
Time bar (total: 5.2s)
| 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)
| 582.0ms | 8 256× | 0 | valid |
ival-mult: 126.0ms (34.6% of total)ival-div: 122.0ms (33.5% of total)ival-sub: 93.0ms (25.6% of total)exact: 13.0ms (3.6% of total)ival-true: 6.0ms (1.6% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 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 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) | n*o | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 27.0ms | 478× | 0 | valid |
| 2.0ms | 22× | 1 | valid |
| 2.0ms | 12× | 2 | valid |
Compiled 71 to 31 computations (56.3% saved)
ival-mult: 7.0ms (43.4% of total)ival-div: 5.0ms (31% of total)ival-sub: 3.0ms (18.6% 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 |
|---|---|---|
| ▶ | 99.4% | (*.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 | 0.0 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) | |
| accuracy | 0.0859375 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) | |
| accuracy | 0.3940539080416754 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 13.0ms | 239× | 0 | valid |
| 1.0ms | 11× | 1 | valid |
| 1.0ms | 6× | 2 | valid |
Compiled 31 to 11 computations (64.5% saved)
ival-mult: 3.0ms (37.2% of total)ival-div: 2.0ms (24.8% of total)ival-sub: 1.0ms (12.4% 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 | |
|---|---|---|---|---|
| 19.0ms | y | @ | 0 | ((/ 16 116) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- x (/ 16 116))) |
| 1.0ms | 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 | 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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(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) y) #s(literal -3 binary64))) (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)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 257 | 8 | 265 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 258 | 8 | 266 |
| Status | Accuracy | Program |
|---|---|---|
| 83.1% | (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) | |
| ▶ | 70.1% | (/.f64 (*.f64 y (*.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)))) |
| ▶ | 99.3% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ▶ | 99.6% | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
| 99.4% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) | |
| ▶ | 44.4% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ▶ | 57.9% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| 44.8% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
Compiled 194 to 174 computations (10.3% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 y (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 y (*.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)))) | |
| cost-diff | 1 | (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 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))) | |
| 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 | #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 | (-.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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 138 |
| 0 | 46 | 138 |
| 1 | 73 | 138 |
| 2 | 129 | 138 |
| 3 | 243 | 138 |
| 4 | 374 | 138 |
| 5 | 483 | 138 |
| 6 | 602 | 138 |
| 7 | 659 | 138 |
| 8 | 685 | 138 |
| 9 | 758 | 138 |
| 10 | 859 | 138 |
| 11 | 929 | 138 |
| 12 | 955 | 138 |
| 13 | 988 | 138 |
| 14 | 1020 | 138 |
| 15 | 1049 | 138 |
| 0 | 1049 | 136 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.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 #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 #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 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 (*.f64 y (*.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)))) |
(*.f64 y (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64))) |
y |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 64/24389 binary64) |
(fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) |
(fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) |
#s(literal 4/29 binary64) |
#s(literal 16/841 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 (-.f64 x #s(literal 4/29 binary64)) y)) |
(*.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 #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 #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 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 (-.f64 x #s(literal 4/29 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 (*.f64 y (*.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)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 y (fma.f64 (-.f64 #s(literal -4/29 binary64) x) x #s(literal -16/841 binary64)))) |
(*.f64 y (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) y) |
y |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 64/24389 binary64) |
(fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) |
