
Time bar (total: 5.4s)
| 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 11 to 11 computations (0% saved)
| 847.0ms | 8 256× | 0 | valid |
ival-mult: 222.0ms (61.5% of total)ival-div: 80.0ms (22.2% of total)ival-sub: 39.0ms (10.8% of total)exact: 11.0ms (3% of total)ival-true: 6.0ms (1.7% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 16 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 116 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) 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 |
| 29.0ms | 476× | 0 | valid |
| 3.0ms | 22× | 2 | valid |
| 2.0ms | 14× | 1 | valid |
Compiled 71 to 31 computations (56.3% saved)
ival-mult: 7.0ms (43.1% of total)ival-div: 4.0ms (24.6% of total)ival-sub: 3.0ms (18.5% of total)adjust: 1.0ms (6.2% of total)exact: 1.0ms (6.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 41 |
| 1 | 41 | 37 |
| 2 | 93 | 37 |
| 3 | 161 | 37 |
| 4 | 197 | 37 |
| 5 | 209 | 37 |
| 0 | 9 | 7 |
| 0 | 14 | 7 |
| 1 | 18 | 7 |
| 2 | 25 | 7 |
| 3 | 27 | 7 |
| 0 | 27 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 y (*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64)))) |
(negabs y)
Compiled 9 to 9 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
Compiled 9 to 9 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) | |
| cost-diff | 0 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) | |
| cost-diff | 2 | (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 0 | 14 | 21 |
| 1 | 18 | 21 |
| 2 | 25 | 21 |
| 3 | 27 | 21 |
| 0 | 27 | 21 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
x |
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
#s(literal 16 binary64) |
#s(literal 116 binary64) |
#s(literal 3 binary64) |
y |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 y (*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64))) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
#s(literal 4/29 binary64) |
#s(literal 16 binary64) |
#s(literal 116 binary64) |
#s(literal 3 binary64) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) | |
| accuracy | 0.08203125 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) | |
| accuracy | 0.1953125 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 18.0ms | 238× | 0 | valid |
| 2.0ms | 11× | 2 | valid |
| 1.0ms | 7× | 1 | valid |
Compiled 31 to 11 computations (64.5% saved)
ival-mult: 3.0ms (38% of total)ival-div: 2.0ms (25.3% of total)ival-sub: 1.0ms (12.7% 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 |
|---|
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Outputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
-12/29 |
(- (* 3 x) 12/29) |
-4/29 |
(- x 4/29) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* 3 (* y (- x 4/29))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | ((/ 16 116) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- x (/ 16 116))) |
| 1.0ms | x | @ | -inf | ((/ 16 116) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- x (/ 16 116))) |
| 1.0ms | x | @ | inf | ((/ 16 116) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- x (/ 16 116))) |
| 1.0ms | y | @ | 0 | ((/ 16 116) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- x (/ 16 116))) |
| 1.0ms | x | @ | 0 | ((/ 16 116) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- x (/ 16 116))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 82 |
| 1 | 107 | 74 |
| 2 | 286 | 74 |
| 3 | 638 | 74 |
| 4 | 1679 | 74 |
| 5 | 2514 | 74 |
| 6 | 3672 | 74 |
| 7 | 4630 | 74 |
| 8 | 6201 | 74 |
| 0 | 8078 | 68 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
-12/29 |
(- (* 3 x) 12/29) |
-4/29 |
(- x 4/29) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* 3 (* y (- x 4/29))) |
| Outputs |
|---|
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
-12/29 |
#s(literal -12/29 binary64) |
(- (* 3 x) 12/29) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 1 binary64))) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 0 | 14 | 16 |
| 1 | 32 | 16 |
| 2 | 135 | 16 |
| 3 | 968 | 16 |
| 0 | 8469 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Outputs |
|---|
#s(literal 4/29 binary64) |
(*.f64 (/.f64 y (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal -4/29 binary64) (neg.f64 x)))) |
(*.f64 (/.f64 y (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) |
(*.f64 (/.f64 y (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(*.f64 (/.f64 y (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -4/29 binary64) (neg.f64 x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 y (+.f64 #s(literal -4/29 binary64) (neg.f64 x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 y (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 y (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 y (+.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (neg.f64 (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) |
(*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 #s(literal -4/29 binary64) (neg.f64 x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (*.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal -3 binary64)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) y) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(*.f64 y (*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64))) y) |
(*.f64 #s(literal 3 binary64) (*.f64 y (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 y (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal -4/29 binary64) (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 y (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
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(fma.f64 x (/.f64 x (+.f64 x #s(literal 4/29 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (-.f64 x #s(literal 4/29 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 x x #s(literal 16/841 binary64)) (+.f64 x #s(literal 4/29 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 x x #s(literal 16/841 binary64)) (+.f64 x #s(literal 4/29 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 4/29 binary64))) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 64/24389 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (+.f64 x #s(literal 4/29 binary64)))) (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (+.f64 x #s(literal 4/29 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x #s(literal 4/29 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x #s(literal 4/29 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) (/.f64 #s(literal 262144/14507145975869 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (+.f64 x #s(literal 4/29 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 x #s(literal 4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (-.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 x #s(literal 4/29 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal -4096/594823321 binary64) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal -262144/14507145975869 binary64) (+.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(-.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(-.f64 x #s(literal 4/29 binary64)) |
(+.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 4/29 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64)))))) |
(+.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 4/29 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (-.f64 x #s(literal 4/29 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal -64/24389 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64))))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 64/24389 binary64) (-.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
Compiled 8 401 to 1 021 computations (87.8% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 252 | 13 | 265 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 253 | 13 | 266 |
| Status | Accuracy | Program |
|---|---|---|
| 76.3% | (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) | |
| ▶ | 76.4% | (/.f64 (*.f64 y (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64))) (+.f64 x #s(literal 4/29 binary64))) |
| 62.7% | (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) | |
| 66.8% | (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64)))) | |
| 66.7% | (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 x #s(literal 4/29 binary64))) | |
| 99.2% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| ▶ | 64.4% | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
| ▶ | 99.5% | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
| ▶ | 99.7% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
| 99.7% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) y) | |
| 54.6% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) | |
| ▶ | 47.2% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| 54.5% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
Compiled 394 to 306 computations (22.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal 4/29 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) | |
| cost-diff | 1 | (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) | |
| cost-diff | 16 | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) | |
| cost-diff | 0 | (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 y (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 y (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64))) (+.f64 x #s(literal 4/29 binary64))) | |
