
Time bar (total: 4.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 5 |
| 65.6% | 65.6% | 34.3% | 0.1% | 0% | 0% | 0% | 6 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 7 |
| 82% | 82% | 18% | 0.1% | 0% | 0% | 0% | 8 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 9 |
| 90.8% | 90.7% | 9.2% | 0.1% | 0% | 0% | 0% | 10 |
| 93.8% | 93.8% | 6.1% | 0.1% | 0% | 0% | 0% | 11 |
| 95.4% | 95.3% | 4.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 12 to 8 computations (33.3% saved)
ival-mult: 77.0ms (91.4% of total)ival-add: 4.0ms (4.8% of total)ival-div: 2.0ms (2.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 671.0ms | 8256× | 0 | valid |
ival-mult: 139.0ms (46.6% of total)ival-div: 84.0ms (28.2% of total)ival-add: 60.0ms (20.1% of total)const: 12.0ms (4% of total)backward-pass: 3.0ms (1% of total)| 2× | egg-herbie |
| 1778× | div-sub |
| 832× | distribute-rgt-in |
| 832× | distribute-lft-in |
| 826× | fnmadd-define |
| 696× | fmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 60 |
| 1 | 67 | 54 |
| 2 | 215 | 54 |
| 3 | 872 | 54 |
| 4 | 3073 | 44 |
| 0 | 7 | 9 |
| 1 | 14 | 9 |
| 2 | 28 | 9 |
| 3 | 42 | 9 |
| 4 | 43 | 9 |
| 0 | 43 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(/ (+ x y) (* (* x 2) y)) |
| Outputs |
|---|
(/ (+ x y) (* (* x 2) y)) |
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) y) |
| Inputs |
|---|
(/ (+ x y) (* (* x 2) y)) |
(/ (+ (neg x) y) (* (* (neg x) 2) y)) |
(/ (+ x (neg y)) (* (* x 2) (neg y))) |
(neg (/ (+ (neg x) y) (* (* (neg x) 2) y))) |
(neg (/ (+ x (neg y)) (* (* x 2) (neg y)))) |
(/ (+ y x) (* (* y 2) x)) |
| Outputs |
|---|
(/ (+ x y) (* (* x 2) y)) |
(- (/ 1/2 y) (recip (* x -2))) |
(/ (+ (neg x) y) (* (* (neg x) 2) y)) |
(- (/ 1/2 y) (/ 1/2 x)) |
(/ (+ x (neg y)) (* (* x 2) (neg y))) |
(- (/ -1/2 y) (/ -1/2 x)) |
(neg (/ (+ (neg x) y) (* (* (neg x) 2) y))) |
(- (/ -1/2 y) (/ -1/2 x)) |
(neg (/ (+ x (neg y)) (* (* x 2) (neg y)))) |
(- (/ 1/2 y) (/ 1/2 x)) |
(/ (+ y x) (* (* y 2) x)) |
(- (/ 1/2 y) (recip (* x -2))) |
(sort x y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 66 | 0 | - | 2 | (3.3519663358869377e-218 3.718445131642778e-95) | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x #s(literal 2 binary64)) y) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 59.0ms | 512× | 0 | valid |
Compiled 63 to 23 computations (63.5% saved)
ival-mult: 8.0ms (39.8% of total)ival-add: 7.0ms (34.8% of total)ival-div: 4.0ms (19.9% of total)const: 1.0ms (5% of total)backward-pass: 0.0ms (0% of total)Compiled 11 to 7 computations (36.4% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.0% | (/.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) y) |
| ▶ | 76.1% | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
Compiled 22 to 14 computations (36.4% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x y) x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x #s(literal 2 binary64)) y) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 38× | /-lowering-/.f32 |
| 38× | /-lowering-/.f64 |
| 26× | associate-/r* |
| 24× | *-lowering-*.f32 |
| 24× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 50 |
| 1 | 20 | 50 |
| 2 | 33 | 50 |
| 3 | 45 | 50 |
| 4 | 46 | 50 |
| 0 | 46 | 50 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (+ x y) (* (* x 2) y)) |
(+ x y) |
x |
y |
(* (* x 2) y) |
(* x 2) |
2 |
(/ (/ (/ (+ x y) x) 2) y) |
(/ (/ (+ x y) x) 2) |
(/ (+ x y) x) |
(+ x y) |
x |
y |
2 |
| Outputs |
|---|
(/ (+ x y) (* (* x 2) y)) |
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) y) |
(+ x y) |
(+.f64 x y) |
x |
y |
(* (* x 2) y) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* x 2) |
(*.f64 x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (/ (/ (+ x y) x) 2) y) |
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) y) |
(/ (/ (+ x y) x) 2) |
(/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) |
(/ (+ x y) x) |
(/.f64 (+.f64 x y) x) |
(+ x y) |
(+.f64 x y) |
x |
y |
2 |
#s(literal 2 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 x y) x) |
| ✓ | accuracy | 87.0% | (/.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) y) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x #s(literal 2 binary64)) y) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 76.1% | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 119.0ms | 256× | 0 | valid |
Compiled 53 to 11 computations (79.2% saved)
ival-add: 40.0ms (78.3% of total)ival-div: 7.0ms (13.7% of total)ival-mult: 4.0ms (7.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ x y) (* (* x 2) y))> |
#<alt (+ x y)> |
#<alt (* (* x 2) y)> |
