Examples.Basics.BasicTests:f3 from sbv-4.4
Time bar (total: 3.9s)
| 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)
| 278.0ms | 8 256× | 0 | valid |
ival-mult: 70.0ms (54.9% of total)ival-add: 48.0ms (37.7% of total)ival-true: 6.0ms (4.7% of total)ival-assert: 3.0ms (2.4% 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 |
| 19.0ms | 512× | 0 | valid |
Compiled 47 to 20 computations (57.4% saved)
ival-add: 3.0ms (44.7% of total)ival-mult: 3.0ms (44.7% 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 | 0.00390625 | (*.f64 (+.f64 x y) (+.f64 x y)) |
| 57.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% 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 | |
|---|---|---|---|---|
| 0.0ms | 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)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 715 | 3 | 718 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 715 | 4 | 719 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (+.f64 x y) (+.f64 x y)) |
| ▶ | 100.0% | #s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))) |
| ▶ | 60.1% | #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
| ▶ | 52.7% | #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
Compiled 46 to 25 computations (45.7% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) x y) | |
| cost-diff | 0 | #s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))) | |
| cost-diff | 2 | (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 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: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 66 |
| 0 | 18 | 66 |
| 1 | 46 | 66 |
| 2 | 132 | 62 |
| 3 | 389 | 62 |
| 4 | 743 | 62 |
| 5 | 1073 | 62 |
| 6 | 1569 | 62 |
| 7 | 2205 | 62 |
| 8 | 2630 | 62 |
| 9 | 2874 | 62 |
| 10 | 3006 | 62 |
| 0 | 3006 | 62 |
| 1× | iter limit |
| 1× | saturated |
| 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)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) |
(fma.f64 #s(literal 2 binary64) x y) |
#s(literal 2 binary64) |
x |
y |
(*.f64 x x) |
| 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)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))) |
#s(approx (* (+ x y) (+ x y)) (*.f64 (+.f64 y x) (+.f64 y x))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) |
(*.f64 (+.f64 y x) (+.f64 y x)) |
(fma.f64 #s(literal 2 binary64) x y) |
#s(literal 2 binary64) |
x |
y |
(*.f64 x x) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) | |
| accuracy | 0.0 | (fma.f64 #s(literal 2 binary64) x y) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | #s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 25.545015070389333 | #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 30.292526125958712 | #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
| 19.0ms | 256× | 0 | valid |
Compiled 119 to 25 computations (79% saved)
ival-mult: 7.0ms (62.9% of total)ival-add: 4.0ms (36% 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) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) |
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))) |
(fma.f64 #s(literal 2 binary64) x y) |
| Outputs |
|---|
(pow y 2) |
(+ (* 2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
(pow x 2) |
y |
(+ y (* 2 x)) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(* 2 x) |
(* x (+ 2 (/ y x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ y x)) 2))) |
(+ (* 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 (* 2 (/ x y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(* -1 (* y (- (* -2 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | 0 | ((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (+ (* (+ (* 2 x) y) y) (* x x)) (* (+ x y) (+ x y)) (+ (* 2 x) y)) |
| 1.0ms | y | @ | 0 | ((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (+ (* (+ (* 2 x) y) y) (* x x)) (* (+ x y) (+ x y)) (+ (* 2 x) y)) |
| 1.0ms | y | @ | -inf | ((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (+ (* (+ (* 2 x) y) y) (* x x)) (* (+ x y) (+ x y)) (+ (* 2 x) y)) |
| 1.0ms | x | @ | inf | ((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (+ (* (+ (* 2 x) y) y) (* x x)) (* (+ x y) (+ x y)) (+ (* 2 x) y)) |
| 1.0ms | x | @ | -inf | ((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (+ (* (+ (* 2 x) y) y) (* x x)) (* (+ x y) (+ x y)) (+ (* 2 x) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 186 |
| 1 | 211 | 176 |
| 2 | 728 | 168 |
| 3 | 3409 | 160 |
| 0 | 8172 | 150 |
| 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) |
y |
(+ y (* 2 x)) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(* 2 x) |
(* x (+ 2 (/ y x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ y x)) 2))) |
(+ (* 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 (* 2 (/ x y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(* -1 (* y (- (* -2 (/ 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)) |
(*.f64 (+.f64 y x) (+.f64 y x)) |
(pow x 2) |
(*.f64 x x) |
y |
(+ y (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x y) |
(* (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 (*.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (/ y x))) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) x) |
(* -1 (* x (- (* -1 (/ y x)) 2))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 2 binary64))) |
(+ (* 2 (* x y)) (pow x 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
(*.f64 (+.f64 y x) (+.f64 y 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 (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) y) y) |
(* y (+ 1 (* 2 (/ x y)))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 1 binary64)) y) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) y) y) |
(* -1 (* y (- (* -2 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 58 |
| 0 | 18 | 52 |
| 1 | 82 | 52 |
| 2 | 681 | 44 |
| 0 | 9156 | 44 |
| 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) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) |
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))) |
