
Time bar (total: 3.8s)
| 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 9 to 6 computations (33.3% saved)
| 526.0ms | 8 256× | 0 | valid |
ival-mult: 206.0ms (67.9% of total)ival-add: 88.0ms (29% of total)ival-true: 6.0ms (2% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 x y) (+.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 |
| 42.0ms | 512× | 0 | valid |
Compiled 35 to 16 computations (54.3% saved)
ival-add: 27.0ms (86.9% of total)ival-mult: 3.0ms (9.7% 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 | 12 | 45 |
| 1 | 49 | 45 |
| 2 | 194 | 41 |
| 3 | 684 | 39 |
| 4 | 1068 | 39 |
| 5 | 1714 | 35 |
| 6 | 2992 | 35 |
| 7 | 3766 | 35 |
| 8 | 4258 | 35 |
| 9 | 4370 | 35 |
| 10 | 4482 | 35 |
| 11 | 4482 | 35 |
| 12 | 4602 | 35 |
| 13 | 4782 | 35 |
| 14 | 4962 | 35 |
| 0 | 4 | 7 |
| 0 | 6 | 7 |
| 1 | 17 | 7 |
| 2 | 53 | 7 |
| 3 | 170 | 7 |
| 4 | 506 | 7 |
| 5 | 852 | 7 |
| 6 | 1525 | 7 |
| 7 | 2334 | 7 |
| 8 | 2779 | 7 |
| 9 | 3057 | 7 |
| 10 | 3181 | 7 |
| 11 | 3217 | 7 |
| 0 | 3217 | 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 y x) (+.f64 y x)) |
(sort x y)
Compiled 7 to 4 computations (42.9% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (+.f64 x y) (+.f64 x y)) |
Compiled 7 to 4 computations (42.9% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | 4 | 12 |
| 0 | 6 | 12 |
| 1 | 17 | 12 |
| 2 | 53 | 12 |
| 3 | 170 | 12 |
| 4 | 506 | 12 |
| 5 | 852 | 12 |
| 6 | 1525 | 12 |
| 7 | 2334 | 12 |
| 8 | 2779 | 12 |
| 9 | 3057 | 12 |
| 10 | 3181 | 12 |
| 11 | 3217 | 12 |
| 0 | 3217 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) (+.f64 x y)) |
(+.f64 x y) |
x |
y |
| Outputs |
|---|
(*.f64 (+.f64 x y) (+.f64 x y)) |
(*.f64 (+.f64 y x) (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.0078125 | (*.f64 (+.f64 x y) (+.f64 x y)) |
| 8.0ms | 256× | 0 | valid |
Compiled 14 to 6 computations (57.1% saved)
ival-mult: 2.0ms (60.2% of total)ival-add: 1.0ms (30.1% 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) |
| Outputs |
|---|
(pow y 2) |
(+ (* 2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
y |
(+ x y) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
x |
(* x (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ (* 2 (* x y)) (pow x 2)) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (/ x y))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((* (+ x y) (+ x y)) (+ x y)) |
| 0.0ms | x | @ | inf | ((* (+ x y) (+ x y)) (+ x y)) |
| 0.0ms | x | @ | -inf | ((* (+ x y) (+ x y)) (+ x y)) |
| 0.0ms | y | @ | inf | ((* (+ x y) (+ x y)) (+ x y)) |
| 0.0ms | x | @ | 0 | ((* (+ x y) (+ x y)) (+ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 179 |
| 1 | 218 | 169 |
| 2 | 725 | 161 |
| 3 | 3280 | 161 |
| 0 | 8199 | 147 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow y 2) |
(+ (* 2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
y |
(+ x y) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
x |
(* x (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ (* 2 (* x y)) (pow x 2)) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (/ x y))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(pow y 2) |
(*.f64 y y) |
(+ (* 2 (* x y)) (pow y 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) |
y |
(+ x y) |
(+.f64 y x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal -2 binary64))) x x) x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal -2 binary64))) x x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(+ (* 2 (* x y)) (pow x 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) |
(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 0 | 6 | 8 |
| 1 | 32 | 8 |
| 2 | 253 | 8 |
| 3 | 3131 | 8 |
| 0 | 9441 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) (+.f64 x y)) |
(+.f64 x y) |
| Outputs |
|---|
(*.f64 (fabs.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))))) (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (fabs.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (-.f64 y x)) |
(*.f64 (fabs.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)))) (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (fabs.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))))) (fabs.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 (fabs.f64 (+.f64 (neg.f64 y) x)) (fabs.f64 (-.f64 (neg.f64 y) x))) |
(*.f64 (fabs.f64 (+.f64 (neg.f64 x) y)) (fabs.f64 (-.f64 (neg.f64 x) y))) |
(*.f64 (fabs.f64 (+.f64 x (neg.f64 y))) (fabs.f64 (-.f64 x (neg.f64 y)))) |
(*.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 (-.f64 y (neg.f64 x)))) |
(*.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 2 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) |
(*.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 binary64)) (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 y x)) |
(*.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 binary64)) (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.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 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 binary64))) |
(*.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 2 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) |