| cost-diff | 0 | (-.f64 x #s(literal 4/29 binary64)) | |
| cost-diff | 0 | (*.f64 y (-.f64 x #s(literal 4/29 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) | |
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) | |
| cost-diff | 0 | #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 194 |
| 0 | 53 | 172 |
| 1 | 90 | 172 |
| 2 | 175 | 172 |
| 3 | 530 | 172 |
| 4 | 2050 | 172 |
| 5 | 7227 | 172 |
| 0 | 8953 | 172 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal -12/29 binary64) |
y |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
#s(literal -12/29 binary64) |
y |
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 y (-.f64 x #s(literal 4/29 binary64))) |
y |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
#s(literal 3 binary64) |
(/.f64 (*.f64 y (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64))) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 y (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64))) |
y |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
(*.f64 x x) |
x |
#s(literal 16/841 binary64) |
#s(literal 3 binary64) |
(+.f64 x #s(literal 4/29 binary64)) |
#s(literal 4/29 binary64) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
(/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)) |
(fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) |
(*.f64 #s(literal -4/29 binary64) x) |
#s(literal -4/29 binary64) |
#s(literal 16/841 binary64) |
| Outputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
(*.f64 y #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal -12/29 binary64) |
y |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
#s(literal -12/29 binary64) |
y |
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 y (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
y |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
#s(literal 3 binary64) |
(/.f64 (*.f64 y (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64))) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 (*.f64 (/.f64 y (+.f64 #s(literal 4/29 binary64) x)) #s(literal 3 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) |
(*.f64 y (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) y) |
y |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
(*.f64 x x) |
x |
#s(literal 16/841 binary64) |
#s(literal 3 binary64) |
(+.f64 x #s(literal 4/29 binary64)) |
(+.f64 #s(literal 4/29 binary64) x) |
#s(literal 4/29 binary64) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 y (-.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) x) #s(literal 16/841 binary64))) (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
(/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(*.f64 (/.f64 y (-.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) x) #s(literal 16/841 binary64))) #s(literal 3 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)) |
(-.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) x) #s(literal 16/841 binary64)) |
(fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) x) |
(*.f64 #s(literal -4/29 binary64) x) |
#s(literal -4/29 binary64) |
#s(literal 16/841 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06640625 | (*.f64 #s(literal -4/29 binary64) x) | |
| accuracy | 4.1439624212766555 | (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) | |
| accuracy | 7.157568039192309 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) | |
| accuracy | 15.483310219268743 | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) | |
| accuracy | 0.0078125 | (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) | |
| accuracy | 0.51953125 | (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) | |
| accuracy | 6.4886898740261625 | (*.f64 y (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64))) | |
| accuracy | 8.440463724341262 | (/.f64 (*.f64 y (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64))) (+.f64 x #s(literal 4/29 binary64))) | |
| accuracy | 0.00390625 | (-.f64 x #s(literal 4/29 binary64)) | |
| accuracy | 0.07421875 | (*.f64 y (-.f64 x #s(literal 4/29 binary64))) | |
| accuracy | 0.30078125 | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) | |
| accuracy | 0.1953125 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) | |
| accuracy | 33.97468759556498 | #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) | |
| accuracy | 0.0 | #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) | |
| accuracy | 0.1953125 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
| 107.0ms | 237× | 0 | valid |
| 6.0ms | 11× | 2 | valid |
| 3.0ms | 8× | 1 | valid |
Compiled 197 to 33 computations (83.2% saved)
ival-sub: 27.0ms (34.2% of total)const: 20.0ms (25.3% of total)ival-mult: 20.0ms (25.3% of total)ival-div: 6.0ms (7.6% of total)ival-add: 4.0ms (5.1% of total)adjust: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 y (-.f64 x #s(literal 4/29 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
(/.f64 (*.f64 y (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64))) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 y (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64))) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(*.f64 #s(literal -4/29 binary64) x) |
| Outputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
-12/29 |
(- (* 3 x) 12/29) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
-4/29 |
(- x 4/29) |
(* -48/841 y) |
(+ (* -48/841 y) (* 3 (* (pow x 2) y))) |
-48/841 |
(- (* 3 (pow x 2)) 48/841) |
-16/841 |
(- (pow x 2) 16/841) |
(* -4/29 x) |
(* x (- x 4/29)) |
(* 87/4 y) |
(+ (* 3 (* x (- (* -841/16 y) (* 841/16 y)))) (* 87/4 y)) |
(+ (* 87/4 y) (* x (+ (* -3 (* x (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))) (* 3 (- (* -841/16 y) (* 841/16 y)))))) |
(+ (* 87/4 y) (* x (+ (* 3 (- (* -841/16 y) (* 841/16 y))) (* x (+ (* -3 (* x (+ (* -841/16 (- (* -841/16 y) (* 841/16 y))) (* -29/4 (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))))) (* -3 (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))))))) |
(* -2523/16 y) |
(+ (* -2523/16 y) (* 73167/64 (* x y))) |
(+ (* -2523/16 y) (* x (+ (* -2121843/128 (* x y)) (* 73167/64 y)))) |
(+ (* -2523/16 y) (* x (+ (* 73167/64 y) (* x (+ (* -2121843/128 y) (* -3 (* x (+ (* -20511149/512 y) (* -20511149/1024 y))))))))) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x y) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* 3 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 4/29 (/ 1 x)))) |
(* 3 (/ y x)) |
(/ (+ (* 48/841 (/ y (pow x 2))) (* 3 y)) x) |
(/ (+ (* 192/24389 (/ y (pow x 3))) (+ (* 48/841 (/ y (pow x 2))) (* 3 y))) x) |
(/ (+ (* 1536/707281 (/ y (pow x 4))) (+ (* 192/24389 (/ y (pow x 3))) (+ (* 48/841 (/ y (pow x 2))) (* 3 y)))) x) |
(* 3 (/ y (pow x 2))) |
(/ (+ (* 12/29 (/ y x)) (* 3 y)) (pow x 2)) |
(/ (+ (* 96/841 (/ y (pow x 2))) (+ (* 12/29 (/ y x)) (* 3 y))) (pow x 2)) |
(/ (+ (* -3 (/ (+ (* -128/24389 y) (* -64/24389 y)) (pow x 3))) (+ (* 96/841 (/ y (pow x 2))) (+ (* 12/29 (/ y x)) (* 3 y)))) (pow x 2)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (/ (+ (* -3 y) (* -48/841 (/ y (pow x 2)))) x)) |
(* -1 (/ (+ (* -3 y) (+ (* -48/841 (/ y (pow x 2))) (* -192/24389 (/ y (pow x 3))))) x)) |
(* -1 (/ (+ (* -3 y) (+ (* -1 (/ (+ (* 1536/707281 (/ y x)) (* 192/24389 y)) (pow x 3))) (* -48/841 (/ y (pow x 2))))) x)) |
(/ (+ (* -1 (/ (+ (* -12/29 y) (* -96/841 (/ y x))) x)) (* 3 y)) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 96/841 y) (* 3 (/ (+ (* 64/24389 y) (* 128/24389 y)) x))) x)) (* -12/29 y)) x)) (* 3 y)) (pow x 2)) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (* y (- (pow x 2) 16/841))) |
(* 3 (/ (* y (- x 4/29)) (- (+ (* -4/29 x) (pow x 2)) 16/841))) |
(* 3 (/ y (- (+ (* -4/29 x) (pow x 2)) 16/841))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | inf | ((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ (* y (* (- (* x x) 16/841) 3)) (+ x 4/29)) (* y (* (- (* x x) 16/841) 3)) (* (- (* x x) 16/841) 3) (- (* x x) 16/841) (* (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (- (+ (* x x) (* -4/29 x)) 16/841)) (+ (* x x) (* -4/29 x)) (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (* -4/29 x)) |
| 6.0ms | y | @ | inf | ((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ (* y (* (- (* x x) 16/841) 3)) (+ x 4/29)) (* y (* (- (* x x) 16/841) 3)) (* (- (* x x) 16/841) 3) (- (* x x) 16/841) (* (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (- (+ (* x x) (* -4/29 x)) 16/841)) (+ (* x x) (* -4/29 x)) (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (* -4/29 x)) |
| 4.0ms | y | @ | 0 | ((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ (* y (* (- (* x x) 16/841) 3)) (+ x 4/29)) (* y (* (- (* x x) 16/841) 3)) (* (- (* x x) 16/841) 3) (- (* x x) 16/841) (* (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (- (+ (* x x) (* -4/29 x)) 16/841)) (+ (* x x) (* -4/29 x)) (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (* -4/29 x)) |
| 3.0ms | x | @ | 0 | ((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ (* y (* (- (* x x) 16/841) 3)) (+ x 4/29)) (* y (* (- (* x x) 16/841) 3)) (* (- (* x x) 16/841) 3) (- (* x x) 16/841) (* (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (- (+ (* x x) (* -4/29 x)) 16/841)) (+ (* x x) (* -4/29 x)) (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (* -4/29 x)) |
