Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3
Time bar (total: 3.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 374.0ms | 7 615× | 0 | valid |
| 46.0ms | 137× | 3 | valid |
| 32.0ms | 291× | 1 | valid |
| 24.0ms | 213× | 2 | valid |
ival-sub: 88.0ms (36.3% of total)ival-div: 63.0ms (26% of total)ival-add: 62.0ms (25.6% of total)adjust: 16.0ms (6.6% of total)ival-true: 6.0ms (2.5% of total)exact: 4.0ms (1.6% of total)ival-assert: 3.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 x y) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 20.0ms | 478× | 0 | valid |
| 2.0ms | 20× | 1 | valid |
| 1.0ms | 10× | 2 | valid |
| 1.0ms | 4× | 3 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-div: 4.0ms (34.8% of total)ival-sub: 3.0ms (26.1% of total)ival-add: 3.0ms (26.1% of total)adjust: 1.0ms (8.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 41 |
| 1 | 47 | 35 |
| 2 | 147 | 35 |
| 3 | 405 | 35 |
| 4 | 726 | 35 |
| 5 | 913 | 35 |
| 6 | 962 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 17 | 7 |
| 2 | 31 | 7 |
| 3 | 56 | 7 |
| 4 | 106 | 7 |
| 5 | 221 | 7 |
| 6 | 415 | 7 |
| 7 | 532 | 7 |
| 8 | 630 | 7 |
| 9 | 646 | 7 |
| 10 | 648 | 7 |
| 0 | 648 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 128 | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) | |
| cost-diff | 384 | (/.f64 (-.f64 x y) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 17 | 18 |
| 2 | 31 | 18 |
| 3 | 56 | 18 |
| 4 | 106 | 18 |
| 5 | 221 | 18 |
| 6 | 415 | 18 |
| 7 | 532 | 18 |
| 8 | 630 | 18 |
| 9 | 646 | 18 |
| 10 | 648 | 18 |
| 0 | 648 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
x |
(/.f64 (-.f64 x y) #s(literal 2 binary64)) |
(-.f64 x y) |
y |
#s(literal 2 binary64) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) |
x |
(/.f64 (-.f64 x y) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 x y)) |
(-.f64 x y) |
y |
#s(literal 2 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 (-.f64 x y) #s(literal 2 binary64)) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0.0859375 | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| 10.0ms | 239× | 0 | valid |
| 1.0ms | 10× | 1 | valid |
| 1.0ms | 5× | 2 | valid |
| 0.0ms | 2× | 3 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-div: 2.0ms (36.2% of total)ival-sub: 2.0ms (36.2% of total)ival-add: 1.0ms (18.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 x y) #s(literal 2 binary64)) |
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
(-.f64 x y) |
| Outputs |
|---|
(* -1/2 y) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* -1 y) |
(- x y) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (/ y x) 1))) |
(+ x (* 1/2 x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (* -1 y)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (/ x y) 1)) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ (- x y) 2) (+ x (/ (- x y) 2)) (- x y)) |
| 1.0ms | y | @ | inf | ((/ (- x y) 2) (+ x (/ (- x y) 2)) (- x y)) |
| 0.0ms | x | @ | -inf | ((/ (- x y) 2) (+ x (/ (- x y) 2)) (- x y)) |
| 0.0ms | y | @ | -inf | ((/ (- x y) 2) (+ x (/ (- x y) 2)) (- x y)) |
| 0.0ms | x | @ | 0 | ((/ (- x y) 2) (+ x (/ (- x y) 2)) (- x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 110 |
| 1 | 195 | 100 |
| 2 | 616 | 100 |
| 3 | 1898 | 100 |
| 4 | 4253 | 100 |
| 5 | 6081 | 100 |
| 6 | 7857 | 100 |
| 0 | 8029 | 94 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 y) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* -1 y) |
(- x y) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (/ y x) 1))) |
(+ x (* 1/2 x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (* -1 y)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (/ x y) 1)) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
| Outputs |
|---|
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1/2 y) (* 1/2 x)) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
(+ (* -1/2 y) (* 3/2 x)) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(+ x (* 1/2 x)) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 49 | 15 |
| 2 | 420 | 15 |
| 3 | 5612 | 15 |
| 0 | 8577 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) #s(literal 2 binary64)) |
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
(-.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 y x)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 y x) y))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (*.f64 #s(literal -1/2 binary64) (-.f64 y x))) |
(*.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (-.f64 y x))) |
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (*.f64 #s(literal -1/2 binary64) (-.f64 y x))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -2 binary64) y)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 y x))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (pow.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (+.f64 y x))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 y x)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 y x))) |
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (-.f64 y x) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal -2 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(*.f64 (-.f64 y x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1/2 binary64)) (+.f64 y x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/2 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 y x)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (*.f64 #s(literal -1/2 binary64) (-.f64 y x))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (+.f64 y x))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1/2 binary64))) (+.f64 y x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (+.f64 y x) y (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 y x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (+.f64 y x))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -2 binary64) y))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 y x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (+.f64 y x) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y #s(literal -1/2 binary64)))))) |
