
Time bar (total: 3.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 486.0ms | 8 256× | 0 | valid |
ival-div: 235.0ms (76.2% of total)ival-add: 60.0ms (19.5% of total)ival-true: 6.0ms (1.9% of total)exact: 5.0ms (1.6% of total)ival-assert: 3.0ms (1% of total)| 1× | egg-herbie |
| 44× | sub-neg |
| 40× | distribute-lft-neg-in |
| 34× | cancel-sign-sub |
| 26× | *-commutative |
| 24× | associate--r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 29 |
| 1 | 32 | 25 |
| 2 | 74 | 25 |
| 3 | 176 | 25 |
| 4 | 245 | 25 |
| 5 | 294 | 25 |
| 6 | 301 | 25 |
| 0 | 5 | 5 |
| 0 | 7 | 5 |
| 1 | 8 | 5 |
| 0 | 8 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 y #s(literal 500 binary64))) |
| Outputs |
|---|
(+.f64 x (/.f64 y #s(literal 500 binary64))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 y #s(literal 500 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 500 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 y #s(literal 500 binary64)) |
| 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 |
| 21.0ms | 512× | 0 | valid |
Compiled 40 to 24 computations (40% saved)
ival-div: 6.0ms (67.6% of total)ival-add: 2.0ms (22.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 x (/.f64 y #s(literal 500 binary64))) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 y #s(literal 500 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 y #s(literal 500 binary64))) |
| 4× | lower-+.f32 |
| 2× | lift-+.f64 |
| 2× | lift-/.f64 |
| 2× | lower-+.f64 |
| 2× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 0 | 7 | 11 |
| 1 | 8 | 11 |
| 0 | 8 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 y #s(literal 500 binary64))) |
x |
(/.f64 y #s(literal 500 binary64)) |
y |
#s(literal 500 binary64) |
| Outputs |
|---|
(+.f64 x (/.f64 y #s(literal 500 binary64))) |
x |
(/.f64 y #s(literal 500 binary64)) |
y |
#s(literal 500 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 y #s(literal 500 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 y #s(literal 500 binary64))) |
| 12.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-div: 2.0ms (52.6% of total)ival-add: 1.0ms (26.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 x (/.f64 y #s(literal 500 binary64)))> |
#<alt (/.f64 y #s(literal 500 binary64))> |
| Outputs |
|---|
#<alt (* 1/500 y)> |
#<alt (+ x (* 1/500 y))> |
#<alt (+ x (* 1/500 y))> |
#<alt (+ x (* 1/500 y))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/500 (/ y x))))> |
#<alt (* x (+ 1 (* 1/500 (/ y x))))> |
#<alt (* x (+ 1 (* 1/500 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x (* 1/500 y))> |
#<alt (+ x (* 1/500 y))> |
#<alt (+ x (* 1/500 y))> |
#<alt (* 1/500 y)> |
#<alt (* y (+ 1/500 (/ x y)))> |
#<alt (* y (+ 1/500 (/ x y)))> |
#<alt (* y (+ 1/500 (/ x y)))> |
#<alt (* 1/500 y)> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/ y 500) |
| 0.0ms | y | @ | inf | (+ x (/ y 500)) |
| 0.0ms | y | @ | inf | (/ y 500) |
| 0.0ms | x | @ | inf | (+ x (/ y 500)) |
| 0.0ms | x | @ | 0 | (+ x (/ y 500)) |
| 1× | egg-herbie |
| 4 188× | lower-/.f32 |
| 4 188× | lower-/.f64 |
| 3 666× | associate-/r* |
| 2 352× | lower-fma.f64 |
| 2 352× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 138 |
| 1 | 64 | 138 |
| 2 | 141 | 138 |
| 3 | 398 | 138 |
| 4 | 1108 | 138 |
| 5 | 2539 | 138 |
| 6 | 3437 | 138 |
| 7 | 4311 | 138 |
| 8 | 4789 | 138 |
| 9 | 4964 | 138 |
| 10 | 5054 | 138 |
| 11 | 5752 | 138 |
| 12 | 6068 | 138 |
| 13 | 6070 | 138 |
| 14 | 6070 | 138 |
| 15 | 6070 | 138 |
| 0 | 8131 | 120 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/500 y) |
(+ x (* 1/500 y)) |
(+ x (* 1/500 y)) |
(+ x (* 1/500 y)) |
x |
(* x (+ 1 (* 1/500 (/ y x)))) |
(* x (+ 1 (* 1/500 (/ y x)))) |
(* x (+ 1 (* 1/500 (/ y x)))) |
x |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
x |
(+ x (* 1/500 y)) |
(+ x (* 1/500 y)) |
(+ x (* 1/500 y)) |
(* 1/500 y) |
(* y (+ 1/500 (/ x y))) |
(* y (+ 1/500 (/ x y))) |
(* y (+ 1/500 (/ x y))) |
(* 1/500 y) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
| Outputs |
|---|
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
x |
(* x (+ 1 (* 1/500 (/ y x)))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* x (+ 1 (* 1/500 (/ y x)))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* x (+ 1 (* 1/500 (/ y x)))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
x |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
x |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* y (+ 1/500 (/ x y))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* y (+ 1/500 (/ x y))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* y (+ 1/500 (/ x y))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
| 1× | batch-egg-rewrite |
| 3 588× | lower-/.f32 |
| 3 586× | lower-/.f64 |
| 3 556× | lower-fma.f64 |