| 3.0ms | y | @ | -inf | ((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ (* y (* (- (* x x) 16/841) 3)) (+ x 4/29)) (* y (* (- (* x x) 16/841) 3)) (* (- (* x x) 16/841) 3) (- (* x x) 16/841) (* (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (- (+ (* x x) (* -4/29 x)) 16/841)) (+ (* x x) (* -4/29 x)) (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (* -4/29 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 221 | 662 |
| 1 | 702 | 634 |
| 2 | 2599 | 569 |
| 0 | 8878 | 537 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
-12/29 |
(- (* 3 x) 12/29) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
-4/29 |
(- x 4/29) |
(* -48/841 y) |
(+ (* -48/841 y) (* 3 (* (pow x 2) y))) |
-48/841 |
(- (* 3 (pow x 2)) 48/841) |
-16/841 |
(- (pow x 2) 16/841) |
(* -4/29 x) |
(* x (- x 4/29)) |
(* 87/4 y) |
(+ (* 3 (* x (- (* -841/16 y) (* 841/16 y)))) (* 87/4 y)) |
(+ (* 87/4 y) (* x (+ (* -3 (* x (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))) (* 3 (- (* -841/16 y) (* 841/16 y)))))) |
(+ (* 87/4 y) (* x (+ (* 3 (- (* -841/16 y) (* 841/16 y))) (* x (+ (* -3 (* x (+ (* -841/16 (- (* -841/16 y) (* 841/16 y))) (* -29/4 (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))))) (* -3 (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))))))) |
(* -2523/16 y) |
(+ (* -2523/16 y) (* 73167/64 (* x y))) |
(+ (* -2523/16 y) (* x (+ (* -2121843/128 (* x y)) (* 73167/64 y)))) |
(+ (* -2523/16 y) (* x (+ (* 73167/64 y) (* x (+ (* -2121843/128 y) (* -3 (* x (+ (* -20511149/512 y) (* -20511149/1024 y))))))))) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x y) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* 3 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 4/29 (/ 1 x)))) |
(* 3 (/ y x)) |
(/ (+ (* 48/841 (/ y (pow x 2))) (* 3 y)) x) |
(/ (+ (* 192/24389 (/ y (pow x 3))) (+ (* 48/841 (/ y (pow x 2))) (* 3 y))) x) |
(/ (+ (* 1536/707281 (/ y (pow x 4))) (+ (* 192/24389 (/ y (pow x 3))) (+ (* 48/841 (/ y (pow x 2))) (* 3 y)))) x) |
(* 3 (/ y (pow x 2))) |
(/ (+ (* 12/29 (/ y x)) (* 3 y)) (pow x 2)) |
(/ (+ (* 96/841 (/ y (pow x 2))) (+ (* 12/29 (/ y x)) (* 3 y))) (pow x 2)) |
(/ (+ (* -3 (/ (+ (* -128/24389 y) (* -64/24389 y)) (pow x 3))) (+ (* 96/841 (/ y (pow x 2))) (+ (* 12/29 (/ y x)) (* 3 y)))) (pow x 2)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (/ (+ (* -3 y) (* -48/841 (/ y (pow x 2)))) x)) |
(* -1 (/ (+ (* -3 y) (+ (* -48/841 (/ y (pow x 2))) (* -192/24389 (/ y (pow x 3))))) x)) |
(* -1 (/ (+ (* -3 y) (+ (* -1 (/ (+ (* 1536/707281 (/ y x)) (* 192/24389 y)) (pow x 3))) (* -48/841 (/ y (pow x 2))))) x)) |
(/ (+ (* -1 (/ (+ (* -12/29 y) (* -96/841 (/ y x))) x)) (* 3 y)) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 96/841 y) (* 3 (/ (+ (* 64/24389 y) (* 128/24389 y)) x))) x)) (* -12/29 y)) x)) (* 3 y)) (pow x 2)) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (* y (- (pow x 2) 16/841))) |
(* 3 (/ (* y (- x 4/29)) (- (+ (* -4/29 x) (pow x 2)) 16/841))) |
(* 3 (/ y (- (+ (* -4/29 x) (pow x 2)) 16/841))) |
| Outputs |
|---|
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
-12/29 |
#s(literal -12/29 binary64) |
(- (* 3 x) 12/29) |
(-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 12/29 binary64)) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(+ (* -4/29 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -48/841 y) |
(*.f64 #s(literal -48/841 binary64) y) |
(+ (* -48/841 y) (* 3 (* (pow x 2) y))) |
(*.f64 y (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal -48/841 binary64))) |
-48/841 |
#s(literal -48/841 binary64) |
(- (* 3 (pow x 2)) 48/841) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 48/841 binary64)) |
-16/841 |
#s(literal -16/841 binary64) |
(- (pow x 2) 16/841) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
(* -4/29 x) |
(*.f64 #s(literal -4/29 binary64) x) |
(* x (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) x) |
(* 87/4 y) |
(*.f64 #s(literal 87/4 binary64) y) |
(+ (* 3 (* x (- (* -841/16 y) (* 841/16 y)))) (* 87/4 y)) |
(fma.f64 (*.f64 #s(literal -2523/8 binary64) y) x (*.f64 #s(literal 87/4 binary64) y)) |
(+ (* 87/4 y) (* x (+ (* -3 (* x (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))) (* 3 (- (* -841/16 y) (* 841/16 y)))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) x) (fma.f64 (*.f64 #s(literal -73167/64 binary64) x) y (*.f64 #s(literal 841/8 binary64) y)) (*.f64 #s(literal 87/4 binary64) y)) |
(+ (* 87/4 y) (* x (+ (* 3 (- (* -841/16 y) (* 841/16 y))) (* x (+ (* -3 (* x (+ (* -841/16 (- (* -841/16 y) (* 841/16 y))) (* -29/4 (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))))) (* -3 (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))))))) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -73167/64 binary64) y (*.f64 (fma.f64 #s(literal 707281/128 binary64) y (*.f64 y #s(literal 2121843/256 binary64))) x))) #s(literal -3 binary64) (*.f64 #s(literal -2523/8 binary64) y)) x (*.f64 #s(literal 87/4 binary64) y)) |
(* -2523/16 y) |
(*.f64 #s(literal -2523/16 binary64) y) |
(+ (* -2523/16 y) (* 73167/64 (* x y))) |
(*.f64 y (fma.f64 #s(literal 73167/64 binary64) x #s(literal -2523/16 binary64))) |
(+ (* -2523/16 y) (* x (+ (* -2121843/128 (* x y)) (* 73167/64 y)))) |
(fma.f64 (*.f64 y (fma.f64 #s(literal -2121843/128 binary64) x #s(literal 73167/64 binary64))) x (*.f64 #s(literal -2523/16 binary64) y)) |
(+ (* -2523/16 y) (* x (+ (* 73167/64 y) (* x (+ (* -2121843/128 y) (* -3 (* x (+ (* -20511149/512 y) (* -20511149/1024 y))))))))) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 #s(literal 184600341/1024 binary64) y)) x (*.f64 y (fma.f64 #s(literal -2121843/128 binary64) x #s(literal 73167/64 binary64)))) x (*.f64 #s(literal -2523/16 binary64) y)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* -4/29 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -4/29 binary64) y) x) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(fma.f64 (/.f64 #s(literal -4/29 binary64) x) x x) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(*.f64 (*.f64 (*.f64 y (-.f64 (/.f64 #s(literal -48/841 binary64) (*.f64 x x)) #s(literal -3 binary64))) x) x) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 48/841 binary64) (*.f64 x x))) x) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (/.f64 #s(literal -16/841 binary64) (*.f64 x x)) x x)) |
(* (pow x 2) (- 1 (* 4/29 (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -4/29 binary64) x) x x) x) |
(* 3 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 3 binary64)) |
(/ (+ (* 48/841 (/ y (pow x 2))) (* 3 y)) x) |
(/.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal -48/841 binary64) (*.f64 x x)))) x) |
(/ (+ (* 192/24389 (/ y (pow x 3))) (+ (* 48/841 (/ y (pow x 2))) (* 3 y))) x) |
(/.f64 (fma.f64 (/.f64 (/.f64 y x) x) (-.f64 (/.f64 #s(literal 192/24389 binary64) x) #s(literal -48/841 binary64)) (*.f64 y #s(literal 3 binary64))) x) |
(/ (+ (* 1536/707281 (/ y (pow x 4))) (+ (* 192/24389 (/ y (pow x 3))) (+ (* 48/841 (/ y (pow x 2))) (* 3 y)))) x) |
(/.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1536/707281 binary64) x) #s(literal -192/24389 binary64)) (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal -48/841 binary64) (*.f64 x x))))) x) |
(* 3 (/ y (pow x 2))) |
(*.f64 (/.f64 (/.f64 y x) x) #s(literal 3 binary64)) |
(/ (+ (* 12/29 (/ y x)) (* 3 y)) (pow x 2)) |
(*.f64 (/.f64 (/.f64 y x) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64))) |
(/ (+ (* 96/841 (/ y (pow x 2))) (+ (* 12/29 (/ y x)) (* 3 y))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 96/841 binary64) x) #s(literal -12/29 binary64)) (*.f64 y #s(literal 3 binary64))) (*.f64 x x)) |
(/ (+ (* -3 (/ (+ (* -128/24389 y) (* -64/24389 y)) (pow x 3))) (+ (* 96/841 (/ y (pow x 2))) (+ (* 12/29 (/ y x)) (* 3 y)))) (pow x 2)) |
(/.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (fma.f64 #s(literal 12/29 binary64) y (/.f64 (fma.f64 #s(literal 576/24389 binary64) (/.f64 y x) (*.f64 #s(literal 96/841 binary64) y)) x)) x)) (*.f64 x x)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -4/29 binary64) y) x) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 1 binary64))) |
(* -1 (/ (+ (* -3 y) (* -48/841 (/ y (pow x 2)))) x)) |
(/.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal -48/841 binary64) (*.f64 x x)))) x) |
(* -1 (/ (+ (* -3 y) (+ (* -48/841 (/ y (pow x 2))) (* -192/24389 (/ y (pow x 3))))) x)) |
(/.f64 (fma.f64 (/.f64 (/.f64 y x) x) (-.f64 (/.f64 #s(literal 192/24389 binary64) x) #s(literal -48/841 binary64)) (*.f64 y #s(literal 3 binary64))) x) |
(* -1 (/ (+ (* -3 y) (+ (* -1 (/ (+ (* 1536/707281 (/ y x)) (* 192/24389 y)) (pow x 3))) (* -48/841 (/ y (pow x 2))))) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 (fma.f64 #s(literal -48/841 binary64) y (/.f64 (fma.f64 #s(literal -1536/707281 binary64) (/.f64 y x) (*.f64 #s(literal -192/24389 binary64) y)) x)) (*.f64 x x))) (neg.f64 x)) |
(/ (+ (* -1 (/ (+ (* -12/29 y) (* -96/841 (/ y x))) x)) (* 3 y)) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 96/841 binary64) x) #s(literal -12/29 binary64)) (*.f64 y #s(literal 3 binary64))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 96/841 y) (* 3 (/ (+ (* 64/24389 y) (* 128/24389 y)) x))) x)) (* -12/29 y)) x)) (* 3 y)) (pow x 2)) |