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(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x))))) |
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 y (/.f64 y (+.f64 y x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(fma.f64 y #s(literal -1 binary64) x) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (+.f64 y x) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(fma.f64 x (/.f64 x (+.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x))))) |
(fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 y (/.f64 y (+.f64 y x)))) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 y) #s(literal -1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 y)) |
(-.f64 (+.f64 x #s(literal 0 binary64)) y) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(-.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(-.f64 (neg.f64 x) (neg.f64 y)) |
(-.f64 #s(literal 0 binary64) (-.f64 y x)) |
(-.f64 y x) |
(-.f64 x y) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x (+.f64 y x)))) (*.f64 y (/.f64 y (+.f64 y x)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) |
(+.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 y) #s(literal -1 binary64))) |
(+.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) y) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) x) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y)) |
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x))))) |
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(+.f64 (neg.f64 x) y) |
(+.f64 #s(literal 0 binary64) (-.f64 y x)) |
(+.f64 (neg.f64 y) x) |
(+.f64 y (neg.f64 x)) |
(+.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(+.f64 x (neg.f64 y)) |
Compiled 9 385 to 1 324 computations (85.9% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 443 | 4 | 447 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 444 | 4 | 448 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
| ▶ | 58.1% | (+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))) |
| ▶ | 100.0% | #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
| ▶ | 51.4% | #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) |
Compiled 42 to 34 computations (19% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | -128 | (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) | |
| cost-diff | 0 | #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) | |
| cost-diff | 0 | (*.f64 #s(literal 3/2 binary64) x) | |
| cost-diff | 0 | #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 81 |
| 0 | 24 | 81 |
| 1 | 44 | 81 |
| 2 | 82 | 81 |
| 3 | 177 | 81 |
| 4 | 370 | 79 |
| 5 | 733 | 79 |
| 6 | 805 | 79 |
| 7 | 828 | 79 |
| 8 | 850 | 79 |
| 9 | 870 | 79 |
| 10 | 874 | 79 |
| 0 | 874 | 79 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) |
(*.f64 #s(literal 3/2 binary64) x) |
#s(literal 3/2 binary64) |
x |
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
#s(literal 3/2 binary64) |
x |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))) |
x |
#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(-.f64 y x) |
y |
x |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) |
(*.f64 #s(literal 3/2 binary64) x) |
#s(literal 3/2 binary64) |
x |
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x)) |
#s(literal 3/2 binary64) |
x |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))) |
(+.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) x) |
x |
#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x)) |
(-.f64 y x) |
y |
x |
#s(literal -1/2 binary64) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0.0859375 | (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 0.0859375 | (+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))) | |
| accuracy | 32.193465884647296 | #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) | |
| accuracy | 0 | (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 0 | #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) | |
| accuracy | 0 | (*.f64 #s(literal 3/2 binary64) x) | |
| accuracy | 31.09239062556034 | #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) |
| 29.0ms | 239× | 0 | valid |
| 2.0ms | 10× | 1 | valid |
| 1.0ms | 5× | 2 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 147 to 33 computations (77.6% saved)
ival-mult: 7.0ms (41% of total)ival-add: 4.0ms (23.5% of total)ival-sub: 3.0ms (17.6% of total)ival-div: 2.0ms (11.7% of total)adjust: 1.0ms (5.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) |
(*.f64 #s(literal 3/2 binary64) x) |
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) |
(-.f64 y x) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
| Outputs |
|---|
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(* 3/2 x) |
(+ (* -1/2 y) (* 1/2 x)) |
y |
(+ y (* -1 x)) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(+ x (* 1/2 x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(- y x) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (- (/ x y) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | -inf | ((+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (+ (* 3/2 x) (* -1/2 y)) (* -1/2 y) (+ x (/ (- x y) 2)) (/ (- x y) 2) (- y x) (+ (* (- y x) -1/2) x)) |
| 1.0ms | y | @ | inf | ((+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (+ (* 3/2 x) (* -1/2 y)) (* -1/2 y) (+ x (/ (- x y) 2)) (/ (- x y) 2) (- y x) (+ (* (- y x) -1/2) x)) |
| 1.0ms | x | @ | inf | ((+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (+ (* 3/2 x) (* -1/2 y)) (* -1/2 y) (+ x (/ (- x y) 2)) (/ (- x y) 2) (- y x) (+ (* (- y x) -1/2) x)) |