(*.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 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 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 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(*.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)))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 y x)) |
(*.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))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(*.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)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (+.f64 (neg.f64 y) x) (-.f64 (neg.f64 y) x)) |
(*.f64 (+.f64 y (neg.f64 x)) (-.f64 y (neg.f64 x))) |
(*.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y)) |
(*.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y))) |
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 y x) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64))) |
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fabs.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))))) |
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fabs.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fabs.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)))))) |
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 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 binary64))) |
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 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 binary64))) |
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fabs.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)))))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fabs.f64 (/.f64 (-.f64 y x) (-.f64 y x)))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fabs.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (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 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 y x) (-.f64 y x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.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))))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 y x))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.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)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.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))))) |
(*.f64 (-.f64 y x) (fabs.f64 (-.f64 (neg.f64 y) (neg.f64 x)))) |
(*.f64 (-.f64 y x) (fabs.f64 (-.f64 x (neg.f64 y)))) |
(*.f64 (-.f64 y x) (fabs.f64 (-.f64 (neg.f64 x) (neg.f64 y)))) |
(*.f64 (-.f64 y x) (pow.f64 (-.f64 x (neg.f64 y)) #s(literal 1 binary64))) |
(*.f64 (-.f64 y x) (-.f64 x (neg.f64 y))) |
(*.f64 (-.f64 y x) (-.f64 (neg.f64 y) (neg.f64 x))) |
(*.f64 (-.f64 y x) (-.f64 (neg.f64 x) (neg.f64 y))) |
(*.f64 (-.f64 y x) (-.f64 y x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (-.f64 y x))) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (-.f64 y x) #s(literal 2 binary64)) |
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(/.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) |
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fabs.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 x)))))) |
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fabs.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y)))))) |
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (*.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)))))) |
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fabs.f64 (-.f64 (neg.f64 y) (neg.f64 x)))) |
(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fabs.f64 (-.f64 (neg.f64 x) (neg.f64 y)))) |
(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (neg.f64 y) (neg.f64 x))) |
(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (neg.f64 x) (neg.f64 y))) |
(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(neg.f64 (-.f64 y x)) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) x) |
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) x) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) y) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 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)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 y (/.f64 y (-.f64 y x)))) |
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 y x) (*.f64 y (/.f64 y (-.f64 y x)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 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)))) |
(fma.f64 (/.f64 (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)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 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)))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 y x)) (*.f64 y (/.f64 y (-.f64 y x)))) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(fma.f64 (*.f64 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 y (/.f64 (*.f64 y y) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(fma.f64 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)) (*.f64 y (/.f64 y (-.f64 y x)))) |
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(-.f64 (*.f64 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 y x) |
(-.f64 x y) |
(fabs.f64 (-.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))))) |
(fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 y x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))) |
(fabs.f64 (-.f64 y x)) |
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)) |
(hypot.f64 (neg.f64 (neg.f64 y)) x) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 y)) |
(hypot.f64 (neg.f64 (neg.f64 x)) y) |
(hypot.f64 (neg.f64 y) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 y) (neg.f64 x)) |
(hypot.f64 (neg.f64 y) x) |
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 y))) |
(hypot.f64 (neg.f64 x) (neg.f64 y)) |
(hypot.f64 (neg.f64 x) y) |
(hypot.f64 y (neg.f64 (neg.f64 x))) |
(hypot.f64 y (neg.f64 x)) |
(hypot.f64 y x) |
(hypot.f64 x (neg.f64 (neg.f64 y))) |
(hypot.f64 x (neg.f64 y)) |
(hypot.f64 x y) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (-.f64 y x))) |
(+.f64 (cosh.f64 (log.f64 (-.f64 y x))) (sinh.f64 (log.f64 (-.f64 y x)))) |
(+.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (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 (-.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 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x)))) |
(+.f64 (neg.f64 y) (neg.f64 x)) |
(+.f64 (neg.f64 x) (neg.f64 y)) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 16 595 to 1 409 computations (91.5% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 714 | 4 | 718 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 714 | 5 | 719 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (+.f64 x y) (+.f64 x y)) |
| ▶ | 88.4% | #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y)) |
| ▶ | 66.0% | #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) |
| ▶ | 54.3% | #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
| ▶ | 64.3% | #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
Compiled 65 to 35 computations (46.2% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) | |
| cost-diff | 0 | #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y)) | |
| cost-diff | 3 | (*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y) | |
| cost-diff | 4 | (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) | |
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) y x) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 2 binary64) y x) x) | |
| cost-diff | 0 | #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 125 |
| 0 | 30 | 125 |
| 1 | 65 | 125 |
| 2 | 173 | 125 |
| 3 | 512 | 122 |
| 4 | 1161 | 116 |
| 5 | 2954 | 108 |
| 6 | 5666 | 108 |
| 0 | 8150 | 107 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
(*.f64 y y) |
y |
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(fma.f64 #s(literal 2 binary64) y x) |
#s(literal 2 binary64) |
y |
x |
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y)) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y) |
(fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) |
(*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) |
(/.f64 x y) |
x |
y |
(-.f64 (/.f64 x y) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
(*.f64 y y) |
y |
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(fma.f64 #s(literal 2 binary64) y x) |
#s(literal 2 binary64) |
y |
x |
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y)) |
#s(approx (* (+ x y) (+ x y)) (*.f64 (+.f64 y x) (+.f64 y x))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y) |
(*.f64 (+.f64 y x) (+.f64 y x)) |
(fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y) |
(*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) y) x) |
(/.f64 x y) |
x |
y |
(-.f64 (/.f64 x y) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 (/.f64 x y) #s(literal -2 binary64)) | |
| accuracy | 0.17025375976844204 | (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) | |
| accuracy | 3.3099006180949933 | (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) | |
| accuracy | 3.999758905264941 | (*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y) | |
| accuracy | 0.0 | (fma.f64 #s(literal 2 binary64) y x) | |
| accuracy | 0.0078125 | (*.f64 (fma.f64 #s(literal 2 binary64) y x) x) | |
| accuracy | 21.757002877256085 | #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 29.25231635726599 | #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 22.857711047199516 | #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
| 30.0ms | 256× | 0 | valid |
Compiled 101 to 19 computations (81.2% saved)
ival-mult: 12.0ms (60.4% of total)ival-add: 4.0ms (20.1% of total)ival-div: 2.0ms (10.1% of total)ival-sub: 1.0ms (5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
(*.f64 y y) |
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(fma.f64 #s(literal 2 binary64) y x) |
(fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y) |
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y)) |
(*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) |
(-.f64 (/.f64 x y) #s(literal -2 binary64)) |
| Outputs |
|---|
(pow y 2) |
(+ (* 2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
(pow x 2) |
(* 2 (* x y)) |
(* x (+ x (* 2 y))) |
(* 2 y) |
(+ x (* 2 y)) |
y |
(+ y (* 2 x)) |
(+ y (* x (+ 2 (/ x y)))) |
(* 2 (/ x y)) |