(fma.f64 (-.f64 x #s(literal -4/29 binary64)) x #s(literal 16/841 binary64)) |
(fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) |
(fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) |
#s(literal 4/29 binary64) |
#s(literal 16/841 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03125 | (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) | |
| accuracy | 0.046875 | (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) | |
| accuracy | 3.6281343477648558 | (*.f64 y (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64))) | |
| accuracy | 16.085511449816725 | (/.f64 (*.f64 y (*.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)))) | |
| accuracy | 0.0 | (-.f64 x #s(literal 4/29 binary64)) | |
| accuracy | 0.0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.467438923474948 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 3 binary64) x) | |
| accuracy | 0.3940539080416754 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) | |
| accuracy | 35.59041488666487 | #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) | |
| accuracy | 0.3940539080416754 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) | |
| accuracy | 27.044156419417476 | #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) | |
| accuracy | 0.0 | (-.f64 x #s(literal 4/29 binary64)) | |
| accuracy | 0.05078125 | (*.f64 y (-.f64 x #s(literal 4/29 binary64))) | |
| accuracy | 0.2734375 | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
| 115.0ms | 239× | 0 | valid |
| 5.0ms | 11× | 1 | valid |
| 3.0ms | 6× | 2 | valid |
Compiled 141 to 30 computations (78.7% saved)
ival-mult: 56.0ms (63.7% of total)const: 14.0ms (15.9% of total)ival-sub: 6.0ms (6.8% of total)ival-pow: 5.0ms (5.7% of total)ival-div: 4.0ms (4.5% of total)ival-add: 2.0ms (2.3% of total)adjust: 1.0ms (1.1% 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 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 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 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) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.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 y (*.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)))) |
(*.f64 y (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) |
(fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) |
| Outputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
-4/29 |
(- x 4/29) |
-12/29 |
(- (* 3 x) 12/29) |
(* 3 x) |
16/841 |
(+ 16/841 (* 4/29 x)) |
(+ 16/841 (* x (+ 4/29 x))) |
(+ (* -12/29 y) (* x (+ (* -3 (* x (+ (* -29/4 y) (* 29/4 y)))) (* 3 y)))) |
(+ (* -12/29 y) (* x (+ (* 3 y) (* x (+ (* -3 (+ (* -29/4 y) (* 29/4 y))) (* 87/4 (* x (+ (* -29/4 y) (* 29/4 y))))))))) |
(* -192/24389 y) |
(+ (* -192/24389 y) (* 3 (* (pow x 3) y))) |
-192/24389 |
(- (* 3 (pow x 3)) 192/24389) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x y) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 4/29 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (/ 16/841 (pow x 2)) (* 4/29 (/ 1 x))))) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y)))) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (+ (* 12/29 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 3))) (* 3 y))))) |
(* 3 (* (pow x 3) y)) |
(* (pow x 3) (+ (* -192/24389 (/ y (pow x 3))) (* 3 y))) |
(* 3 (pow x 3)) |
(* (pow x 3) (- 3 (* 192/24389 (/ 1 (pow x 3))))) |
(* 4/29 x) |
(* x (+ 4/29 (* 16/841 (/ 1 x)))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* -12/29 y)) x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 (/ (+ (* -12/29 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* 3 (+ (* -16/841 y) (* 16/841 y)))) x)) (* -12/29 y)) x))))) |
(* -1 (* (pow x 3) (+ (* -3 y) (* 192/24389 (/ y (pow x 3)))))) |
(* -1 (* (pow x 3) (- (* 192/24389 (/ 1 (pow x 3))) 3))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* 3 y) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
(* 3 (* y (- (pow x 3) 64/24389))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | x | @ | -inf | ((* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (- x 4/29) (* y 3)) (* y 3) (+ (* x x) (+ (* x 4/29) 16/841)) (/ (* y (* (- (pow x 3) 64/24389) 3)) (+ (* x x) (+ (* x 4/29) 16/841))) (* y (* (- (pow x 3) 64/24389) 3)) (* (- (pow x 3) 64/24389) 3) (+ (* x 4/29) 16/841)) |
| 3.0ms | y | @ | 0 | ((* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (- x 4/29) (* y 3)) (* y 3) (+ (* x x) (+ (* x 4/29) 16/841)) (/ (* y (* (- (pow x 3) 64/24389) 3)) (+ (* x x) (+ (* x 4/29) 16/841))) (* y (* (- (pow x 3) 64/24389) 3)) (* (- (pow x 3) 64/24389) 3) (+ (* x 4/29) 16/841)) |
| 2.0ms | x | @ | 0 | ((* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (- x 4/29) (* y 3)) (* y 3) (+ (* x x) (+ (* x 4/29) 16/841)) (/ (* y (* (- (pow x 3) 64/24389) 3)) (+ (* x x) (+ (* x 4/29) 16/841))) (* y (* (- (pow x 3) 64/24389) 3)) (* (- (pow x 3) 64/24389) 3) (+ (* x 4/29) 16/841)) |