| 1.0ms | x | @ | 0 | ((+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (+ (* 3/2 x) (* -1/2 y)) (* -1/2 y) (+ x (/ (- x y) 2)) (/ (- x y) 2) (- y x) (+ (* (- y x) -1/2) x)) |
| 1.0ms | y | @ | -inf | ((+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (+ (* 3/2 x) (* -1/2 y)) (* -1/2 y) (+ x (/ (- x y) 2)) (/ (- x y) 2) (- y x) (+ (* (- y x) -1/2) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 124 |
| 1 | 219 | 114 |
| 2 | 672 | 114 |
| 3 | 2013 | 114 |
| 4 | 3891 | 114 |
| 5 | 5576 | 114 |
| 6 | 7196 | 114 |
| 0 | 8097 | 106 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(* 3/2 x) |
(+ (* -1/2 y) (* 1/2 x)) |
y |
(+ y (* -1 x)) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(+ x (* 1/2 x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(- y x) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (- (/ x y) 1))) |
| Outputs |
|---|
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1/2 y) (* 3/2 x)) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ (* -1/2 y) (* 1/2 x)) |
(*.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(*.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(*.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(+ x (* 1/2 x)) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(- y x) |
(-.f64 y x) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(*.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(*.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 66 |
| 0 | 24 | 66 |
| 1 | 115 | 66 |
| 2 | 1001 | 64 |
| 0 | 8746 | 64 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) |
(*.f64 #s(literal 3/2 binary64) x) |
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) |
(-.f64 y x) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
| Outputs |
|---|
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) |
(*.f64 #s(literal 3/2 binary64) x) |
(*.f64 x #s(literal 3/2 binary64)) |
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 #s(literal -9/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 #s(literal -1/4 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))))) |
(*.f64 (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (pow.f64 (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))) |
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(neg.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))))) |
(neg.f64 (/.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))))))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -1/2 binary64)) x) |
(fma.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x) |
(fma.f64 (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x) |
(fma.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) #s(literal 2 binary64))) x) |
(fma.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) y))))) x) |
(fma.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y)) #s(literal 1/4 binary64) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) x) |
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) #s(literal 2 binary64))) x) |
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 x)))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal 2 binary64))) x) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x)))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 1 binary64) x) |
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 x)))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) |
(-.f64 (+.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) y)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) y (neg.f64 x))) |
(-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 y x))) |
(+.f64 (+.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) y)) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (/.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) |
Compiled 10 013 to 952 computations (90.5% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 322 | 1 | 323 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 0 | 0 |
| Total | 322 | 5 | 327 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
| ✓ | 58.1% | (+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))) |
| ✓ | 100.0% | #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
| ✓ | 51.4% | #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) |
| ▶ | 49.6% | #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) |
Compiled 53 to 43 computations (18.9% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 0 | 10 | 16 |
| 1 | 19 | 16 |
| 2 | 33 | 16 |
| 3 | 58 | 16 |
| 4 | 107 | 16 |
| 5 | 229 | 16 |
| 6 | 441 | 16 |
| 7 | 556 | 16 |
| 8 | 654 | 16 |
| 9 | 670 | 16 |
| 10 | 672 | 16 |
| 0 | 672 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
| Outputs |
|---|
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 32.25076794048449 | #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) |
| 14.0ms | 239× | 0 | valid |
| 1.0ms | 10× | 1 | valid |
| 1.0ms | 5× | 2 | valid |
| 0.0ms | 2× | 3 | valid |
Compiled 30 to 19 computations (36.7% saved)
ival-div: 2.0ms (27.5% of total)ival-sub: 2.0ms (27.5% of total)ival-mult: 2.0ms (27.5% of total)ival-add: 1.0ms (13.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
| Outputs |
|---|
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(+ x (* 1/2 x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | ((+ x (/ (- x y) 2)) (* -1/2 y)) |
| 0.0ms | y | @ | -inf | ((+ x (/ (- x y) 2)) (* -1/2 y)) |
| 0.0ms | y | @ | 0 | ((+ x (/ (- x y) 2)) (* -1/2 y)) |
| 0.0ms | x | @ | inf | ((+ x (/ (- x y) 2)) (* -1/2 y)) |
| 0.0ms | x | @ | -inf | ((+ x (/ (- x y) 2)) (* -1/2 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 51 |
| 1 | 101 | 51 |
| 2 | 340 | 51 |
| 3 | 1097 | 51 |
| 4 | 3208 | 51 |
| 5 | 6183 | 51 |