| 3 556× | lower-fma.f32 |
| 2 998× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 0 | 7 | 8 |
| 1 | 31 | 8 |
| 2 | 235 | 8 |
| 3 | 3706 | 8 |
| 0 | 8295 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 y #s(literal 500 binary64))) |
(/.f64 y #s(literal 500 binary64)) |
| Outputs |
|---|
(+.f64 x (*.f64 y #s(literal 1/500 binary64))) |
(+.f64 (*.f64 y #s(literal 1/500 binary64)) x) |
(+.f64 (*.f64 x (/.f64 x (fma.f64 y #s(literal -1/500 binary64) x))) (neg.f64 (/.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) #s(literal -1 binary64))) |
(-.f64 x (*.f64 y #s(literal -1/500 binary64))) |
(-.f64 (*.f64 x (/.f64 x (fma.f64 y #s(literal -1/500 binary64) x))) (/.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x))) |
(-.f64 (/.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1/500 binary64))) |
(fma.f64 x (/.f64 x (fma.f64 y #s(literal -1/500 binary64) x)) (neg.f64 (/.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x)))) |
(fma.f64 y #s(literal 1/500 binary64) x) |
(fma.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1 binary64) x) |
(fma.f64 (neg.f64 y) #s(literal -1/500 binary64) x) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/500 binary64) x)) (neg.f64 (/.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x)))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 y #s(literal 1/500 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/500 binary64)) x) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(fma.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/500 binary64)) x) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/500 binary64) (neg.f64 y) x) |
(fma.f64 #s(literal -1/500 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x) |
(fma.f64 #s(literal -1/500 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/500 binary64) x) |
(fma.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) x) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -1/250000 binary64)))) (fma.f64 y #s(literal 1/500 binary64) x) (neg.f64 (/.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 y #s(literal 1/500 binary64)) (fma.f64 y #s(literal 1/500 binary64) x) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x)))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1/500 binary64) x) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64) x) |
(fma.f64 (pow.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/500 binary64))) x) |
(fma.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/500 binary64))) x) |
(fma.f64 (exp.f64 (log.f64 #s(literal 1/500 binary64))) (exp.f64 (log.f64 y)) x) |
(neg.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)))))) |
(neg.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -1/250000 binary64))) (neg.f64 (fma.f64 y #s(literal -1/500 binary64) x)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -1/250000 binary64)))) (fma.f64 y #s(literal -1/500 binary64) x))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal 1/500 binary64)) x) (-.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 y #s(literal -1/500 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 y #s(literal 1/500 binary64)) x) (-.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (*.f64 x x))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))))) |
(/.f64 (neg.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -1/250000 binary64)))) (neg.f64 (fma.f64 y #s(literal -1/500 binary64) x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1/1953125000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/15625000000000000 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/15625000000000000 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 y #s(literal -1/500 binary64) x) (fma.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y (*.f64 #s(literal 1/250000 binary64) y) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 1/250000 binary64) y) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -1/250000 binary64)))) (*.f64 (fma.f64 y #s(literal -1/500 binary64) x) (fma.f64 y (*.f64 #s(literal 1/250000 binary64) y) (*.f64 x x)))) |
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(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)))))) |