(fma.f64 #s(literal 2 binary64) x y) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.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) 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 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.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) 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)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y 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 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (-.f64 y x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y 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 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (-.f64 y x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -2 binary64) x y))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (*.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y)) #s(literal 3 binary64))))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 4 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -2 binary64) x y))) (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -2 binary64) x y))) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (log.f64 (+.f64 y x))) (exp.f64 (log.f64 (+.f64 y x)))) |
(*.f64 (neg.f64 (+.f64 y x)) (neg.f64 (+.f64 y x))) |
(*.f64 (+.f64 y x) (-.f64 x (neg.f64 y))) |
(*.f64 (+.f64 y x) (+.f64 y x)) |
(pow.f64 (exp.f64 (log.f64 (+.f64 y x))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (+.f64 y x)) #s(literal 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)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (+.f64 y x))) (-.f64 x y)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 y x))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x))) (+.f64 y x)) (fabs.f64 (-.f64 y x))) |
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 y x)) (fabs.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) (+.f64 y x)) (-.f64 y x)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 y x)) (neg.f64 (-.f64 x y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 y x)) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 y x) (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)))) (fabs.f64 (-.f64 y x))) |
(/.f64 (*.f64 (+.f64 y x) (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 (neg.f64 x) x))) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 y x) (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 (-.f64 x y))) |
(/.f64 (*.f64 (+.f64 y x) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 x y)) |
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (+.f64 y x))) (neg.f64 (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (+.f64 y x))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) x y) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) x y) y (*.f64 (neg.f64 x) x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y (*.f64 x x))))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)))))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64))) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) x y) y (*.f64 (neg.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) x y) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) x y) y (*.f64 (neg.f64 x) x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y (*.f64 x x))) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) x y) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y (*.f64 x x))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (+.f64 y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 y x) x) (*.f64 (neg.f64 y) (+.f64 y x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x y) y) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) x))))) |
(/.f64 (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 x y) (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) x))) (-.f64 x y)) |
(/.f64 (fma.f64 y (-.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))) x)) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (fma.f64 (+.f64 y x) (*.f64 (-.f64 x y) y) (*.f64 (*.f64 (+.f64 y x) x) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 (+.f64 y x) x) (-.f64 x y) (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y))) (-.f64 x y)) |
(/.f64 (fma.f64 x (-.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))) y)) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (fma.f64 (+.f64 y x) (*.f64 (-.f64 x y) x) (*.f64 (*.f64 (+.f64 y x) y) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 y x))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 x y)))) (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) x)))))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
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(/.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal 2 binary64)))) |
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(+.f64 (+.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -2 binary64) x (*.f64 (*.f64 #s(literal -2 binary64) x) y)))) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 y y (fma.f64 #s(literal -2 binary64) x (*.f64 (*.f64 #s(literal -2 binary64) x) y))))) |
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 y y (fma.f64 #s(literal -2 binary64) x (*.f64 (*.f64 #s(literal -2 binary64) x) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -2 binary64) x (*.f64 (*.f64 #s(literal -2 binary64) x) y))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) x)) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) x (*.f64 (fma.f64 #s(literal -2 binary64) x y) y))) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x (*.f64 (fma.f64 #s(literal -2 binary64) x y) y)))) |
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x (*.f64 (fma.f64 #s(literal -2 binary64) x y) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) x (*.f64 (fma.f64 #s(literal -2 binary64) x y) y)))) |
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (*.f64 #s(literal -2 binary64) x) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 #s(literal -2 binary64) x) y))) |
(+.f64 (*.f64 #s(literal -2 binary64) x) y) |
(+.f64 (+.f64 y x) x) |
(+.f64 y (*.f64 #s(literal -2 binary64) x)) |
(+.f64 x (+.f64 y x)) |
Compiled 15 032 to 1 604 computations (89.3% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 462 | 1 | 463 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 1 | 1 |
| Total | 463 | 4 | 467 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (+.f64 x y) (+.f64 x y)) |
| ▶ | 55.5% | #s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x))) |
| ✓ | 60.1% | #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
| ✓ | 52.7% | #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
Compiled 51 to 29 computations (43.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 54 |
| 0 | 16 | 54 |
| 1 | 40 | 54 |
| 2 | 109 | 54 |