| 2.0ms | x | @ | inf | ((* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (- x 4/29) (* y 3)) (* y 3) (+ (* x x) (+ (* x 4/29) 16/841)) (/ (* y (* (- (pow x 3) 64/24389) 3)) (+ (* x x) (+ (* x 4/29) 16/841))) (* y (* (- (pow x 3) 64/24389) 3)) (* (- (pow x 3) 64/24389) 3) (+ (* x 4/29) 16/841)) |
| 2.0ms | y | @ | inf | ((* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (- x 4/29) (* y 3)) (* y 3) (+ (* x x) (+ (* x 4/29) 16/841)) (/ (* y (* (- (pow x 3) 64/24389) 3)) (+ (* x x) (+ (* x 4/29) 16/841))) (* y (* (- (pow x 3) 64/24389) 3)) (* (- (pow x 3) 64/24389) 3) (+ (* x 4/29) 16/841)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 435 |
| 1 | 523 | 388 |
| 2 | 2254 | 377 |
| 0 | 8365 | 355 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
-4/29 |
(- x 4/29) |
-12/29 |
(- (* 3 x) 12/29) |
(* 3 x) |
16/841 |
(+ 16/841 (* 4/29 x)) |
(+ 16/841 (* x (+ 4/29 x))) |
(+ (* -12/29 y) (* x (+ (* -3 (* x (+ (* -29/4 y) (* 29/4 y)))) (* 3 y)))) |
(+ (* -12/29 y) (* x (+ (* 3 y) (* x (+ (* -3 (+ (* -29/4 y) (* 29/4 y))) (* 87/4 (* x (+ (* -29/4 y) (* 29/4 y))))))))) |
(* -192/24389 y) |
(+ (* -192/24389 y) (* 3 (* (pow x 3) y))) |
-192/24389 |
(- (* 3 (pow x 3)) 192/24389) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x y) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 4/29 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (/ 16/841 (pow x 2)) (* 4/29 (/ 1 x))))) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y)))) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (+ (* 12/29 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 3))) (* 3 y))))) |
(* 3 (* (pow x 3) y)) |
(* (pow x 3) (+ (* -192/24389 (/ y (pow x 3))) (* 3 y))) |
(* 3 (pow x 3)) |
(* (pow x 3) (- 3 (* 192/24389 (/ 1 (pow x 3))))) |
(* 4/29 x) |
(* x (+ 4/29 (* 16/841 (/ 1 x)))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* -12/29 y)) x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 (/ (+ (* -12/29 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* 3 (+ (* -16/841 y) (* 16/841 y)))) x)) (* -12/29 y)) x))))) |
(* -1 (* (pow x 3) (+ (* -3 y) (* 192/24389 (/ y (pow x 3)))))) |
(* -1 (* (pow x 3) (- (* 192/24389 (/ 1 (pow x 3))) 3))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* 3 y) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
(* 3 (* y (- (pow x 3) 64/24389))) |
| 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))) |
(* -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)) |
-12/29 |
#s(literal -12/29 binary64) |
(- (* 3 x) 12/29) |
(-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 12/29 binary64)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
16/841 |
#s(literal 16/841 binary64) |
(+ 16/841 (* 4/29 x)) |
(fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) |
(+ 16/841 (* x (+ 4/29 x))) |
(fma.f64 (+.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64)) |
(+ (* -12/29 y) (* x (+ (* -3 (* x (+ (* -29/4 y) (* 29/4 y)))) (* 3 y)))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 #s(literal 3 binary64) y)) x (*.f64 #s(literal -12/29 binary64) y)) |
(+ (* -12/29 y) (* x (+ (* 3 y) (* x (+ (* -3 (+ (* -29/4 y) (* 29/4 y))) (* 87/4 (* x (+ (* -29/4 y) (* 29/4 y))))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 0 binary64)) x (*.f64 #s(literal 3 binary64) y)) x (*.f64 #s(literal -12/29 binary64) y)) |
(* -192/24389 y) |
(*.f64 #s(literal -192/24389 binary64) y) |
(+ (* -192/24389 y) (* 3 (* (pow x 3) y))) |
(*.f64 y (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64))) |
-192/24389 |
#s(literal -192/24389 binary64) |
(- (* 3 (pow x 3)) 192/24389) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 192/24389 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal -3 binary64))) x) |
(* x y) |
(*.f64 x y) |
(* 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)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/29 binary64) x)) x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 4/29 (/ 1 x)))) |
(*.f64 x (fma.f64 (/.f64 #s(literal 4/29 binary64) x) x x)) |
(* (pow x 2) (+ 1 (+ (/ 16/841 (pow x 2)) (* 4/29 (/ 1 x))))) |
(*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 16/841 binary64) x) #s(literal 4/29 binary64)) x) x)) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (fma.f64 #s(literal -12/29 binary64) y (/.f64 #s(literal 0 binary64) x)) x)) x) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (+ (* 12/29 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 3))) (* 3 y))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -12/29 binary64) x) (+.f64 (/.f64 #s(literal 0 binary64) x) y) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) x) |
(* 3 (* (pow x 3) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 3 binary64)) |
(* (pow x 3) (+ (* -192/24389 (/ y (pow x 3))) (* 3 y))) |