(*.f64 (neg.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -1/250000 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y #s(literal -1/500 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/500 binary64) x)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -1/250000 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/500 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -1/250000 binary64)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x))) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 y #s(literal 1/500 binary64)) (fma.f64 y #s(literal 1/500 binary64) x) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -1/250000 binary64)))) (fma.f64 y #s(literal 1/500 binary64) x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64)) (*.f64 (-.f64 (*.f64 y #s(literal 1/500 binary64)) x) (*.f64 (-.f64 (*.f64 y #s(literal 1/500 binary64)) x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 y (*.f64 #s(literal 1/500 binary64) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x))) (-.f64 (*.f64 y (*.f64 #s(literal 1/500 binary64) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))) (fma.f64 x x (*.f64 (*.f64 y #s(literal -1/500 binary64)) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x))))) (fma.f64 x x (*.f64 (*.f64 y #s(literal -1/500 binary64)) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1/1953125000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/15625000000000000 binary64) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal -1/500 binary64) x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/15625000000000000 binary64) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y (*.f64 #s(literal 1/250000 binary64) y) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 (fma.f64 y (*.f64 #s(literal 1/250000 binary64) y) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -1/250000 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 1/250000 binary64) y) (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 y #s(literal 1/500 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/500 binary64))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/500 binary64))) |
(neg.f64 (*.f64 y #s(literal -1/500 binary64))) |
(neg.f64 (*.f64 (*.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64))) |
(/.f64 y #s(literal 500 binary64)) |
(/.f64 (neg.f64 y) #s(literal -500 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) |
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y)) |
(/.f64 #s(literal -1/500 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 500 binary64)))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -500 binary64)))) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal -1/500 binary64)))))) |
(pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 250000 binary64) (*.f64 y y)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 y #s(literal 1/500 binary64))))) |
(*.f64 y #s(literal 1/500 binary64)) |
(*.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) #s(literal -1/500 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/500 binary64))) |
(*.f64 #s(literal 1/500 binary64) y) |
(*.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/500 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/500 binary64) (neg.f64 y)) |
(*.f64 #s(literal -1/500 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/500 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/500 binary64)) |
(*.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1/500 binary64)) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/500 binary64)))) |
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/500 binary64)))) |
(*.f64 (exp.f64 (log.f64 #s(literal 1/500 binary64))) (exp.f64 (log.f64 y))) |
Compiled 3 779 to 415 computations (89% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 185 | 2 | 187 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 185 | 3 | 188 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 y #s(literal 1/500 binary64) x) |
| ✓ | 100.0% | (+.f64 x (/.f64 y #s(literal 500 binary64))) |
| ▶ | 45.4% | #s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y)) |
Compiled 18 to 13 computations (27.8% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 y #s(literal 1/500 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/500 binary64) y) |
| ✓ | cost-diff | 0 | #s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y)) |
| 8× | lower-+.f64 |
| 8× | lower-+.f32 |
| 4× | lower-fma.f32 |
| 4× | lower-*.f32 |
| 4× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 0 | 12 | 21 |
| 1 | 15 | 21 |
| 0 | 15 | 21 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y)) |
(*.f64 #s(literal 1/500 binary64) y) |
#s(literal 1/500 binary64) |
y |
(fma.f64 y #s(literal 1/500 binary64) x) |
y |
#s(literal 1/500 binary64) |
x |
| Outputs |
|---|
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y)) |
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) |
(*.f64 #s(literal 1/500 binary64) y) |
(*.f64 y #s(literal 1/500 binary64)) |
#s(literal 1/500 binary64) |
y |
(fma.f64 y #s(literal 1/500 binary64) x) |
y |
#s(literal 1/500 binary64) |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 y #s(literal 1/500 binary64) x) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 1/500 binary64) y) |
| ✓ | accuracy | 45.6% | #s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y)) |