#<alt (* x 2)> |
#<alt (/ (/ (/ (+ x y) x) 2) y)> |
#<alt (/ (/ (+ x y) x) 2)> |
#<alt (/ (+ x y) x)> |
| Outputs |
|---|
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ 1/2 y)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 y)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 y)> |
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)> |
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)> |
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)> |
#<alt (/ 1/2 x)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 x)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ 1/2 y)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 y)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 y)> |
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)> |
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)> |
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)> |
#<alt (/ 1/2 x)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 x)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (* 1/2 (/ y x))> |
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) x)> |
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) x)> |
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) x)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ y x)))> |
#<alt (+ 1/2 (* 1/2 (/ y x)))> |
#<alt (+ 1/2 (* 1/2 (/ y x)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ y x)))> |
#<alt (+ 1/2 (* 1/2 (/ y x)))> |
#<alt (+ 1/2 (* 1/2 (/ y x)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ y x)))> |
#<alt (+ 1/2 (* 1/2 (/ y x)))> |
#<alt (+ 1/2 (* 1/2 (/ y x)))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (/ y x)> |
#<alt (/ (+ x y) x)> |
#<alt (/ (+ x y) x)> |
#<alt (/ (+ x y) x)> |
#<alt 1> |
#<alt (+ 1 (/ y x))> |
#<alt (+ 1 (/ y x))> |
#<alt (+ 1 (/ y x))> |
#<alt 1> |
#<alt (+ 1 (/ y x))> |
#<alt (+ 1 (/ y x))> |
#<alt (+ 1 (/ y x))> |
#<alt 1> |
#<alt (+ 1 (/ y x))> |
#<alt (+ 1 (/ y x))> |
#<alt (+ 1 (/ y x))> |
#<alt (/ y x)> |
#<alt (* y (+ (/ 1 x) (/ 1 y)))> |
#<alt (* y (+ (/ 1 x) (/ 1 y)))> |
#<alt (* y (+ (/ 1 x) (/ 1 y)))> |
#<alt (/ y x)> |
#<alt (* y (+ (/ 1 x) (/ 1 y)))> |
#<alt (* y (+ (/ 1 x) (/ 1 y)))> |
#<alt (* y (+ (/ 1 x) (/ 1 y)))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (* x 2) |
| 1.0ms | y | @ | inf | (/ (+ x y) (* (* x 2) y)) |
| 1.0ms | x | @ | -inf | (/ (+ x y) (* (* x 2) y)) |
| 1.0ms | x | @ | inf | (/ (+ x y) (* (* x 2) y)) |
| 1.0ms | x | @ | 0 | (/ (+ x y) (* (* x 2) y)) |
| 1× | batch-egg-rewrite |
| 3088× | *-lowering-*.f32 |
| 3088× | *-lowering-*.f64 |
| 2860× | /-lowering-/.f32 |
| 2860× | /-lowering-/.f64 |
| 2410× | fma-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 41 |
| 1 | 63 | 41 |
| 2 | 456 | 41 |
| 3 | 5064 | 41 |
| 0 | 8174 | 41 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ x y) (* (* x 2) y)) |
(+ x y) |
(* (* x 2) y) |
(* x 2) |
(/ (/ (/ (+ x y) x) 2) y) |
(/ (/ (+ x y) x) 2) |
(/ (+ x y) x) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) y)) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) y) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) x)) |
(+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x y))) (*.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(+.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y))) (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (+.f64 x y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (*.f64 x (*.f64 y #s(literal -2 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 x (*.f64 y #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64))) (/.f64 (+.f64 x y) (*.f64 x (*.f64 y #s(literal -2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (+.f64 x y) (*.f64 x (*.f64 y #s(literal -2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (+.f64 x y) (*.f64 x (*.f64 y #s(literal -2 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (-.f64 x y)))) (/.f64 (*.f64 y y) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (-.f64 x y))))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) x (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) y (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) x)) |
(neg.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y #s(literal -2 binary64))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x y) (*.f64 x #s(literal -2 binary64))))) |
(/.f64 (+.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (+.f64 x y) (*.f64 (*.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64))) |
(/.f64 (/.f64 (+.f64 x y) x) (neg.f64 (*.f64 y #s(literal -2 binary64)))) |