(* x (+ (* 2 (/ 1 y)) (/ x (pow y 2)))) |
2 |
(+ 2 (/ x y)) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
x |
(* x (+ 1 (* 2 (/ y x)))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* 2 (/ 1 x)) (/ 1 y))) |
(* (pow x 2) (+ (* 2 (/ 1 x)) (+ (/ 1 y) (/ y (pow x 2))))) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* 2 (/ 1 (* x y))) (/ 1 (pow y 2)))) |
(/ x y) |
(* x (+ (* 2 (/ 1 x)) (/ 1 y))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(* -1 (* x (- (* -2 (/ y x)) 1))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ y x)) 2) x)) (/ 1 y))) |
(+ (* 2 (* x y)) (pow x 2)) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
(/ (+ (* 2 (* x y)) (pow x 2)) y) |
(/ (+ (* y (+ y (* 2 x))) (pow x 2)) y) |
(/ (+ (* 2 (* x y)) (pow x 2)) (pow y 2)) |
(/ (+ x (* 2 y)) y) |
(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(* y (+ (* 2 x) (/ (pow x 2) y))) |
(* y (+ 2 (/ x y))) |
(* y (+ 1 (* 2 (/ x y)))) |
(* y (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(/ (+ (* 2 x) (/ (pow x 2) y)) y) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (- (* -1 (/ x y)) 2))) |
(* -1 (* y (- (* -2 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ (* 2 x) (/ (pow x 2) y)) y)) 1))) |
(* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | ((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x) (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (* (+ (* (* (/ x y) (- (/ x y) -2)) y) y) y) (* (+ x y) (+ x y)) (* (/ x y) (- (/ x y) -2)) (- (/ x y) -2)) |
| 2.0ms | x | @ | -inf | ((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x) (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (* (+ (* (* (/ x y) (- (/ x y) -2)) y) y) y) (* (+ x y) (+ x y)) (* (/ x y) (- (/ x y) -2)) (- (/ x y) -2)) |
| 2.0ms | x | @ | 0 | ((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x) (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (* (+ (* (* (/ x y) (- (/ x y) -2)) y) y) y) (* (+ x y) (+ x y)) (* (/ x y) (- (/ x y) -2)) (- (/ x y) -2)) |
| 2.0ms | y | @ | -inf | ((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x) (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (* (+ (* (* (/ x y) (- (/ x y) -2)) y) y) y) (* (+ x y) (+ x y)) (* (/ x y) (- (/ x y) -2)) (- (/ x y) -2)) |
| 2.0ms | x | @ | inf | ((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x) (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (* (+ (* (* (/ x y) (- (/ x y) -2)) y) y) y) (* (+ x y) (+ x y)) (* (/ x y) (- (/ x y) -2)) (- (/ x y) -2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 392 |
| 1 | 386 | 376 |
| 2 | 1348 | 357 |
| 3 | 6412 | 357 |
| 0 | 8780 | 330 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow y 2) |
(+ (* 2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
(pow x 2) |
(* 2 (* x y)) |
(* x (+ x (* 2 y))) |
(* 2 y) |
(+ x (* 2 y)) |
y |
(+ y (* 2 x)) |
(+ y (* x (+ 2 (/ x y)))) |
(* 2 (/ x y)) |
(* x (+ (* 2 (/ 1 y)) (/ x (pow y 2)))) |
2 |
(+ 2 (/ x y)) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
x |
(* x (+ 1 (* 2 (/ y x)))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* 2 (/ 1 x)) (/ 1 y))) |
(* (pow x 2) (+ (* 2 (/ 1 x)) (+ (/ 1 y) (/ y (pow x 2))))) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* 2 (/ 1 (* x y))) (/ 1 (pow y 2)))) |
(/ x y) |
(* x (+ (* 2 (/ 1 x)) (/ 1 y))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(* -1 (* x (- (* -2 (/ y x)) 1))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ y x)) 2) x)) (/ 1 y))) |
(+ (* 2 (* x y)) (pow x 2)) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
(/ (+ (* 2 (* x y)) (pow x 2)) y) |
(/ (+ (* y (+ y (* 2 x))) (pow x 2)) y) |
(/ (+ (* 2 (* x y)) (pow x 2)) (pow y 2)) |
(/ (+ x (* 2 y)) y) |
(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(* y (+ (* 2 x) (/ (pow x 2) y))) |
(* y (+ 2 (/ x y))) |
(* y (+ 1 (* 2 (/ x y)))) |
(* y (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(/ (+ (* 2 x) (/ (pow x 2) y)) y) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (- (* -1 (/ x y)) 2))) |
(* -1 (* y (- (* -2 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ (* 2 x) (/ (pow x 2) y)) y)) 1))) |
(* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)) |
| Outputs |
|---|
(pow y 2) |
(*.f64 y y) |
(+ (* 2 (* x y)) (pow y 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* x (+ x (* 2 y))) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(+ x (* 2 y)) |
(fma.f64 #s(literal 2 binary64) y x) |
y |
(+ y (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x y) |
(+ y (* x (+ 2 (/ x y)))) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y) |
(* 2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 2 binary64)) |
(* x (+ (* 2 (/ 1 y)) (/ x (pow y 2)))) |
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) y) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (/ x y)) |
(-.f64 (/.f64 x y) #s(literal -2 binary64)) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) x) x (*.f64 x x)) |
x |
(* x (+ 1 (* 2 (/ y x)))) |
(fma.f64 #s(literal 2 binary64) y x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* (pow x 2) (+ (* 2 (/ 1 x)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) |