| 3 | 275 | 54 |
| 4 | 592 | 54 |
| 5 | 898 | 54 |
| 6 | 1512 | 54 |
| 7 | 2314 | 54 |
| 8 | 2771 | 54 |
| 9 | 3015 | 54 |
| 10 | 3147 | 54 |
| 0 | 3147 | 51 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x))) |
(fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x)) |
#s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
y |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x))) |
(fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x)) |
#s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
y |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.0 | #s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x))) | |
| accuracy | 33.75715232086045 | #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) |
| 23.0ms | 256× | 0 | valid |
Compiled 88 to 25 computations (71.6% saved)
ival-mult: 6.0ms (59.4% of total)ival-add: 4.0ms (39.6% 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)) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x))) |
(fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x)) |
#s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x x) |
| Outputs |
|---|
(pow y 2) |
(+ (* 2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
y |
(+ y (* 2 x)) |
(* 2 x) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(* x (+ 2 (/ y x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ y x)) 2))) |
(+ (* 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 (* 2 (/ x y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(* -1 (* y (- (* -2 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | y | @ | 0 | ((* (+ x y) (+ x y)) (+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) (* 2 x) (* x x)) |
| 1.0ms | x | @ | -inf | ((* (+ x y) (+ x y)) (+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) (* 2 x) (* x x)) |
| 1.0ms | x | @ | inf | ((* (+ x y) (+ x y)) (+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) (* 2 x) (* x x)) |
| 0.0ms | x | @ | 0 | ((* (+ x y) (+ x y)) (+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) (* 2 x) (* x x)) |
| 0.0ms | y | @ | inf | ((* (+ x y) (+ x y)) (+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) (* 2 x) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 186 |
| 1 | 211 | 176 |
| 2 | 726 | 168 |
| 3 | 3398 | 160 |
| 0 | 8182 | 150 |
| 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)) |
(* 2 x) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(* x (+ 2 (/ y x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ y x)) 2))) |
(+ (* 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 (* 2 (/ x y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(* -1 (* y (- (* -2 (/ 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)) |
(*.f64 (+.f64 y x) (+.f64 y x)) |
y |
(+ y (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x y) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) 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 (+ 2 (/ y x))) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) 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)) 2))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 2 binary64))) |
(+ (* 2 (* x y)) (pow x 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
(*.f64 (+.f64 y x) (+.f64 y 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 (* 2 (/ x y)))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 1 binary64)) 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 (- (* -2 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 51 |
| 0 | 16 | 49 |
| 1 | 76 | 49 |
| 2 | 617 | 49 |
| 3 | 7862 | 49 |
| 0 | 8076 | 46 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x))) |
(fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x)) |
#s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) (*.f64 y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y (*.f64 x x)) (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (*.f64 (neg.f64 y) #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) (*.f64 y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) (*.f64 y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y (*.f64 x x)) (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y (*.f64 x x)) (fma.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y (*.f64 x x)) (/.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y (*.f64 (neg.f64 x) x)) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y (*.f64 (neg.f64 x) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y (*.f64 (neg.f64 x) x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) (*.f64 x x))))) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y (*.f64 x x))) |
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(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 y) #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) |
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(/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (fabs.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) |
(neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 x) x))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 4 binary64))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) x (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 8 binary64) x) (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x x)) |
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 9 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 512 binary64) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 4 binary64) x (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (*.f64 (neg.f64 x) x) (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) x) x (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) x (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (neg.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (*.f64 x x) (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (*.f64 x x) x (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 x #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 x #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 x (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 x (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 x (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 x x (*.f64 x x)) |
(sqrt.f64 (*.f64 #s(literal -2 binary64) x)) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(-.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) x))) |