(/.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (fma.f64 #s(literal 12/29 binary64) y (/.f64 (fma.f64 #s(literal 576/24389 binary64) (/.f64 y x) (*.f64 #s(literal 96/841 binary64) y)) x)) x)) (*.f64 x x)) |
(* 3 (* y (- x 4/29))) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (/.f64 y (+.f64 #s(literal 4/29 binary64) x))) |
(* 3 (* y (- (pow x 2) 16/841))) |
(*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) |
(* 3 (/ (* y (- x 4/29)) (- (+ (* -4/29 x) (pow x 2)) 16/841))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64))) (/.f64 y (-.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) x) #s(literal 16/841 binary64)))) |
(* 3 (/ y (- (+ (* -4/29 x) (pow x 2)) 16/841))) |
(*.f64 (/.f64 y (-.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) x) #s(literal 16/841 binary64))) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 153 |
| 0 | 53 | 142 |
| 1 | 161 | 142 |
| 2 | 1033 | 142 |
| 0 | 8912 | 142 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 y (-.f64 x #s(literal 4/29 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
(/.f64 (*.f64 y (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64))) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 y (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64))) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(*.f64 #s(literal -4/29 binary64) x) |
| Outputs |
|---|
(*.f64 y #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (*.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x))))) (*.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) (/.f64 #s(literal -1728/24389 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) (/.f64 #s(literal -1728/24389 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (fma.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))))) |
(/.f64 (-.f64 #s(literal -1728/24389 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 144/841 binary64) (fma.f64 (*.f64 #s(literal 9 binary64) x) x (*.f64 #s(literal -12/29 binary64) (*.f64 #s(literal -3 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) (-.f64 (*.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) (/.f64 #s(literal -1728/24389 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) (/.f64 #s(literal -1728/24389 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 144/841 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)) #s(literal 144/841 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x))) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x))) #s(literal -1728/24389 binary64))) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x))))) |
(/.f64 (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 144/841 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64))) (neg.f64 (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 144/841 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64))))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 144/841 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 144/841 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(-.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) |
(-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal -3 binary64) x)) |
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(+.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 4/29 binary64) x) x) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) #s(literal 16/841 binary64)) (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 4/29 binary64) x) x) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (*.f64 (-.f64 #s(literal 4/29 binary64) x) x))) |
(+.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 4/29 binary64) x) x) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 4/29 binary64) x) x) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (fma.f64 #s(literal -4/29 binary64) x #s(literal 16/841 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 4/29 binary64) x) x) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 4/29 binary64) x) x) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 4/29 binary64) x) x) #s(literal 16/841 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 4/29 binary64) x) x) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 4/29 binary64) x) x) #s(literal 16/841 binary64) #s(literal 256/707281 binary64))) (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 4/29 binary64) x) x) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 4/29 binary64) x) x) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 4/29 binary64) x) x) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 4/29 binary64) x) x) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 4/29 binary64) x) x) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 4/29 binary64) x) x) #s(literal 16/841 binary64) #s(literal 256/707281 binary64)))) |
(*.f64 #s(literal -4/29 binary64) x) |
(*.f64 x #s(literal -4/29 binary64)) |
Compiled 21 755 to 2 140 computations (90.2% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 624 | 4 | 628 |
| Fresh | 6 | 2 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 632 | 9 | 641 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 46.6% | (/.f64 (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64))) |
| ▶ | 99.2% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 99.5% | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
| ▶ | 47.0% | (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
| ✓ | 99.7% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
| ▶ | 54.6% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ✓ | 47.2% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ▶ | 54.5% | (*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64)) |
| 88.7% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
Compiled 180 to 163 computations (9.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x #s(literal 4/29 binary64)) | |
| cost-diff | 0 | #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) | |
| cost-diff | 0 | (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64))) | |
| cost-diff | 0 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| cost-diff | 0 | (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* y (- x 4/29)) (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 x #s(literal 4/29 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 135 |
| 0 | 44 | 135 |
| 1 | 67 | 135 |
| 2 | 91 | 135 |
| 3 | 111 | 135 |
| 4 | 131 | 135 |
| 5 | 140 | 135 |
| 6 | 148 | 135 |
| 7 | 153 | 135 |
| 8 | 187 | 135 |
| 9 | 259 | 135 |
| 10 | 335 | 135 |
| 11 | 388 | 135 |
| 0 | 388 | 135 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64)) |
#s(approx (* y (- x 4/29)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(literal 3 binary64) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
y |
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
y |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
#s(literal 3 binary64) |
(/.f64 (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) |
y |
#s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) |
#s(literal -48/841 binary64) |
(+.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
| Outputs |
|---|
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64)) y) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
y |
#s(literal 3 binary64) |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64)) |
#s(approx (* y (- x 4/29)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(literal 3 binary64) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
y |
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) |
y |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
#s(literal 3 binary64) |
(/.f64 (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 y (+.f64 #s(literal 4/29 binary64) x)) #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) |
(*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) |
(*.f64 #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) y) |
y |
#s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) |
#s(literal -48/841 binary64) |
(+.f64 x #s(literal 4/29 binary64)) |
(+.f64 #s(literal 4/29 binary64) x) |
x |
#s(literal 4/29 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f64 x #s(literal 4/29 binary64)) | |
| accuracy | 6.4886898740261625 | (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) | |
| accuracy | 8.440463724341262 | (/.f64 (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64))) | |
| accuracy | 34.45037145709077 | #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) | |
| accuracy | 0.07421875 | (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) | |
| accuracy | 0.30078125 | (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) | |
| accuracy | 33.96300641441992 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal 3 binary64) x) | |
| accuracy | 0.1953125 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) | |
| accuracy | 29.317971093129515 | #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.30078125 | (*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64)) | |
| accuracy | 28.989447433901084 | #s(approx (* y (- x 4/29)) (*.f64 y x)) | |