| 20.0ms | 256× | 0 | valid |
Compiled 20 to 11 computations (45% saved)
ival-add: 4.0ms (31.5% of total)ival-mult: 3.0ms (23.6% of total)const: 3.0ms (23.6% of total)ival-div: 2.0ms (15.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))> |
#<alt (*.f64 #s(literal 1/500 binary64) y)> |
#<alt (fma.f64 y #s(literal 1/500 binary64) x)> |
| Outputs |
|---|
#<alt (* 1/500 y)> |
#<alt (+ x (* 1/500 y))> |
#<alt (+ x (* 1/500 y))> |
#<alt (+ x (* 1/500 y))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/500 (/ y x))))> |
#<alt (* x (+ 1 (* 1/500 (/ y x))))> |
#<alt (* x (+ 1 (* 1/500 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x (* 1/500 y))> |
#<alt (+ x (* 1/500 y))> |
#<alt (+ x (* 1/500 y))> |
#<alt (* 1/500 y)> |
#<alt (* y (+ 1/500 (/ x y)))> |
#<alt (* y (+ 1/500 (/ x y)))> |
#<alt (* y (+ 1/500 (/ x y)))> |
#<alt (* 1/500 y)> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt x> |
#<alt (+ x (* 1/500 y))> |
#<alt (+ x (* 1/500 y))> |
#<alt (+ x (* 1/500 y))> |
#<alt (* 1/500 y)> |
#<alt (* y (+ 1/500 (/ x y)))> |
#<alt (* y (+ 1/500 (/ x y)))> |
#<alt (* y (+ 1/500 (/ x y)))> |
#<alt (* 1/500 y)> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))> |
#<alt (* 1/500 y)> |
#<alt (+ x (* 1/500 y))> |
#<alt (+ x (* 1/500 y))> |
#<alt (+ x (* 1/500 y))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/500 (/ y x))))> |
#<alt (* x (+ 1 (* 1/500 (/ y x))))> |
#<alt (* x (+ 1 (* 1/500 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (+ x (/ y 500)) |
| 0.0ms | y | @ | -inf | (+ (* y 1/500) x) |
| 0.0ms | y | @ | inf | (* 1/500 y) |
| 0.0ms | y | @ | inf | (+ (* y 1/500) x) |
| 0.0ms | x | @ | 0 | (+ x (/ y 500)) |
| 1× | egg-herbie |
| 4 188× | lower-/.f32 |
| 4 188× | lower-/.f64 |
| 3 666× | associate-/r* |
| 2 352× | lower-fma.f64 |
| 2 352× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 240 |
| 1 | 64 | 240 |
| 2 | 141 | 240 |
| 3 | 398 | 240 |
| 4 | 1108 | 240 |
| 5 | 2539 | 240 |
| 6 | 3437 | 240 |
| 7 | 4311 | 240 |
| 8 | 4789 | 240 |
| 9 | 4964 | 240 |
| 10 | 5054 | 240 |
| 11 | 5752 | 240 |
| 12 | 6068 | 240 |
| 13 | 6070 | 240 |
| 14 | 6070 | 240 |
| 15 | 6070 | 240 |
| 0 | 8131 | 204 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/500 y) |
(+ x (* 1/500 y)) |
(+ x (* 1/500 y)) |
(+ x (* 1/500 y)) |
x |
(* x (+ 1 (* 1/500 (/ y x)))) |
(* x (+ 1 (* 1/500 (/ y x)))) |
(* x (+ 1 (* 1/500 (/ y x)))) |
x |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
x |
(+ x (* 1/500 y)) |
(+ x (* 1/500 y)) |
(+ x (* 1/500 y)) |
(* 1/500 y) |
(* y (+ 1/500 (/ x y))) |
(* y (+ 1/500 (/ x y))) |
(* y (+ 1/500 (/ x y))) |
(* 1/500 y) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
x |
(+ x (* 1/500 y)) |
(+ x (* 1/500 y)) |
(+ x (* 1/500 y)) |
(* 1/500 y) |
(* y (+ 1/500 (/ x y))) |
(* y (+ 1/500 (/ x y))) |
(* y (+ 1/500 (/ x y))) |
(* 1/500 y) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(* 1/500 y) |
(+ x (* 1/500 y)) |
(+ x (* 1/500 y)) |
(+ x (* 1/500 y)) |
x |
(* x (+ 1 (* 1/500 (/ y x)))) |
(* x (+ 1 (* 1/500 (/ y x)))) |
(* x (+ 1 (* 1/500 (/ y x)))) |
x |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
| Outputs |
|---|
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
x |
(* x (+ 1 (* 1/500 (/ y x)))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* x (+ 1 (* 1/500 (/ y x)))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* x (+ 1 (* 1/500 (/ y x)))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
x |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
x |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* y (+ 1/500 (/ x y))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* y (+ 1/500 (/ x y))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* y (+ 1/500 (/ x y))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
x |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* y (+ 1/500 (/ x y))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* y (+ 1/500 (/ x y))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* y (+ 1/500 (/ x y))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
x |
(* x (+ 1 (* 1/500 (/ y x)))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* x (+ 1 (* 1/500 (/ y x)))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* x (+ 1 (* 1/500 (/ y x)))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
x |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
| 1× | batch-egg-rewrite |
| 8 108× | lower-fma.f32 |
| 8 106× | lower-fma.f64 |
| 4 310× | lower-*.f32 |
| 4 308× | lower-*.f64 |
| 2 058× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 0 | 12 | 15 |
| 1 | 48 | 15 |
| 2 | 342 | 15 |
| 3 | 6037 | 15 |
| 0 | 8311 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y)) |
(*.f64 #s(literal 1/500 binary64) y) |
(fma.f64 y #s(literal 1/500 binary64) x) |