(* (pow x 2) (+ (* 2 (/ 1 x)) (+ (/ 1 y) (/ y (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 y x) x) x (-.f64 (/.f64 x y) #s(literal -2 binary64))) x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(* (pow x 2) (+ (* 2 (/ 1 (* x y))) (/ 1 (pow y 2)))) |
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) y) x) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* 2 (/ 1 x)) (/ 1 y))) |
(-.f64 (/.f64 x y) #s(literal -2 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) x) x (*.f64 x x)) |
(* -1 (* x (- (* -2 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ y x)) 2) x)) (/ 1 y))) |
(fma.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 2 binary64))) x (*.f64 (/.f64 x y) x)) |
(+ (* 2 (* x y)) (pow x 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) |
(/ (+ (* 2 (* x y)) (pow x 2)) y) |
(*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) |
(/ (+ (* y (+ y (* 2 x))) (pow x 2)) y) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y) |
(/ (+ (* 2 (* x y)) (pow x 2)) (pow y 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) y) x) |
(/ (+ x (* 2 y)) y) |
(-.f64 (/.f64 x y) #s(literal -2 binary64)) |
(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) |
(* y (+ (* 2 x) (/ (pow x 2) y))) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(* y (+ 2 (/ x y))) |
(fma.f64 #s(literal 2 binary64) y x) |
(* y (+ 1 (* 2 (/ x y)))) |
(fma.f64 #s(literal 2 binary64) x y) |
(* y (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y) |
(/ (+ (* 2 x) (/ (pow x 2) y)) y) |
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) y) x) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) |
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(* -1 (* y (- (* -1 (/ x y)) 2))) |
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -2 binary64))) |
(* -1 (* y (- (* -2 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1 (/ (+ (* 2 x) (/ (pow x 2) y)) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 x y) (-.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) |
(* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)) |
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 114 |
| 0 | 30 | 106 |
| 1 | 114 | 106 |
| 2 | 853 | 106 |
| 0 | 8311 | 106 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
(*.f64 y y) |
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(fma.f64 #s(literal 2 binary64) y x) |
(fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y) |
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y)) |
(*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) |
(-.f64 (/.f64 x y) #s(literal -2 binary64)) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (neg.f64 x))) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) (neg.f64 (neg.f64 x)))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
#s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (neg.f64 (neg.f64 y)) y) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y (neg.f64 (neg.f64 y))) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) (neg.f64 (neg.f64 y)))) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(*.f64 x (fma.f64 #s(literal 2 binary64) y x)) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 x x))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 x) x)) x)) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 x) x)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 x) x)) x) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(/.f64 (*.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(fma.f64 (neg.f64 (neg.f64 x)) x (*.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (*.f64 x x)) |
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (*.f64 x x)) |
(fma.f64 (+.f64 y x) x (*.f64 y x)) |
(fma.f64 y (*.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(fma.f64 y x (*.f64 (+.f64 y x) x)) |
(fma.f64 x (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))) (*.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))))) |
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (*.f64 x x)) |
(fma.f64 x (+.f64 y x) (*.f64 y x)) |
(fma.f64 x y (*.f64 (+.f64 y x) x)) |
(fma.f64 x x (*.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 (neg.f64 x) (neg.f64 (neg.f64 x)))) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 y x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) y) x)) |
(+.f64 (*.f64 x (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))) (*.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))))) |
(+.f64 (*.f64 (+.f64 y x) x) (*.f64 y x)) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 y x) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) y) x)))) (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) y) x)))) |