| accuracy | 0.0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.00390625 | (-.f64 x #s(literal 4/29 binary64)) | |
| accuracy | 0.481091560656129 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| 200.0ms | 238× | 0 | valid |
| 4.0ms | 11× | 2 | valid |
| 2.0ms | 7× | 1 | valid |
Compiled 113 to 28 computations (75.2% saved)
ival-sub: 146.0ms (76.6% of total)ival-mult: 21.0ms (11% of total)const: 17.0ms (8.9% of total)ival-div: 4.0ms (2.1% of total)adjust: 1.0ms (0.5% of total)ival-add: 1.0ms (0.5% 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 #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64)) |
#s(approx (* y (- x 4/29)) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(/.f64 (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) |
#s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) |
(+.f64 x #s(literal 4/29 binary64)) |
| Outputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
-4/29 |
(- x 4/29) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
(* x y) |
-12/29 |
(- (* 3 x) 12/29) |
(* 3 x) |
(* -48/841 y) |
(+ (* -48/841 y) (* 3 (* (pow x 2) y))) |
-48/841 |
(- (* 3 (pow x 2)) 48/841) |
4/29 |
(+ 4/29 x) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (+ y (* -4/29 (/ y x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(* x (+ 1 (* 4/29 (/ 1 x)))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* 3 (* y (- x 4/29))) |
(* 3 y) |
(* y (- x 4/29)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (* y (- (pow x 2) 16/841))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* y x) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ (* y (* (- (* x x) 16/841) 3)) (+ x 4/29)) (* y (* (- (* x x) 16/841) 3)) (* (- (* x x) 16/841) 3) (+ x 4/29)) |
| 2.0ms | y | @ | -inf | ((* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* y x) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ (* y (* (- (* x x) 16/841) 3)) (+ x 4/29)) (* y (* (- (* x x) 16/841) 3)) (* (- (* x x) 16/841) 3) (+ x 4/29)) |
| 2.0ms | y | @ | inf | ((* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* y x) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ (* y (* (- (* x x) 16/841) 3)) (+ x 4/29)) (* y (* (- (* x x) 16/841) 3)) (* (- (* x x) 16/841) 3) (+ x 4/29)) |
| 2.0ms | x | @ | inf | ((* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* y x) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ (* y (* (- (* x x) 16/841) 3)) (+ x 4/29)) (* y (* (- (* x x) 16/841) 3)) (* (- (* x x) 16/841) 3) (+ x 4/29)) |
| 2.0ms | y | @ | 0 | ((* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* y x) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ (* y (* (- (* x x) 16/841) 3)) (+ x 4/29)) (* y (* (- (* x x) 16/841) 3)) (* (- (* x x) 16/841) 3) (+ x 4/29)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 192 |
| 1 | 224 | 180 |
| 2 | 640 | 180 |
| 3 | 2004 | 180 |
| 4 | 5110 | 180 |
| 5 | 7586 | 180 |
| 0 | 8046 | 170 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
-4/29 |
(- x 4/29) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
(* x y) |
-12/29 |
(- (* 3 x) 12/29) |
(* 3 x) |
(* -48/841 y) |
(+ (* -48/841 y) (* 3 (* (pow x 2) y))) |
-48/841 |
(- (* 3 (pow x 2)) 48/841) |
4/29 |
(+ 4/29 x) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (+ y (* -4/29 (/ y x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(* x (+ 1 (* 4/29 (/ 1 x)))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* 3 (* y (- x 4/29))) |
(* 3 y) |
(* y (- x 4/29)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (* y (- (pow x 2) 16/841))) |
| Outputs |
|---|
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(+ (* -4/29 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* x y) |
(*.f64 y x) |
-12/29 |
#s(literal -12/29 binary64) |
(- (* 3 x) 12/29) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* -48/841 y) |
(*.f64 #s(literal -48/841 binary64) y) |
(+ (* -48/841 y) (* 3 (* (pow x 2) y))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal -48/841 binary64)) y) |
-48/841 |
#s(literal -48/841 binary64) |
(- (* 3 (pow x 2)) 48/841) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal -48/841 binary64)) |
4/29 |
#s(literal 4/29 binary64) |
(+ 4/29 x) |
(-.f64 x #s(literal -4/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* x (+ y (* -4/29 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal -48/841 binary64)) y) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal -48/841 binary64)) |
(* x (+ 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal -4/29 binary64)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) #s(literal 3 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) |
(* 3 (* y (- (pow x 2) 16/841))) |
(*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 118 |
| 0 | 44 | 118 |
| 1 | 101 | 118 |
| 2 | 422 | 118 |
| 3 | 4091 | 118 |
| 0 | 9724 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64)) |
#s(approx (* y (- x 4/29)) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(/.f64 (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) |
#s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) |
(+.f64 x #s(literal 4/29 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) y) (+.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (-.f64 #s(literal 4/29 binary64) x)) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64))) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (neg.f64 (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64))) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 16/841 binary64) x) x (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 4/29 binary64) x))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64)) y)) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 4/29 binary64) x))) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64)) y) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 (-.f64 x #s(literal 4/29 binary64)) y)) |
(*.f64 y (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -4/29 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 #s(literal 3 binary64) y))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (*.f64 #s(literal 3 binary64) y))) (-.f64 #s(literal 4/29 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))))) (-.f64 #s(literal 4/29 binary64) x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) y))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)))) (-.f64 #s(literal 4/29 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64)) (*.f64 #s(literal 3 binary64) y))) (neg.f64 (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (-.f64 #s(literal 4/29 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64)))) (neg.f64 (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (-.f64 #s(literal 4/29 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) (*.f64 #s(literal 3 binary64) y))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 16/841 binary64) x) x (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 4/29 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 16/841 binary64) x) x (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 4/29 binary64) x)))) |
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 4/29 binary64) x)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 #s(literal 3 binary64) y)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (*.f64 #s(literal 3 binary64) y)) (+.f64 #s(literal -4/29 binary64) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64)) (*.f64 #s(literal 3 binary64) y)) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (-.f64 #s(literal 4/29 binary64) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) (*.f64 #s(literal 3 binary64) y)) (*.f64 (fma.f64 (*.f64 #s(literal 16/841 binary64) x) x (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 4/29 binary64) x))) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (+.f64 #s(literal -4/29 binary64) x)) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64))) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (-.f64 #s(literal 4/29 binary64) x))) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 16/841 binary64) x) x (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 4/29 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) y)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64))) (+.f64 #s(literal -4/29 binary64) x)) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) y) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 #s(literal 4/29 binary64) x)) |
(*.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (neg.f64 (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (-.f64 #s(literal 4/29 binary64) x)) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64))) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 16/841 binary64) x) x (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)))) (+.f64 #s(literal -4/29 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64))))) (neg.f64 (*.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (*.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64)))) |
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(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (neg.f64 (-.f64 x #s(literal 4/29 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (-.f64 x #s(literal 4/29 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 16/841 binary64) x) x (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 4/29 binary64))))) |