| Outputs |
|---|
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 1/500 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/500 binary64))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/500 binary64))) |
(neg.f64 (*.f64 y #s(literal -1/500 binary64))) |
(neg.f64 (*.f64 (*.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64))) |
(/.f64 y #s(literal 500 binary64)) |
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y)) |
(/.f64 (neg.f64 y) #s(literal -500 binary64)) |
(pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64)) |
(*.f64 y #s(literal 1/500 binary64)) |
(*.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/500 binary64) y) |
(*.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/500 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/500 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) #s(literal -1/500 binary64)) |
(*.f64 #s(literal -1/500 binary64) (neg.f64 y)) |
(*.f64 #s(literal -1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/500 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/500 binary64)) |
(*.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) #s(literal -1/500 binary64)) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 x (*.f64 y #s(literal 1/500 binary64))) |
(+.f64 (*.f64 y #s(literal 1/500 binary64)) x) |
(+.f64 (/.f64 (*.f64 x x) (fma.f64 y #s(literal -1/500 binary64) x)) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (fma.f64 y #s(literal -1/500 binary64) x)))) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -1/250000 binary64)) (fma.f64 y #s(literal -1/500 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) #s(literal -1 binary64))) |
(-.f64 x (*.f64 y #s(literal -1/500 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y #s(literal -1/500 binary64) x)) (/.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (fma.f64 y #s(literal -1/500 binary64) x))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -1/250000 binary64)) (fma.f64 y #s(literal -1/500 binary64) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1/500 binary64))) |
(fma.f64 x (/.f64 x (fma.f64 y #s(literal -1/500 binary64) x)) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (fma.f64 y #s(literal -1/500 binary64) x)))) |
(fma.f64 y #s(literal 1/500 binary64) x) |
(fma.f64 y (/.f64 (*.f64 y #s(literal 1/250000 binary64)) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)))) |
(fma.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 y #s(literal 1/500 binary64)) (/.f64 (*.f64 y #s(literal 1/500 binary64)) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(fma.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 #s(literal 1/500 binary64) (/.f64 (*.f64 y (*.f64 y #s(literal 1/500 binary64))) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)))) |
(fma.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/500 binary64) x)) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (fma.f64 y #s(literal -1/500 binary64) x)))) |
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/500 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 y #s(literal 1/500 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/500 binary64)) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/500 binary64)) x) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/250000 binary64) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)))) |
(fma.f64 (neg.f64 y) #s(literal -1/500 binary64) x) |
(fma.f64 #s(literal -1/500 binary64) (neg.f64 y) x) |
(fma.f64 #s(literal -1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) x) |
(fma.f64 #s(literal -1/500 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/250000 binary64) (/.f64 (*.f64 y y) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)))) |
(fma.f64 (*.f64 y #s(literal 1/250000 binary64)) (/.f64 y (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)))) |
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/500 binary64))) (/.f64 #s(literal 1/500 binary64) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/500 binary64) x) |
(fma.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) x) |
(fma.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (*.f64 x x))) (fma.f64 y #s(literal 1/500 binary64) x) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)))) |
(fma.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (fma.f64 x (fma.f64 y #s(literal 1/500 binary64) x) (*.f64 y (*.f64 y #s(literal 1/250000 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))) (fma.f64 y #s(literal 1/500 binary64) x) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (fma.f64 y #s(literal -1/500 binary64) x)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/125000000 binary64)))) (fma.f64 x (fma.f64 y #s(literal 1/500 binary64) x) (*.f64 y (*.f64 y #s(literal 1/250000 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (fma.f64 y #s(literal -1/500 binary64) x)))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) #s(literal -1/500 binary64) x) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64) x) |