| 0 | 8066 | 45 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(+ x (* 1/2 x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
| Outputs |
|---|
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1/2 y) (* 3/2 x)) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(+ x (* 1/2 x)) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 0 | 10 | 14 |
| 1 | 51 | 14 |
| 2 | 421 | 14 |
| 3 | 5621 | 14 |
| 0 | 8587 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
| Outputs |
|---|
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (neg.f64 y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 y #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (neg.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y)) |
(/.f64 (neg.f64 y) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) y))) |
(/.f64 y #s(literal -2 binary64)) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
Compiled 200 to 49 computations (75.5% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 16 | 0 | 16 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 16 | 5 | 21 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
| ✓ | 58.1% | (+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))) |
| ✓ | 100.0% | #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
| ✓ | 51.4% | #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) |
| ✓ | 49.6% | #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) |
Compiled 113 to 65 computations (42.5% saved)
| Inputs |
|---|
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) |
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
3 calls:
| 3.0ms | x |
| 3.0ms | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) |
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
| Outputs |
|---|
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
3 calls:
| 4.0ms | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) |
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) |
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))) |
3 calls:
| 2.0ms | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.3% | 3 | x |
| 82.7% | 3 | y |
| 62.1% | 3 | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) |
| Outputs |
|---|
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) |
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) |
| Outputs |
|---|
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) |
3 calls:
| 1.0ms | x |
| 1.0ms | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.6% | 1 | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| 49.6% | 1 | x |
| 49.6% | 1 | y |
Compiled 9 to 10 computations (-11.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 3.382344209217604e-14 | 1.1294999512157693e-8 |
| 9.0ms | -8.300187570742962e+30 | -4.844778205914648e+28 |
| 9.0ms | 235× | 0 | valid |
| 1.0ms | 14× | 1 | valid |
| 1.0ms | 7× | 2 | valid |
Compiled 362 to 331 computations (8.6% saved)
ival-div: 2.0ms (35.6% of total)ival-sub: 2.0ms (35.6% of total)ival-add: 1.0ms (17.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 3.382344209217604e-14 | 1.1294999512157693e-8 |
| 14.0ms | -1.3617250334717314e+45 | -3.2174123938607913e+38 |
| 9.0ms | 180× | 0 | valid |
| 1.0ms | 5× | 2 | valid |
| 1.0ms | 7× | 1 | valid |
Compiled 406 to 371 computations (8.6% saved)
ival-div: 1.0ms (23.6% of total)ival-add: 1.0ms (23.6% of total)ival-sub: 1.0ms (23.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 113 |
| 1 | 35 | 113 |
| 2 | 40 | 113 |
| 3 | 45 | 113 |
| 4 | 59 | 113 |
| 5 | 78 | 113 |
| 6 | 96 | 113 |
| 7 | 118 | 113 |
| 8 | 133 | 113 |
| 9 | 146 | 113 |
| 10 | 158 | 113 |
| 11 | 182 | 113 |
| 12 | 183 | 113 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(if (<=.f64 y #s(literal -49999999999999995716575428608 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 y #s(literal 1064628433785427/1237940039285380274899124224 binary64)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))))) |
(if (<=.f64 y #s(literal -900000000000000000164090133493466172772843520 binary64)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 5446936172855673/4951760157141521099596496896 binary64)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)))) |
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) |
| Outputs |
|---|
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(if (<=.f64 y #s(literal -49999999999999995716575428608 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 y #s(literal 1064628433785427/1237940039285380274899124224 binary64)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))))) |
(if (<=.f64 y #s(literal -49999999999999995716575428608 binary64)) (+.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (if (<=.f64 y #s(literal 1064628433785427/1237940039285380274899124224 binary64)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (+.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) x))) |
(if (<=.f64 y #s(literal -900000000000000000164090133493466172772843520 binary64)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 5446936172855673/4951760157141521099596496896 binary64)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)))) |
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 124 |
| 1 | 219 | 114 |
| 2 | 672 | 114 |
| 3 | 2013 | 114 |
| 4 | 3891 | 114 |
| 5 | 5576 | 114 |
| 6 | 7196 | 114 |
| 0 | 8097 | 106 |
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 49 | 15 |
| 2 | 420 | 15 |
| 3 | 5612 | 15 |
| 0 | 8577 | 14 |
| 0 | 58 | 110 |
| 1 | 195 | 100 |
| 2 | 616 | 100 |
| 3 | 1898 | 100 |
| 4 | 4253 | 100 |
| 5 | 6081 | 100 |
| 6 | 7857 | 100 |
| 0 | 8029 | 94 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 142 to 65 computations (54.2% saved)
Compiled 254 to 86 computations (66.1% saved)
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