(/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 x #s(literal 4/29 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 #s(literal 4/29 binary64) x)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) |
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(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) #s(literal 64/24389 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 16777216/353814783205469041 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 65536/500246412961 binary64)) (pow.f64 x #s(literal 8 binary64))) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (-.f64 x #s(literal 4/29 binary64))))) |
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(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 65536/500246412961 binary64)) (*.f64 (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (-.f64 x #s(literal 4/29 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 68719476736/210457284365172120330305161 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 4096/594823321 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216/353814783205469041 binary64)) (pow.f64 x #s(literal 12 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 16/841 binary64) x) x (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 4/29 binary64))))) |
(/.f64 (+.f64 #s(literal 262144/14507145975869 binary64) (pow.f64 x #s(literal 9 binary64))) (*.f64 (+.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(/.f64 (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))))) |
(/.f64 (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (+.f64 #s(literal -4/29 binary64) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 x #s(literal 4/29 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64))) (neg.f64 (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (-.f64 x #s(literal 4/29 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 16/841 binary64) x) x (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 x #s(literal 4/29 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 16/841 binary64) x) x (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 4/29 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (neg.f64 (-.f64 x #s(literal 4/29 binary64)))) |
(/.f64 (fma.f64 x x #s(literal 16/841 binary64)) (-.f64 #s(literal 4/29 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64)) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (-.f64 x #s(literal 4/29 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 16/841 binary64) x) x (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 4/29 binary64)))) |
(/.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))) |
(/.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 x #s(literal 4/29 binary64))) |
(neg.f64 (+.f64 #s(literal -4/29 binary64) x)) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) #s(literal 4/29 binary64)) |
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 4/29 binary64)) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64)) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 (/.f64 #s(literal 64/24389 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 (/.f64 #s(literal 64/24389 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 4/29 binary64)) |
(fma.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 x x #s(literal 16/841 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 #s(literal 4/29 binary64) x))) |
(fma.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 x x))) |
(fma.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 x x) (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 4/29 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x x #s(literal 16/841 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 (*.f64 #s(literal 4/29 binary64) x) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))))) |
(fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 x #s(literal 1 binary64) #s(literal 4/29 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (-.f64 x #s(literal 4/29 binary64)))) (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (-.f64 x #s(literal 4/29 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 16/841 binary64) x) x (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 4/29 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 16/841 binary64) x) x (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 4/29 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (-.f64 x #s(literal 4/29 binary64))) (/.f64 (/.f64 #s(literal -256/707281 binary64) (fma.f64 x x #s(literal -16/841 binary64))) (-.f64 x #s(literal 4/29 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 16/841 binary64) x) x (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 x #s(literal 4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 #s(literal 16/841 binary64) x) x (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 x #s(literal 4/29 binary64)))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 x #s(literal 4/29 binary64)))) |
(-.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 #s(literal -4/29 binary64) x)) (*.f64 x (/.f64 x (+.f64 #s(literal -4/29 binary64) x)))) |
(-.f64 #s(literal 4/29 binary64) x) |
(+.f64 (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (*.f64 (*.f64 #s(literal 4/29 binary64) x) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))))) |
(+.f64 (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 4/29 binary64)) |
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 x x #s(literal 16/841 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 #s(literal 4/29 binary64) x))) |
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 4/29 binary64)) |
(+.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 1 binary64))) |
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 4/29 binary64) x) |
(+.f64 x #s(literal 4/29 binary64)) |
Compiled 13 727 to 1 460 computations (89.4% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 478 | 2 | 480 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 479 | 10 | 489 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 47.1% | (/.f64 (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) #s(approx (+ x 4/29) #s(literal 4/29 binary64))) |
| ✓ | 99.2% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 99.5% | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
| ✓ | 47.0% | (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
| ▶ | 46.7% | (*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
| ✓ | 99.7% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
| ✓ | 54.6% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ✓ | 47.2% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ✓ | 54.5% | (*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64)) |
| ▶ | 88.7% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
Compiled 117 to 108 computations (7.7% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ x 4/29) #s(literal 4/29 binary64)) | |
| cost-diff | 0 | #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) | |
| cost-diff | 0 | (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) #s(approx (+ x 4/29) #s(literal 4/29 binary64))) | |
| cost-diff | 0 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) | |
| cost-diff | 0 | (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) | |
| cost-diff | 0 | (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) | |
| cost-diff | 0 | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 110 |
| 0 | 38 | 110 |
| 1 | 58 | 110 |
| 2 | 94 | 110 |
| 3 | 119 | 110 |
| 4 | 145 | 110 |
| 5 | 177 | 110 |
| 6 | 207 | 110 |
| 7 | 236 | 110 |
| 8 | 266 | 110 |
| 9 | 328 | 110 |
| 10 | 397 | 110 |
| 11 | 446 | 110 |
| 0 | 446 | 110 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) |
y |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 12/29 binary64) x) |
#s(literal 12/29 binary64) |
x |
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
(/.f64 (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) #s(approx (+ x 4/29) #s(literal 4/29 binary64))) |
(*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) |
y |
#s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) |
#s(literal -48/841 binary64) |
#s(approx (+ x 4/29) #s(literal 4/29 binary64)) |
#s(literal 4/29 binary64) |
| Outputs |
|---|
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) x)) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) x) |
(*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) |
y |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 12/29 binary64) x) |
#s(literal 12/29 binary64) |
x |
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)) y) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
y |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
(/.f64 (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) #s(approx (+ x 4/29) #s(literal 4/29 binary64))) |
(*.f64 (/.f64 y #s(approx (+ x 4/29) #s(literal 4/29 binary64))) #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) |
(*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) |
(*.f64 #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) y) |
y |
#s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) |