(fma.f64 (pow.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(neg.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 y #s(literal 1/250000 binary64))))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 y #s(literal 1/250000 binary64)))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (*.f64 x x)) (fma.f64 y #s(literal -1/500 binary64) x))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 y #s(literal 1/250000 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 y #s(literal -1/500 binary64) x)) |
(/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 y #s(literal 1/250000 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1/1953125000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 y #s(literal 1/250000 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/125000000 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/15625000000000000 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1/1953125000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 y #s(literal 1/250000 binary64)))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (neg.f64 (*.f64 x (*.f64 x x)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/15625000000000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 y #s(literal 1/250000 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (neg.f64 (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/15625000000000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 (*.f64 y #s(literal 1/500 binary64)) x) (fma.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/62500000000 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/125000000 binary64)))) (*.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 y #s(literal 1/250000 binary64)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/125000000 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/125000000 binary64)))) (*.f64 (fma.f64 y #s(literal -1/500 binary64) x) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/62500000000 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 (*.f64 y #s(literal 1/500 binary64)) x) (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))) (*.f64 (fma.f64 y #s(literal -1/500 binary64) x) (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y #s(literal -1/500 binary64) x)) (*.f64 (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 y #s(literal 1/250000 binary64))))) (*.f64 (fma.f64 y #s(literal -1/500 binary64) x) (fma.f64 y #s(literal -1/500 binary64) x))) |
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(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/125000000 binary64)))) (fma.f64 x (fma.f64 y #s(literal 1/500 binary64) x) (*.f64 y (*.f64 y #s(literal 1/250000 binary64))))) |
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (*.f64 x x)) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (fma.f64 x (fma.f64 y #s(literal 1/500 binary64) x) (*.f64 y (*.f64 y #s(literal 1/250000 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/125000000 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 y #s(literal 1/250000 binary64)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1/1953125000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/125000000 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/15625000000000000 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 y #s(literal 1/250000 binary64)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1/1953125000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (neg.f64 (*.f64 x (*.f64 x x)))))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 y #s(literal 1/250000 binary64)))) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/15625000000000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (neg.f64 (*.f64 x (*.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 y #s(literal 1/250000 binary64)))) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/125000000 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/125000000 binary64))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 y #s(literal 1/500 binary64)) x) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/15625000000000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/62500000000 binary64))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 y #s(literal 1/500 binary64)) x) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/62500000000 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x)))) |
Compiled 4 126 to 384 computations (90.7% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 206 | 1 | 207 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 1 | 0 | 1 |