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(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (-.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 x y))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 x y)))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 x y))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 x y))))) (+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 x y))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal -8 binary64) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal -8 binary64) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal -8 binary64) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 x y))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 x y))) (fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 x y))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 x y))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 x y))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 x y))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -8 binary64) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -8 binary64) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal -8 binary64) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal -8 binary64) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (/.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 x y))) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 x y)) (+.f64 #s(literal -2 binary64) (/.f64 x y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -8 binary64))) (*.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (+.f64 #s(literal -2 binary64) (/.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 x y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64)) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal -2 binary64) (/.f64 x y)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (+.f64 #s(literal -2 binary64) (/.f64 x y))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 x y))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 x y)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal -8 binary64) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 x y) #s(literal -2 binary64)) |
Compiled 11 035 to 1 353 computations (87.7% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 321 | 1 | 322 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 1 | 1 |
| Total | 322 | 5 | 327 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (+.f64 x y) (+.f64 x y)) |
| ✓ | 66.0% | #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) |
| ▶ | 93.7% | #s(approx (* (+ x y) (+ x y)) (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y)) |
| ✓ | 54.3% | #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
| ✓ | 64.3% | #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
Compiled 75 to 41 computations (45.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y) | |
| cost-diff | 0 | #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y) | |
| cost-diff | 0 | #s(approx (* (+ x y) (+ x y)) (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 97 |
| 0 | 22 | 97 |
| 1 | 46 | 97 |
| 2 | 114 | 97 |
| 3 | 310 | 91 |
| 4 | 809 | 82 |
| 5 | 1522 | 82 |
| 6 | 3184 | 82 |
| 7 | 5239 | 82 |
| 8 | 7207 | 82 |
| 0 | 8054 | 82 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ x y) (+ x y)) (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y)) |
(*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y) |
#s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y) |
(-.f64 (/.f64 x y) #s(literal -2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal -2 binary64) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ x y)) (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y)) |
(*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y) |
#s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y) |
(-.f64 (/.f64 x y) #s(literal -2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal -2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (* (+ x y) (+ x y)) (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y)) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 x y) #s(literal -2 binary64)) | |
| accuracy | 0.1015625 | (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y) | |
| accuracy | 3.999758905264941 | (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y) |
| 40.0ms | 256× | 0 | valid |
Compiled 57 to 15 computations (73.7% saved)
ival-add: 9.0ms (44.2% of total)ival-mult: 7.0ms (34.4% of total)ival-div: 2.0ms (9.8% of total)ival-sub: 1.0ms (4.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (+ x y) (+ x y)) (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y)) |
(*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y) |
#s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y) |
(-.f64 (/.f64 x y) #s(literal -2 binary64)) |
| Outputs |
|---|
(pow y 2) |
(+ (* 2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
y |
(+ y (* 2 x)) |
(+ y (* x (+ 2 (/ x y)))) |
2 |
(+ 2 (/ x y)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* 2 (/ 1 x)) (/ 1 y))) |
(* (pow x 2) (+ (* 2 (/ 1 x)) (+ (/ 1 y) (/ y (pow x 2))))) |
(/ x y) |
(* x (+ (* 2 (/ 1 x)) (/ 1 y))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ y x)) 2) x)) (/ 1 y))) |
(+ (* 2 (* x y)) (pow x 2)) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
(/ (+ (* 2 (* x y)) (pow x 2)) y) |
(/ (+ (* y (+ y (* 2 x))) (pow x 2)) y) |
(/ (+ x (* 2 y)) y) |
(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (* 2 (/ x y)))) |