#s(literal -48/841 binary64) |
#s(approx (+ x 4/29) #s(literal 4/29 binary64)) |
#s(literal 4/29 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.4886898740261625 | (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) | |
| accuracy | 8.440463724341262 | (/.f64 (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) #s(approx (+ x 4/29) #s(literal 4/29 binary64))) | |
| accuracy | 33.933646049167784 | #s(approx (+ x 4/29) #s(literal 4/29 binary64)) | |
| accuracy | 34.45037145709077 | #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0.481091560656129 | (*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) | |
| accuracy | 33.96300641441992 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) | |
| accuracy | 0.0859375 | (/.f64 #s(literal 12/29 binary64) x) | |
| accuracy | 0.17578125 | (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) | |
| accuracy | 7.157981031065503 | (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
| 68.0ms | 241× | 0 | valid |
| 3.0ms | 7× | 2 | valid |
| 3.0ms | 8× | 1 | valid |
Compiled 90 to 29 computations (67.8% saved)
ival-mult: 23.0ms (43.5% of total)const: 16.0ms (30.2% of total)ival-div: 6.0ms (11.3% of total)ival-sub: 5.0ms (9.4% of total)adjust: 1.0ms (1.9% of total)ival-add: 1.0ms (1.9% 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 (/ 16 116)) 3) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 #s(literal 3 binary64) y) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(/.f64 (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) #s(approx (+ x 4/29) #s(literal 4/29 binary64))) |
(*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) |
#s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) |
#s(approx (+ x 4/29) #s(literal 4/29 binary64)) |
(/.f64 #s(literal 12/29 binary64) x) |
| Outputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* -12/29 (/ y x)) |
(/ (+ (* -12/29 y) (* 3 (* x y))) x) |
(/ -12/29 x) |
(/ (- (* 3 x) 12/29) x) |
-4/29 |
(- x 4/29) |
(* -48/841 y) |
(+ (* -48/841 y) (* 3 (* (pow x 2) y))) |
-48/841 |
(- (* 3 (pow x 2)) 48/841) |
4/29 |
(+ 4/29 x) |
(/ 12/29 x) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* 3 y) |
(+ (* -12/29 (/ y x)) (* 3 y)) |
3 |
(- 3 (* 12/29 (/ 1 x))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* 3 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(* x (+ 1 (* 4/29 (/ 1 x)))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* 3 (* y (- x 4/29))) |
(* x (* y (- 3 (* 12/29 (/ 1 x))))) |
(* y (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (* y (- (pow x 2) 16/841))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | -inf | ((* (* (- x (/ 16 116)) 3) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (- 3 (/ 12/29 x)) (* (* 3 y) (- x 4/29)) (* 3 y) (- x 4/29) (/ (* y (* (- (* x x) 16/841) 3)) (+ x 4/29)) (* y (* (- (* x x) 16/841) 3)) (* (- (* x x) 16/841) 3) (+ x 4/29) (/ 12/29 x)) |
| 2.0ms | y | @ | inf | ((* (* (- x (/ 16 116)) 3) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (- 3 (/ 12/29 x)) (* (* 3 y) (- x 4/29)) (* 3 y) (- x 4/29) (/ (* y (* (- (* x x) 16/841) 3)) (+ x 4/29)) (* y (* (- (* x x) 16/841) 3)) (* (- (* x x) 16/841) 3) (+ x 4/29) (/ 12/29 x)) |
| 2.0ms | y | @ | 0 | ((* (* (- x (/ 16 116)) 3) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (- 3 (/ 12/29 x)) (* (* 3 y) (- x 4/29)) (* 3 y) (- x 4/29) (/ (* y (* (- (* x x) 16/841) 3)) (+ x 4/29)) (* y (* (- (* x x) 16/841) 3)) (* (- (* x x) 16/841) 3) (+ x 4/29) (/ 12/29 x)) |
| 2.0ms | x | @ | 0 | ((* (* (- x (/ 16 116)) 3) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (- 3 (/ 12/29 x)) (* (* 3 y) (- x 4/29)) (* 3 y) (- x 4/29) (/ (* y (* (- (* x x) 16/841) 3)) (+ x 4/29)) (* y (* (- (* x x) 16/841) 3)) (* (- (* x x) 16/841) 3) (+ x 4/29) (/ 12/29 x)) |
| 2.0ms | x | @ | -inf | ((* (* (- x (/ 16 116)) 3) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (- 3 (/ 12/29 x)) (* (* 3 y) (- x 4/29)) (* 3 y) (- x 4/29) (/ (* y (* (- (* x x) 16/841) 3)) (+ x 4/29)) (* y (* (- (* x x) 16/841) 3)) (* (- (* x x) 16/841) 3) (+ x 4/29) (/ 12/29 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 212 |
| 1 | 184 | 192 |
| 2 | 510 | 182 |
| 3 | 1721 | 182 |
| 4 | 4759 | 182 |
| 0 | 8121 | 173 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* -12/29 (/ y x)) |
(/ (+ (* -12/29 y) (* 3 (* x y))) x) |
(/ -12/29 x) |
(/ (- (* 3 x) 12/29) x) |
-4/29 |
(- x 4/29) |
(* -48/841 y) |
(+ (* -48/841 y) (* 3 (* (pow x 2) y))) |
-48/841 |
(- (* 3 (pow x 2)) 48/841) |
4/29 |
(+ 4/29 x) |
(/ 12/29 x) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* 3 y) |
(+ (* -12/29 (/ y x)) (* 3 y)) |
3 |
(- 3 (* 12/29 (/ 1 x))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* 3 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(* x (+ 1 (* 4/29 (/ 1 x)))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* 3 (* y (- x 4/29))) |
(* x (* y (- 3 (* 12/29 (/ 1 x))))) |
(* y (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (* y (- (pow x 2) 16/841))) |
| Outputs |
|---|
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* -12/29 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal -12/29 binary64)) |
(/ (+ (* -12/29 y) (* 3 (* x y))) x) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) |
(/ -12/29 x) |
(/.f64 #s(literal -12/29 binary64) x) |
(/ (- (* 3 x) 12/29) x) |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -48/841 y) |
(*.f64 #s(literal -48/841 binary64) y) |
(+ (* -48/841 y) (* 3 (* (pow x 2) y))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal -48/841 binary64)) y) |
-48/841 |
#s(literal -48/841 binary64) |
(- (* 3 (pow x 2)) 48/841) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal -48/841 binary64)) |
4/29 |
#s(literal 4/29 binary64) |
(+ 4/29 x) |
(-.f64 x #s(literal -4/29 binary64)) |
(/ 12/29 x) |
(/.f64 #s(literal 12/29 binary64) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(+ (* -12/29 (/ y x)) (* 3 y)) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) |
3 |
#s(literal 3 binary64) |
(- 3 (* 12/29 (/ 1 x))) |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal -48/841 binary64)) y) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal -48/841 binary64)) |
(* x (+ 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal -4/29 binary64)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 1 binary64))) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* x (* y (- 3 (* 12/29 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* y (- 3 (* 12/29 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) #s(literal 3 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) |
(* 3 (* y (- (pow x 2) 16/841))) |
(*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 100 |
| 0 | 38 | 100 |
| 1 | 109 | 100 |
| 2 | 548 | 100 |
| 3 | 5334 | 100 |
| 0 | 8744 | 100 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 #s(literal 3 binary64) y) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(/.f64 (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) #s(approx (+ x 4/29) #s(literal 4/29 binary64))) |
(*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) |
#s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) |
#s(approx (+ x 4/29) #s(literal 4/29 binary64)) |
(/.f64 #s(literal 12/29 binary64) x) |
| Outputs |
|---|
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal -12/29 binary64) x)))) |
(*.f64 (*.f64 y x) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal -12/29 binary64) x))) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal -12/29 binary64) x)) x) y) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal -12/29 binary64) x)) (*.f64 y x)) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal -12/29 binary64) x)) y) x) |
(*.f64 y (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal -12/29 binary64) x)) x)) |
(*.f64 x (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal -12/29 binary64) x)) y)) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal 2 binary64))) x) y) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal -12/29 binary64) x))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal 3 binary64))) x) y) (-.f64 #s(literal 9 binary64) (/.f64 (+.f64 #s(literal -36/29 binary64) (/.f64 #s(literal -144/841 binary64) x)) x))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal 3 binary64))) y) x) (-.f64 #s(literal 9 binary64) (/.f64 (+.f64 #s(literal -36/29 binary64) (/.f64 #s(literal -144/841 binary64) x)) x))) |
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(-.f64 (/.f64 #s(literal -27 binary64) (+.f64 #s(literal -9 binary64) (/.f64 (+.f64 #s(literal -36/29 binary64) (/.f64 #s(literal -144/841 binary64) x)) x))) (/.f64 (pow.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal -9 binary64) (/.f64 (+.f64 #s(literal -36/29 binary64) (/.f64 #s(literal -144/841 binary64) x)) x)))) |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal -12/29 binary64) x)) |
(+.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -12/29 binary64) x))) (/.f64 (/.f64 #s(literal -144/841 binary64) x) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal -12/29 binary64) x)) x))) |