| Total | 207 | 3 | 210 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 y #s(literal 1/500 binary64) x) |
| ▶ | 45.6% | #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) |
| ✓ | 45.4% | #s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y)) |
Compiled 16 to 12 computations (25% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 y #s(literal 500 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) |
| 4× | lower-+.f64 |
| 4× | lower-+.f32 |
| 2× | lift-/.f64 |
| 2× | lower-/.f32 |
| 2× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 0 | 8 | 14 |
| 1 | 9 | 14 |
| 0 | 9 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) |
(/.f64 y #s(literal 500 binary64)) |
y |
#s(literal 500 binary64) |
| Outputs |
|---|
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) |
(/.f64 y #s(literal 500 binary64)) |
y |
#s(literal 500 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 y #s(literal 500 binary64)) |
| ✓ | accuracy | 45.6% | #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) |
| 9.0ms | 256× | 0 | valid |
Compiled 12 to 7 computations (41.7% saved)
ival-div: 2.0ms (55% of total)ival-add: 1.0ms (27.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))> |
#<alt (/.f64 y #s(literal 500 binary64))> |
| Outputs |
|---|
#<alt (* 1/500 y)> |
#<alt (+ x (* 1/500 y))> |
#<alt (+ x (* 1/500 y))> |
#<alt (+ x (* 1/500 y))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/500 (/ y x))))> |
#<alt (* x (+ 1 (* 1/500 (/ y x))))> |
#<alt (* x (+ 1 (* 1/500 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x (* 1/500 y))> |
#<alt (+ x (* 1/500 y))> |
#<alt (+ x (* 1/500 y))> |
#<alt (* 1/500 y)> |
#<alt (* y (+ 1/500 (/ x y)))> |
#<alt (* y (+ 1/500 (/ x y)))> |
#<alt (* y (+ 1/500 (/ x y)))> |
#<alt (* 1/500 y)> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
#<alt (* 1/500 y)> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+ x (/ y 500)) |
| 0.0ms | x | @ | inf | (+ x (/ y 500)) |
| 0.0ms | x | @ | -inf | (+ x (/ y 500)) |
| 0.0ms | y | @ | -inf | (+ x (/ y 500)) |
| 0.0ms | y | @ | inf | (+ x (/ y 500)) |
| 1× | egg-herbie |
| 4 188× | lower-/.f32 |
| 4 188× | lower-/.f64 |
| 3 666× | associate-/r* |
| 2 352× | lower-fma.f64 |
| 2 352× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 138 |
| 1 | 64 | 138 |
| 2 | 141 | 138 |
| 3 | 398 | 138 |
| 4 | 1108 | 138 |
| 5 | 2539 | 138 |
| 6 | 3437 | 138 |
| 7 | 4311 | 138 |
| 8 | 4789 | 138 |
| 9 | 4964 | 138 |
| 10 | 5054 | 138 |
| 11 | 5752 | 138 |
| 12 | 6068 | 138 |
| 13 | 6070 | 138 |
| 14 | 6070 | 138 |
| 15 | 6070 | 138 |
| 0 | 8131 | 120 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/500 y) |
(+ x (* 1/500 y)) |
(+ x (* 1/500 y)) |
(+ x (* 1/500 y)) |
x |
(* x (+ 1 (* 1/500 (/ y x)))) |
(* x (+ 1 (* 1/500 (/ y x)))) |
(* x (+ 1 (* 1/500 (/ y x)))) |
x |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
x |
(+ x (* 1/500 y)) |
(+ x (* 1/500 y)) |
(+ x (* 1/500 y)) |
(* 1/500 y) |
(* y (+ 1/500 (/ x y))) |
(* y (+ 1/500 (/ x y))) |
(* y (+ 1/500 (/ x y))) |
(* 1/500 y) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
(* 1/500 y) |
| Outputs |
|---|
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
x |
(* x (+ 1 (* 1/500 (/ y x)))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* x (+ 1 (* 1/500 (/ y x)))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* x (+ 1 (* 1/500 (/ y x)))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
x |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* -1 (* x (- (* -1/500 (/ y x)) 1))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
x |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(+ x (* 1/500 y)) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* y (+ 1/500 (/ x y))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* y (+ 1/500 (/ x y))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* y (+ 1/500 (/ x y))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* -1 (* y (- (* -1 (/ x y)) 1/500))) |
(fma.f64 #s(literal 1/500 binary64) y x) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
(* 1/500 y) |
(*.f64 #s(literal 1/500 binary64) y) |
| 1× | batch-egg-rewrite |
| 3 588× | lower-/.f32 |
| 3 586× | lower-/.f64 |
| 3 556× | lower-fma.f64 |
| 3 556× | lower-fma.f32 |
| 2 998× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 12 |
| 0 | 8 | 12 |
| 1 | 32 | 12 |
| 2 | 236 | 12 |
| 3 | 3707 | 12 |
| 0 | 8296 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) |
(/.f64 y #s(literal 500 binary64)) |
| Outputs |
|---|
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) |
(exp.f64 (log.f64 (*.f64 y #s(literal 1/500 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/500 binary64))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/500 binary64))) |