(* y (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(* -1 (* y (- (* -2 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ (* 2 x) (/ (pow x 2) y)) y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((* (+ x y) (+ x y)) (* (+ (* (* (/ x y) (- (/ x y) -2)) y) y) y) (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (+ (* (- (/ x y) -2) x) y) (- (/ x y) -2)) |
| 0.0ms | x | @ | -inf | ((* (+ x y) (+ x y)) (* (+ (* (* (/ x y) (- (/ x y) -2)) y) y) y) (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (+ (* (- (/ x y) -2) x) y) (- (/ x y) -2)) |
| 0.0ms | y | @ | -inf | ((* (+ x y) (+ x y)) (* (+ (* (* (/ x y) (- (/ x y) -2)) y) y) y) (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (+ (* (- (/ x y) -2) x) y) (- (/ x y) -2)) |
| 0.0ms | x | @ | 0 | ((* (+ x y) (+ x y)) (* (+ (* (* (/ x y) (- (/ x y) -2)) y) y) y) (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (+ (* (- (/ x y) -2) x) y) (- (/ x y) -2)) |
| 0.0ms | y | @ | inf | ((* (+ x y) (+ x y)) (* (+ (* (* (/ x y) (- (/ x y) -2)) y) y) y) (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (+ (* (- (/ x y) -2) x) y) (- (/ x y) -2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 269 |
| 1 | 296 | 263 |
| 2 | 1063 | 236 |
| 3 | 5304 | 234 |
| 0 | 8186 | 215 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow y 2) |
(+ (* 2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
y |
(+ y (* 2 x)) |
(+ y (* x (+ 2 (/ x y)))) |
2 |
(+ 2 (/ x y)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* 2 (/ 1 x)) (/ 1 y))) |
(* (pow x 2) (+ (* 2 (/ 1 x)) (+ (/ 1 y) (/ y (pow x 2))))) |
(/ x y) |
(* x (+ (* 2 (/ 1 x)) (/ 1 y))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ y x)) 2) x)) (/ 1 y))) |
(+ (* 2 (* x y)) (pow x 2)) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
(/ (+ (* 2 (* x y)) (pow x 2)) y) |
(/ (+ (* y (+ y (* 2 x))) (pow x 2)) y) |
(/ (+ x (* 2 y)) y) |
(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (* 2 (/ x y)))) |
(* y (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(* -1 (* y (- (* -2 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ (* 2 x) (/ (pow x 2) y)) y)) 1))) |
| Outputs |
|---|
(pow y 2) |
(*.f64 y y) |
(+ (* 2 (* x y)) (pow y 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) |
y |
(+ y (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x y) |
(+ y (* x (+ 2 (/ x y)))) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y) |
2 |
#s(literal 2 binary64) |
(+ 2 (/ x y)) |
(-.f64 (/.f64 x y) #s(literal -2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) x) x (*.f64 x x)) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* (pow x 2) (+ (* 2 (/ 1 x)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) |
(* (pow x 2) (+ (* 2 (/ 1 x)) (+ (/ 1 y) (/ y (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 y x) x) x (-.f64 (/.f64 x y) #s(literal -2 binary64))) x) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* 2 (/ 1 x)) (/ 1 y))) |
(-.f64 (/.f64 x y) #s(literal -2 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) x) x (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ y x)) 2) x)) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 (/.f64 y x) x) x (-.f64 (/.f64 x y) #s(literal -2 binary64))) x) |
(+ (* 2 (* x y)) (pow x 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) |
(/ (+ (* 2 (* x y)) (pow x 2)) y) |
(*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) |
(/ (+ (* y (+ y (* 2 x))) (pow x 2)) y) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y) |
(/ (+ x (* 2 y)) y) |
(-.f64 (/.f64 x y) #s(literal -2 binary64)) |
(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) |
(* y (+ 1 (* 2 (/ x y)))) |
(fma.f64 #s(literal 2 binary64) x y) |
(* y (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) |
(* -1 (* y (- (* -2 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1 (/ (+ (* 2 x) (/ (pow x 2) y)) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 91 |
| 0 | 22 | 89 |
| 1 | 98 | 89 |
| 2 | 719 | 89 |
| 0 | 8863 | 86 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ x y) (+ x y)) (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y)) |
(*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y) |
#s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y) |
(-.f64 (/.f64 x y) #s(literal -2 binary64)) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ x y)) (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y)) |
(*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y) |
(*.f64 y #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y))) |
#s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)) (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)))) (+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)) (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)) (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (-.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 y y (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (*.f64 y (*.f64 (neg.f64 x) (-.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)) (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64))) (*.f64 (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64))) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64))) (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (*.f64 y y)) (neg.f64 (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))))) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y) |