(/.f64 (/.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64))) y) |
(/.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) x) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (*.f64 x (*.f64 y #s(literal -2 binary64)))) |
(/.f64 (/.f64 (+.f64 x y) (*.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) (*.f64 x (*.f64 y #s(literal -2 binary64))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 x y) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 x y) y) x)))) |
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(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 y x))) |
(/.f64 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) x) #s(literal 1 binary64)) (-.f64 x y)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (+.f64 (-.f64 #s(literal 0 binary64) x) y)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (-.f64 #s(literal 0 binary64) x) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (-.f64 y x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x y) (+.f64 (-.f64 #s(literal 0 binary64) x) y))) (+.f64 (-.f64 #s(literal 0 binary64) x) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) (*.f64 x x))) (-.f64 y x)) |
(/.f64 (neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) x)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) x)) (+.f64 (-.f64 #s(literal 0 binary64) x) y)) |
(/.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal -1 binary64)) x) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) x)) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) x)) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) (+.f64 (-.f64 #s(literal 0 binary64) x) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (+.f64 (-.f64 #s(literal 0 binary64) x) y)) (/.f64 #s(literal -1 binary64) x)) (-.f64 x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 x y)) |
(pow.f64 (/.f64 x (+.f64 x y)) #s(literal -1 binary64)) |
(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (*.f64 x (-.f64 x y)))) |
(*.f64 (/.f64 (+.f64 x y) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 (+.f64 x y) x) (/.f64 (-.f64 x y) (-.f64 x y))) |
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) x)) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (/.f64 (+.f64 x y) (*.f64 x (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x y)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) x)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x y)))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) x) (/.f64 (+.f64 x y) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) x) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) x) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y)) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) x) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
| 1× | egg-herbie |
| 2278× | *-lowering-*.f32 |
| 2278× | *-lowering-*.f64 |
| 1888× | sum4-define |
| 1556× | times-frac |
| 1026× | +-lowering-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 822 |
| 1 | 125 | 786 |
| 2 | 251 | 786 |
| 3 | 655 | 732 |
| 4 | 2957 | 732 |
| 5 | 7312 | 732 |
| 0 | 8238 | 732 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/2 x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ 1/2 y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/ 1/2 x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ 1/2 y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/ 1/2 x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 x) (* 1/2 y)) x) |
(/ (+ (* 1/2 x) (* 1/2 y)) x) |
(/ (+ (* 1/2 x) (* 1/2 y)) x) |
1/2 |
(+ 1/2 (* 1/2 (/ y x))) |
(+ 1/2 (* 1/2 (/ y x))) |
(+ 1/2 (* 1/2 (/ y x))) |
1/2 |
(+ 1/2 (* 1/2 (/ y x))) |
(+ 1/2 (* 1/2 (/ y x))) |
(+ 1/2 (* 1/2 (/ y x))) |
1/2 |
(+ 1/2 (* 1/2 (/ y x))) |
(+ 1/2 (* 1/2 (/ y x))) |
(+ 1/2 (* 1/2 (/ y x))) |
(* 1/2 (/ y x)) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ y x)) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(/ y x) |
(/ (+ x y) x) |
(/ (+ x y) x) |
(/ (+ x y) x) |
1 |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
1 |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
1 |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
(/ y x) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* y (+ (/ 1 x) (/ 1 y))) |
(/ y x) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* y (+ (/ 1 x) (/ 1 y))) |
| Outputs |
|---|