(-.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) |
(fabs.f64 (*.f64 #s(literal -2 binary64) x)) |
(hypot.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64))) |
(hypot.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(hypot.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64))) |
(hypot.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(hypot.f64 (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64))) |
(hypot.f64 (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(hypot.f64 (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(hypot.f64 (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))) |
(hypot.f64 (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(hypot.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(hypot.f64 (pow.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 x))) |
(hypot.f64 (pow.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(hypot.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64))) |
(hypot.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(hypot.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(hypot.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))) |
(hypot.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(hypot.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64))) |
(hypot.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(hypot.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(hypot.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))) |
(hypot.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(hypot.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 x #s(literal 1/2 binary64))) |
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) |
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 x)) |
(hypot.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/2 binary64))) |
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x))) |
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 x)) |
(hypot.f64 (exp.f64 (log.f64 x)) x) |
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64))) |
(hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))) |
(hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(hypot.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64))) |
(hypot.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) |
(hypot.f64 (neg.f64 x) (exp.f64 (log.f64 x))) |
(hypot.f64 (neg.f64 x) (neg.f64 x)) |
(hypot.f64 (neg.f64 x) x) |
(hypot.f64 x (exp.f64 (log.f64 x))) |
(hypot.f64 x (neg.f64 x)) |
(hypot.f64 x x) |
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64) (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (fma.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64) (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))) (sinh.f64 (fma.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64) (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) #s(literal 3 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3/2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) |
(+.f64 (neg.f64 x) (neg.f64 x)) |
(+.f64 (*.f64 x x) (*.f64 x x)) |
(+.f64 x x) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.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) 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 (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.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)))) |
Compiled 11 948 to 1 334 computations (88.8% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 321 | 1 | 322 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 3 | 3 |
| Total | 322 | 4 | 326 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (+.f64 x y) (+.f64 x y)) |
| ▶ | 55.5% | #s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (+.f64 x x)) y (*.f64 x x))) |
| ✓ | 60.1% | #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
| ✓ | 52.7% | #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
Compiled 51 to 28 computations (45.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (* 2 x) y) (+.f64 x x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* 2 x) y) (+.f64 x x)) y (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (+.f64 x x)) y (*.f64 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 53 |
| 0 | 16 | 53 |
| 1 | 40 | 53 |
| 2 | 111 | 53 |
| 3 | 277 | 53 |
| 4 | 584 | 53 |
| 5 | 890 | 53 |
| 6 | 1501 | 53 |
| 7 | 2303 | 53 |
| 8 | 2760 | 53 |
| 9 | 3004 | 53 |
| 10 | 3136 | 53 |
| 0 | 3136 | 50 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (+.f64 x x)) y (*.f64 x x))) |
(fma.f64 #s(approx (+ (* 2 x) y) (+.f64 x x)) y (*.f64 x x)) |
#s(approx (+ (* 2 x) y) (+.f64 x x)) |
(+.f64 x x) |
x |
y |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (+.f64 x x)) y (*.f64 x x))) |
#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x))) |
(fma.f64 #s(approx (+ (* 2 x) y) (+.f64 x x)) y (*.f64 x x)) |
(fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x)) |
#s(approx (+ (* 2 x) y) (+.f64 x x)) |
#s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 x x) |
(*.f64 #s(literal 2 binary64) x) |
x |
y |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x x) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | #s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (+.f64 x x)) y (*.f64 x x))) | |
| accuracy | 33.75715232086045 | #s(approx (+ (* 2 x) y) (+.f64 x x)) |
| 54.0ms | 256× | 0 | valid |
Compiled 86 to 25 computations (70.9% saved)
ival-add: 40.0ms (85.5% of total)ival-mult: 6.0ms (12.8% 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)) (fma.f64 #s(approx (+ (* 2 x) y) (+.f64 x x)) y (*.f64 x x))) |
(fma.f64 #s(approx (+ (* 2 x) y) (+.f64 x x)) y (*.f64 x x)) |
#s(approx (+ (* 2 x) y) (+.f64 x x)) |
(+.f64 x x) |
(*.f64 x x) |
| Outputs |
|---|
(pow y 2) |
(+ (* 2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
y |
(+ y (* 2 x)) |
(* 2 x) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(* x (+ 2 (/ y x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ y x)) 2))) |
(+ (* 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 (* 2 (/ x y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(* -1 (* y (- (* -2 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((* (+ x y) (+ x y)) (+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) (+ x x) (* x x)) |
| 1.0ms | x | @ | -inf | ((* (+ x y) (+ x y)) (+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) (+ x x) (* x x)) |
