64 x y)) |
| 46.7% | 1 | x |
| 46.7% | 1 | y |
Compiled 14 to 16 computations (-14.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.3754900624398404e-53 | 9.281944835993734e-53 |
| 4.0ms | 96× | 0 | valid |
Compiled 92 to 94 computations (-2.2% saved)
ival-sub: 1.0ms (53.7% of total)ival-fabs: 1.0ms (53.7% of total)ival-sqrt: 1.0ms (53.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 29 |
| 1 | 19 | 29 |
| 2 | 25 | 29 |
| 3 | 39 | 29 |
| 4 | 58 | 29 |
| 5 | 71 | 29 |
| 6 | 85 | 29 |
| 7 | 88 | 29 |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (-.f64 y x)) |
(if (<=.f64 y #s(literal 7548785066802179/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #s(approx (sqrt (- y x)) (sqrt.f64 y))) |
#s(approx (sqrt (- y x)) (sqrt.f64 y)) |
| Outputs |
|---|
(sqrt.f64 (-.f64 y x)) |
(if (<=.f64 y #s(literal 7548785066802179/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #s(approx (sqrt (- y x)) (sqrt.f64 y))) |
#s(approx (sqrt (- y x)) (sqrt.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 12 |
| 0 | 8 | 11 |
| 1 | 32 | 11 |
| 2 | 230 | 10 |
| 3 | 3115 | 10 |
| 0 | 9634 | 10 |
| 0 | 189 | 800 |
| 0 | 621 | 762 |
| 1× | done |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 72 to 52 computations (27.8% saved)
Compiled 76 to 46 computations (39.5% saved)
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