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/ (+ (* 1/2 x) (* 1/2 y)) x) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(/ (+ (* 1/2 x) (* 1/2 y)) x) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(/ (+ (* 1/2 x) (* 1/2 y)) x) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ y x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(+ 1/2 (* 1/2 (/ y x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(+ 1/2 (* 1/2 (/ y x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ y x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(+ 1/2 (* 1/2 (/ y x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(+ 1/2 (* 1/2 (/ y x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ y x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(+ 1/2 (* 1/2 (/ y x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(+ 1/2 (* 1/2 (/ y x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(/ y x) |
(/.f64 y x) |
(/ (+ x y) x) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/ (+ x y) x) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/ (+ x y) x) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/ y x) |
(/.f64 y x) |
(* y (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(* y (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(* y (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/ y x) |
(/.f64 y x) |
(* y (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(* y (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(* y (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
Compiled 23106 to 1965 computations (91.5% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1179 | 4 | 1183 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 1180 | 5 | 1185 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.0% | (/.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) y) |
| ▶ | 88.2% | (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x (+.f64 x y))) |
| ▶ | 47.5% | (/.f64 #s(literal 1/2 binary64) y) |
| ▶ | 54.3% | (/.f64 #s(literal 1/2 binary64) x) |
| ▶ | 100.0% | (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
Compiled 41 to 28 computations (31.7% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 x y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x (+.f64 x y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
| 4128× | /-lowering-/.f32 |
| 4128× | /-lowering-/.f64 |
| 3836× | fma-define |
| 3636× | fma-lowering-fma.f32 |
| 3636× | fma-lowering-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 47 |
| 1 | 15 | 47 |
| 2 | 32 | 47 |
| 3 | 75 | 47 |
| 4 | 144 | 47 |
| 5 | 231 | 47 |
| 6 | 657 | 47 |
| 7 | 3172 | 47 |
| 8 | 4728 | 47 |
| 9 | 4804 | 47 |
| 10 | 4808 | 47 |
| 11 | 4808 | 47 |
| 12 | 7502 | 47 |
| 0 | 8920 | 47 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (/ 1/2 x) (/ 1/2 y)) |
(/ 1/2 x) |
1/2 |
x |
(/ 1/2 y) |
y |
(/ 1/2 x) |
1/2 |
x |
(/ 1/2 y) |
1/2 |
y |
(/ (/ 1/2 y) (/ x (+ x y))) |
(/ 1/2 y) |
1/2 |
y |
(/ x (+ x y)) |
x |
(+ x y) |
| Outputs |
|---|
(+ (/ 1/2 x) (/ 1/2 y)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
1/2 |
#s(literal 1/2 binary64) |
x |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
y |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
1/2 |
#s(literal 1/2 binary64) |
x |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
1/2 |
#s(literal 1/2 binary64) |
y |
(/ (/ 1/2 y) (/ x (+ x y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
1/2 |
#s(literal 1/2 binary64) |
y |
(/ x (+ x y)) |
(/.f64 x (+.f64 x y)) |
x |
(+ x y) |
(+.f64 x y) |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (/.f64 x (+.f64 x y)) |
| ✓ | accuracy | 88.2% | (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x (+.f64 x y))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
| 67.0ms | 256× | 0 | valid |
Compiled 52 to 10 computations (80.8% saved)
ival-div: 7.0ms (67% of total)ival-add: 3.0ms (28.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (/ 1/2 x) (/ 1/2 y))> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 y)> |
#<alt (/ (/ 1/2 y) (/ x (+ x y)))> |
#<alt (/ x (+ x y))> |
#<alt (+ x y)> |
| Outputs |
|---|
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ 1/2 y)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 y)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 y)> |
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)> |
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)> |
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)> |
#<alt (/ 1/2 x)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 x)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)> |
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)> |
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)> |
#<alt (/ 1/2 x)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 x)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ 1/2 y)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 y)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ x y)> |