(neg.f64 (*.f64 y #s(literal -1/500 binary64))) |
(neg.f64 (*.f64 (*.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64))) |
(/.f64 y #s(literal 500 binary64)) |
(/.f64 (neg.f64 y) #s(literal -500 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) |
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y)) |
(/.f64 #s(literal -1/500 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -500 binary64)))) |
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 500 binary64)))) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal -1/500 binary64)))))) |
(pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 250000 binary64) (*.f64 y y)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 y #s(literal 1/500 binary64))))) |
(*.f64 y #s(literal 1/500 binary64)) |
(*.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) #s(literal -1/500 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/500 binary64))) |
(*.f64 #s(literal 1/500 binary64) y) |
(*.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/500 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/500 binary64) (neg.f64 y)) |
(*.f64 #s(literal -1/500 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/500 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/500 binary64)) |
(*.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1/500 binary64)) |
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/500 binary64)))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/500 binary64)))) |
(*.f64 (exp.f64 (log.f64 #s(literal 1/500 binary64))) (exp.f64 (log.f64 y))) |
Compiled 376 to 94 computations (75% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 74 | 0 | 74 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 74 | 3 | 77 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 y #s(literal 1/500 binary64) x) |
| ✓ | 45.6% | #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) |
| ✓ | 45.4% | #s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y)) |
Compiled 33 to 20 computations (39.4% saved)
| Inputs |
|---|
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y)) |
(fma.f64 y #s(literal 1/500 binary64) x) |
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) |
(+.f64 x (/.f64 y #s(literal 500 binary64))) |
| Outputs |
|---|
(+.f64 x (/.f64 y #s(literal 500 binary64))) |
4 calls:
| 3.0ms | x |
| 2.0ms | (+.f64 x (/.f64 y #s(literal 500 binary64))) |
| 2.0ms | (/.f64 y #s(literal 500 binary64)) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (+.f64 x (/.f64 y #s(literal 500 binary64))) |
| 100.0% | 1 | (/.f64 y #s(literal 500 binary64)) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y)) |
(fma.f64 y #s(literal 1/500 binary64) x) |
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) |
| Outputs |
|---|
(fma.f64 y #s(literal 1/500 binary64) x) |
4 calls:
| 2.0ms | (/.f64 y #s(literal 500 binary64)) |
| 2.0ms | (+.f64 x (/.f64 y #s(literal 500 binary64))) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (+.f64 x (/.f64 y #s(literal 500 binary64))) |
| 99.9% | 1 | (/.f64 y #s(literal 500 binary64)) |
Compiled 18 to 13 computations (27.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y)) |
| Outputs |
|---|
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y)) |
4 calls:
| 1.0ms | (+.f64 x (/.f64 y #s(literal 500 binary64))) |
| 1.0ms | (/.f64 y #s(literal 500 binary64)) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.4% | 1 | x |
| 45.4% | 1 | y |
| 45.4% | 1 | (+.f64 x (/.f64 y #s(literal 500 binary64))) |
| 45.4% | 1 | (/.f64 y #s(literal 500 binary64)) |
Compiled 18 to 13 computations (27.8% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 18 |
| 1 | 13 | 18 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 y #s(literal 500 binary64))) |
(fma.f64 y #s(literal 1/500 binary64) x) |
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 y #s(literal 500 binary64))) |
(fma.f64 y #s(literal 1/500 binary64) x) |
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y)) |
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) |
| 4 188× | lower-/.f32 |
| 4 188× | lower-/.f64 |
| 3 666× | associate-/r* |
| 3 588× | lower-/.f32 |
| 3 586× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 138 |
| 1 | 64 | 138 |
| 2 | 141 | 138 |
| 3 | 398 | 138 |
| 4 | 1108 | 138 |
| 5 | 2539 | 138 |
| 6 | 3437 | 138 |
| 7 | 4311 | 138 |
| 8 | 4789 | 138 |
| 9 | 4964 | 138 |
| 10 | 5054 | 138 |
| 11 | 5752 | 138 |
| 12 | 6068 | 138 |
| 13 | 6070 | 138 |
| 14 | 6070 | 138 |
| 15 | 6070 | 138 |
| 0 | 8131 | 120 |
| 0 | 5 | 8 |
| 0 | 7 | 8 |
| 1 | 31 | 8 |
| 2 | 235 | 8 |
| 3 | 3706 | 8 |
| 0 | 8295 | 7 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 30 to 19 computations (36.7% saved)
Compiled 42 to 26 computations (38.1% saved)
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