| 0.0ms | x | @ | 0 | ((* (+ x y) (+ x y)) (+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) (+ x x) (* x x)) |
| 0.0ms | y | @ | inf | ((* (+ x y) (+ x y)) (+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) (+ x x) (* x x)) |
| 0.0ms | y | @ | -inf | ((* (+ x y) (+ x y)) (+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) (+ x x) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 186 |
| 1 | 211 | 176 |
| 2 | 726 | 168 |
| 3 | 3398 | 160 |
| 0 | 8182 | 150 |
| 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)) |
(* 2 x) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(* x (+ 2 (/ y x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ y x)) 2))) |
(+ (* 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 (* 2 (/ x y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(* -1 (* y (- (* -2 (/ 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)) |
(*.f64 (+.f64 y x) (+.f64 y x)) |
y |
(+ y (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x y) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) 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 (+ 2 (/ y x))) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) 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)) 2))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 2 binary64))) |
(+ (* 2 (* x y)) (pow x 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
(*.f64 (+.f64 y x) (+.f64 y 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 (* 2 (/ x y)))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 1 binary64)) 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 (- (* -2 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 51 |
| 0 | 16 | 49 |
| 1 | 82 | 49 |
| 0 | 760 | 46 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (+.f64 x x)) y (*.f64 x x))) |
(fma.f64 #s(approx (+ (* 2 x) y) (+.f64 x x)) y (*.f64 x x)) |
#s(approx (+ (* 2 x) y) (+.f64 x x)) |
(+.f64 x x) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (*.f64 (neg.f64 x) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 (neg.f64 x) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 (neg.f64 x) x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) (*.f64 y (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) |
(fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x)) |
(fma.f64 y #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) |
(fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 (neg.f64 x) x)))) |
(-.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))) |
(-.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x))) y)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(+.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) |
#s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) (fabs.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) |
(*.f64 (*.f64 x x) #s(literal 4 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) x))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 #s(literal 2 binary64) x))) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) |
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 #s(literal 2 binary64) x))) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(+.f64 x x) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 2 599 to 377 computations (85.5% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 92 | 0 | 92 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 92 | 4 | 96 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (+.f64 x y) (+.f64 x y)) |
| ✓ | 55.5% | #s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (+.f64 x x)) y (*.f64 x x))) |
| ✓ | 60.1% | #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
| ✓ | 52.7% | #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
Compiled 141 to 53 computations (62.4% saved)
| Inputs |
|---|
#s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
#s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
(*.f64 (+.f64 x y) (+.f64 x y)) |
#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (+.f64 x x)) y (*.f64 x x))) |
#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x))) |
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))) |
4 calls:
| 25.0ms | y |
| 3.0ms | x |
| 2.0ms | (+.f64 x y) |
| 2.0ms | (*.f64 (+.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 (+.f64 x y) (+.f64 x y)) |
| 100.0% | 1 | (+.f64 x 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)) |
(*.f64 (+.f64 x y) (+.f64 x y)) |
#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (+.f64 x x)) y (*.f64 x x))) |
#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x))) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (+.f64 x y)) |
4 calls:
| 2.0ms | (+.f64 x y) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 (+.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 (+.f64 x y) (+.f64 x y)) |
| 100.0% | 1 | (+.f64 x 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)) |
4 calls:
| 75.0ms | (*.f64 (+.f64 x y) (+.f64 x y)) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 2 | x |
| 87.3% | 2 | y |
| 62.3% | 2 | (*.f64 (+.f64 x y) (+.f64 x y)) |
| 99.1% | 2 | (+.f64 x y) |
Compiled 12 to 11 computations (8.3% 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 | (+.f64 x y) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 (+.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.7% | 1 | (*.f64 (+.f64 x y) (+.f64 x y)) |
| 52.7% | 1 | y |
| 52.7% | 1 | x |
| 52.7% | 1 | (+.f64 x y) |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -8.397758619263641e-162 | -6.90367748012488e-169 |
Compiled 8 to 9 computations (-12.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 63 |
| 1 | 30 | 63 |
| 2 | 68 | 63 |
| 3 | 188 | 63 |
| 4 | 530 | 63 |
| 5 | 889 | 63 |
| 6 | 1716 | 63 |
| 7 | 4306 | 63 |
| 8 | 6420 | 63 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))) |
(*.f64 (+.f64 x y) (+.f64 x y)) |
(if (<=.f64 (+.f64 x y) #s(literal -5065326622169181/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056 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 |
|---|
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))) |
(*.f64 (+.f64 x y) (+.f64 x y)) |
(if (<=.f64 (+.f64 x y) #s(literal -5065326622169181/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056 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 81 to 32 computations (60.5% saved)
Compiled 234 to 96 computations (59% saved)
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