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))> |
#<alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))> |
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ y x)))> |
#<alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))> |
#<alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ y x)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ y x)))> |
#<alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))> |
#<alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))> |
#<alt (/ x y)> |
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)> |
#<alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)> |
#<alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)> |
#<alt (/ x y)> |
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+ (/ 1/2 x) (/ 1/2 y)) |
| 0.0ms | y | @ | 0 | (+ (/ 1/2 x) (/ 1/2 y)) |
| 0.0ms | x | @ | -inf | (/ x (+ x y)) |
| 0.0ms | x | @ | 0 | (/ 1/2 x) |
| 0.0ms | x | @ | 0 | (/ x (+ x y)) |
| 1× | batch-egg-rewrite |
| 4534× | *-lowering-*.f32 |
| 4534× | *-lowering-*.f64 |
| 3514× | /-lowering-/.f32 |
| 3514× | /-lowering-/.f64 |
| 1998× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 72 | 28 |
| 2 | 799 | 28 |
| 0 | 8853 | 28 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (/ 1/2 x) (/ 1/2 y)) |
(/ 1/2 x) |
(/ 1/2 y) |
(/ (/ 1/2 y) (/ x (+ x y))) |
(/ x (+ x y)) |
(+ x y) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) (neg.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) y)) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) y) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) x)) |
(+.f64 (/.f64 x (/.f64 x (/.f64 #s(literal 1/2 binary64) y))) (/.f64 y (/.f64 x (/.f64 #s(literal 1/2 binary64) y)))) |
(+.f64 (/.f64 y (/.f64 x (/.f64 #s(literal 1/2 binary64) y))) (/.f64 x (/.f64 x (/.f64 #s(literal 1/2 binary64) y)))) |
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(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (+.f64 x y)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x (+.f64 x y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 x y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 x y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 x y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) (-.f64 x y))) |
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 x y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (+.f64 x y) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (*.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) |
(*.f64 (*.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) #s(literal -1 binary64)) (+.f64 x y)) |
(+.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x)) (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x)))) |
(+.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))) (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) x) (*.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 #s(literal 0 binary64) y))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 (*.f64 y (-.f64 y x)) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x x) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 x y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 x y)))) |
(neg.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 x y)))) |
(neg.f64 (/.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 x y))) #s(literal 1 binary64))) |
(/.f64 x (+.f64 x y)) |
(/.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 x y))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) x))) |
(pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 x y)))) |
(*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(*.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
(*.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 x y)) |
(+.f64 x y) |
(+.f64 y x) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y)) |
(/.f64 (+.f64 x y) #s(literal 1 binary64)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal -1 binary64)) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) y))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))) |
(/.f64 (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 y y)) (+.f64 (-.f64 #s(literal 0 binary64) x) y)) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 y y))) (-.f64 x y)) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 y y))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 x x))) (neg.f64 (-.f64 y x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y))) (+.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64)) |