(fma.f64 x (-.f64 (/.f64 x y) #s(literal -2 binary64)) y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x))) (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y))) |
(-.f64 y (*.f64 (neg.f64 x) (-.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)))) (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64)) (fma.f64 y y (*.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64)) (fma.f64 y y (*.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y))) |
(+.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y) |
(+.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal -2 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 x y) #s(literal -2 binary64))))) (+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))) (+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal -2 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (+.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 x y) #s(literal -2 binary64)) (+.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal -8 binary64))) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (+.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (/.f64 x y) #s(literal -2 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(neg.f64 (neg.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 x y) #s(literal -2 binary64)) |
Compiled 3 994 to 407 computations (89.8% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 68 | 0 | 68 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 68 | 5 | 73 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (+.f64 x y) (+.f64 x y)) |
| ✓ | 66.0% | #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) |
| ✓ | 93.7% | #s(approx (* (+ x y) (+ x y)) (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y)) |
| ✓ | 54.3% | #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
| ✓ | 64.3% | #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
Compiled 172 to 72 computations (58.1% saved)
| Inputs |
|---|
#s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
#s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) |
(*.f64 (+.f64 x y) (+.f64 x y)) |
#s(approx (* (+ x y) (+ x y)) (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y)) |
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (+.f64 x y)) |
4 calls:
| 7.0ms | (*.f64 (+.f64 x y) (+.f64 x y)) |
| 2.0ms | y |
| 2.0ms | (+.f64 x y) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 x y) |
| 100.0% | 1 | (*.f64 (+.f64 x y) (+.f64 x y)) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
#s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
#s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) |
#s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
4 calls:
| 2.0ms | y |
| 2.0ms | (+.f64 x y) |
| 1.0ms | x |
| 1.0ms | (*.f64 (+.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | (+.f64 x y) |
| 66.0% | 1 | (*.f64 (+.f64 x y) (+.f64 x y)) |
| 90.9% | 2 | x |
| 88.6% | 2 | y |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
#s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
#s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
#s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
1 calls:
| 1.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | (+.f64 x y) |
Compiled 3 to 3 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
4 calls:
| 1.0ms | x |
| 1.0ms | (+.f64 x y) |
| 1.0ms | y |
| 1.0ms | (*.f64 (+.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.3% | 1 | (*.f64 (+.f64 x y) (+.f64 x y)) |
| 64.3% | 1 | y |
| 64.3% | 1 | x |
| 64.3% | 1 | (+.f64 x y) |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.6653091322139837e-153 | -6.337575315718335e-164 |
Compiled 8 to 9 computations (-12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.6653091322139837e-153 | -6.337575315718335e-164 |
Compiled 8 to 9 computations (-12.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 77 |
| 1 | 31 | 77 |
| 2 | 69 | 77 |
| 3 | 189 | 77 |
| 4 | 530 | 77 |
| 5 | 897 | 77 |
| 6 | 1728 | 77 |
| 7 | 4170 | 77 |
| 8 | 6292 | 77 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) (+.f64 x y)) |
(if (<=.f64 (+.f64 x y) #s(literal -7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) #s(approx (* (+ x y) (+ x y)) (*.f64 y y))) |
(if (<=.f64 (+.f64 x y) #s(literal -7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(approx (* (+ x y) (+ x y)) (*.f64 y y))) |
#s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (+.f64 x y)) |
(if (<=.f64 (+.f64 x y) #s(literal -7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) #s(approx (* (+ x y) (+ x y)) (*.f64 y y))) |
(if (<=.f64 (+.f64 x y) #s(literal -7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(approx (* (+ x y) (+ x y)) (*.f64 y y))) |
#s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 179 |
| 1 | 218 | 169 |
| 2 | 725 | 161 |
| 3 | 3280 | 161 |
| 0 | 8199 | 147 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
Compiled 77 to 18 computations (76.6% saved)
(sort x y)
Compiled 222 to 78 computations (64.9% saved)
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