(+.f64 (/.f64 #s(literal -27 binary64) (+.f64 #s(literal -9 binary64) (/.f64 (+.f64 #s(literal -36/29 binary64) (/.f64 #s(literal -144/841 binary64) x)) x))) (/.f64 (pow.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal -9 binary64) (/.f64 (+.f64 #s(literal -36/29 binary64) (/.f64 #s(literal -144/841 binary64) x)) x)))) |
(+.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal 3 binary64)) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal -12/29 binary64) x)) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)) y) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 y (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(*.f64 (/.f64 y #s(approx (+ x 4/29) #s(literal 4/29 binary64))) #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) |
(*.f64 (neg.f64 y) (/.f64 #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) (neg.f64 #s(approx (+ x 4/29) #s(literal 4/29 binary64))))) |
(*.f64 (neg.f64 #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) (/.f64 y (neg.f64 #s(approx (+ x 4/29) #s(literal 4/29 binary64))))) |
(*.f64 (/.f64 #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) #s(approx (+ x 4/29) #s(literal 4/29 binary64))) y) |
(*.f64 #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) (/.f64 y #s(approx (+ x 4/29) #s(literal 4/29 binary64)))) |
(*.f64 y (/.f64 #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) #s(approx (+ x 4/29) #s(literal 4/29 binary64)))) |
(/.f64 (*.f64 (neg.f64 y) #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) (neg.f64 #s(approx (+ x 4/29) #s(literal 4/29 binary64)))) |
(/.f64 (*.f64 #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) y) #s(approx (+ x 4/29) #s(literal 4/29 binary64))) |
(neg.f64 (*.f64 (neg.f64 y) (/.f64 #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) #s(approx (+ x 4/29) #s(literal 4/29 binary64))))) |
(*.f64 (neg.f64 (neg.f64 y)) #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) |
(*.f64 (neg.f64 (neg.f64 #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)))) y) |
(*.f64 (neg.f64 y) (neg.f64 #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)))) |
(*.f64 (neg.f64 #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) (neg.f64 y)) |
(*.f64 #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) (neg.f64 (neg.f64 y))) |
(*.f64 #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) y) |
(*.f64 y (neg.f64 (neg.f64 #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))))) |
(*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) |
(neg.f64 (*.f64 (neg.f64 y) #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)))) |
#s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64)) |
#s(approx (+ x 4/29) #s(literal 4/29 binary64)) |
(neg.f64 (neg.f64 #s(approx (+ x 4/29) #s(literal 4/29 binary64)))) |
(pow.f64 (pow.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -12/29 binary64) x) |
(/.f64 #s(literal 12/29 binary64) x) |
(neg.f64 (/.f64 #s(literal -12/29 binary64) x)) |
(sqrt.f64 (pow.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal 2 binary64))) |
(fabs.f64 (/.f64 #s(literal -12/29 binary64) x)) |
(exp.f64 (/.f64 (*.f64 (log.f64 (/.f64 #s(literal -12/29 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -12/29 binary64) x)) #s(literal 1 binary64))) |
Compiled 3 635 to 564 computations (84.5% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 134 | 1 | 135 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 7 | 7 |
| Total | 134 | 11 | 145 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 47.1% | (/.f64 (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) #s(approx (+ x 4/29) #s(literal 4/29 binary64))) |
| ✓ | 99.2% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 99.5% | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
| ✓ | 47.0% | (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
| ✓ | 46.7% | (*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
| ✓ | 99.7% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
| ✓ | 54.6% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ✓ | 47.2% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ✓ | 54.5% | (*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64)) |
| ✓ | 88.7% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
| 54.5% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(approx (- 3 (/ 12/29 x)) #s(literal 3 binary64))) x)) |
Compiled 445 to 229 computations (48.5% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(approx (- 3 (/ 12/29 x)) #s(literal 3 binary64))) x)) |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) #s(approx (+ x 4/29) #s(literal 4/29 binary64))) |
(/.f64 (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64))) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) y) |
(/.f64 (*.f64 y (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64))) (+.f64 x #s(literal 4/29 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
5 calls:
| 8.0ms | x |
| 7.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 6.0ms | y |
| 6.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 6.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 99.7% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 99.7% | 1 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
Compiled 23 to 27 computations (-17.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(approx (- 3 (/ 12/29 x)) #s(literal 3 binary64))) x)) |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) #s(approx (+ x 4/29) #s(literal 4/29 binary64))) |
(/.f64 (*.f64 y #s(approx (* (- (* x x) 16/841) 3) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64))) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
| Outputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
5 calls:
| 6.0ms | x |
| 4.0ms | y |
| 4.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 4.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 4.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 99.7% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 99.7% | 1 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
Compiled 23 to 27 computations (-17.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(approx (- 3 (/ 12/29 x)) #s(literal 3 binary64))) x)) |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(approx (- 3 (/ 12/29 x)) #s(literal 3 binary64))) x)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
5 calls:
| 4.0ms | y |
| 3.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 3.0ms | x |
| 3.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 3.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | x |
| 54.6% | 1 | y |
| 79.0% | 3 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 97.6% | 3 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 97.6% | 3 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
Compiled 23 to 27 computations (-17.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
3 calls:
| 1.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 1.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | x |
| 97.6% | 3 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 97.6% | 3 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
Compiled 13 to 16 computations (-23.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| Outputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
5 calls:
| 1.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 1.0ms | y |
| 1.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 1.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.2% | 1 | y |
| 47.2% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 47.2% | 1 | x |
| 47.2% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 47.2% | 1 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
Compiled 23 to 27 computations (-17.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.13792920197213115 | 45.234890289543706 |
| 0.0ms | -1150805.5440601662 | -0.23660686012452908 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.13792920197213115 | 45.234890289543706 |
| 0.0ms | -1150805.5440601662 | -0.23660686012452908 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 126 |
| 1 | 46 | 126 |
| 2 | 62 | 126 |
| 3 | 71 | 126 |
| 4 | 73 | 126 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1000000 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(approx (- 3 (/ 12/29 x)) #s(literal 3 binary64))) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1000000 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1000000 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(approx (- 3 (/ 12/29 x)) #s(literal 3 binary64))) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1000000 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(if (or (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1000000 binary64)) (not (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)))) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 221 | 662 |
| 1 | 702 | 634 |
| 2 | 2599 | 569 |
| 0 | 8878 | 537 |
| 0 | 42 | 82 |
| 1 | 107 | 74 |
| 2 | 286 | 74 |
| 3 | 638 | 74 |
| 4 | 1679 | 74 |
| 5 | 2514 | 74 |
| 6 | 3672 | 74 |
| 7 | 4630 | 74 |
| 8 | 6201 | 74 |
| 0 | 8078 | 68 |
| 0 | 71 | 212 |
| 1 | 184 | 192 |
| 2 | 510 | 182 |
| 3 | 1721 | 182 |
| 4 | 4759 | 182 |
| 0 | 8121 | 173 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 186 to 90 computations (51.6% saved)
(negabs y)
Compiled 348 to 150 computations (56.9% saved)
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