(*.f64 (+.f64 x y) #s(literal 1 binary64)) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))) |
(*.f64 #s(literal 1 binary64) (+.f64 x y)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(*.f64 (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) y))) |
(*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
| 1× | egg-herbie |
| 3116× | *-lowering-*.f32 |
| 3116× | *-lowering-*.f64 |
| 1382× | div-sub |
| 1246× | neg-lowering-neg.f64 |
| 1246× | neg-lowering-neg.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 742 |
| 1 | 427 | 683 |
| 2 | 1127 | 667 |
| 3 | 4702 | 665 |
| 0 | 8173 | 665 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/2 x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ 1/2 y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/ 1/2 x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/ 1/2 x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ 1/2 y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) x) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) x) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (-.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 (/.f64 #s(literal 1 binary64) y) y))))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (*.f64 (*.f64 y y) (+.f64 (/.f64 y x) #s(literal -1 binary64))) x)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (*.f64 (*.f64 y y) (+.f64 (/.f64 y x) #s(literal -1 binary64))) x)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (*.f64 (*.f64 y y) (+.f64 (/.f64 y x) #s(literal -1 binary64))) x)) x)) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (+.f64 x (*.f64 (/.f64 x y) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) y) (*.f64 x (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))) y)) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (+.f64 x (*.f64 (/.f64 x y) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) y) (*.f64 x (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))) y)) y) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
Compiled 12833 to 1059 computations (91.7% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 829 | 0 | 829 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 1 | 1 |
| Total | 829 | 5 | 834 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.0% | (/.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) y) |
| ✓ | 88.2% | (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x (+.f64 x y))) |
| ✓ | 47.5% | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | 54.3% | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | 100.0% | (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
Compiled 83 to 44 computations (47% saved)
| Inputs |
|---|
(/.f64 #s(literal 1/2 binary64) x) |
(/.f64 #s(literal 1/2 binary64) y) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x (+.f64 x y))) |
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) y) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
3 calls:
| 3.0ms | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
(/.f64 #s(literal 1/2 binary64) x) |
(/.f64 #s(literal 1/2 binary64) y) |
| Outputs |
|---|
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1/2 binary64) x) |
2 calls:
| 3.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.6% | 2 | x |
| 84.2% | 2 | y |
Compiled 6 to 4 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(/.f64 #s(literal 1/2 binary64) x) |
| Outputs |
|---|
(/.f64 #s(literal 1/2 binary64) x) |
2 calls:
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.3% | 1 | x |
| 54.3% | 1 | y |
Compiled 6 to 4 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 5.6503611644811824e-111 | 9.07253272207596e-104 |
| 10.0ms | 144× | 0 | valid |
Compiled 124 to 101 computations (18.5% saved)
ival-mult: 3.0ms (61.7% of total)ival-div: 1.0ms (20.6% of total)ival-add: 1.0ms (20.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 10 | 20 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(if (<=.f64 y #s(literal 5487280990934681/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(if (<=.f64 y #s(literal 5487280990934681/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
| 2278× | *-lowering-*.f32 |
| 2278× | *-lowering-*.f64 |
| 1888× | sum4-define |
| 1556× | times-frac |
| 1026× | +-lowering-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 822 |
| 1 | 125 | 786 |
| 2 | 251 | 786 |
| 3 | 655 | 732 |
| 4 | 2957 | 732 |
| 5 | 7312 | 732 |
| 0 | 8238 | 732 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
Compiled 37 to 21 computations (43.2% saved)
(sort x y)
Compiled 102 to 56 computations (45.1% saved)
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