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal -192/24389 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* 3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) |
(* (pow x 3) (- 3 (* 192/24389 (/ 1 (pow x 3))))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 192/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* 4/29 x) |
(*.f64 #s(literal 4/29 binary64) x) |
(* x (+ 4/29 (* 16/841 (/ 1 x)))) |
(*.f64 (+.f64 (/.f64 #s(literal 16/841 binary64) x) #s(literal 4/29 binary64)) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal -3 binary64))) x) |
(* -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 (* x (- (* 12/29 (/ 1 x)) 3))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* -12/29 y)) x))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (fma.f64 #s(literal -12/29 binary64) y (/.f64 #s(literal 0 binary64) x)) x)) x) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 (/ (+ (* -12/29 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* 3 (+ (* -16/841 y) (* 16/841 y)))) x)) (* -12/29 y)) x))))) |
(*.f64 (fma.f64 (neg.f64 y) #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal -12/29 binary64) y (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) x)) x)) x) |
(* -1 (* (pow x 3) (+ (* -3 y) (* 192/24389 (/ y (pow x 3)))))) |
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal -192/24389 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* 192/24389 (/ 1 (pow x 3))) 3))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 192/24389 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) |
(* 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) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) y) (/.f64 #s(literal 3 binary64) (fma.f64 (+.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64)))) |
(* 3 (* y (- (pow x 3) 64/24389))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) y) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 108 |
| 0 | 46 | 98 |
| 1 | 132 | 98 |
| 2 | 714 | 98 |
| 0 | 8518 | 97 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 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) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.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 y (*.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)))) |
(*.f64 y (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) |
(fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) |
| Outputs |
|---|
(*.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 (*.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 #s(literal 4/29 binary64) x)))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (-.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 #s(literal 3 binary64) (*.f64 y (-.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 x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)))) |
(*.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 (*.f64 x (+.f64 #s(literal 4/29 binary64) x)) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (-.f64 (*.f64 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)) #s(literal 3 binary64)) y) (-.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 4/29 binary64) x (-.f64 #s(literal 16/841 binary64) (*.f64 x x)))) |
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(fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) |
(-.f64 (/.f64 #s(literal 256/707281 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)))) |
(-.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64)))))) (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))))))) |
(-.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x)))) (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64)))) |
(-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -4/29 binary64) x)) |
(+.f64 (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64)))))) (/.f64 #s(literal 4096/594823321 binary64) (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))))))) |
(+.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64)))))) (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))))))) |
(+.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x)))) (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x))))) |
(+.f64 (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x)))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x))))) |
(+.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64)) |
(+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) |
Compiled 15 063 to 1 489 computations (90.1% saved)
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 459 | 5 | 464 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 462 | 10 | 472 |
| Status | Accuracy | Program |
|---|---|---|
| 83.1% | (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) | |
| 57.6% | (/.f64 (*.f64 y #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) | |
| ✓ | 99.6% | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
| ▶ | 57.7% | (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
| ▶ | 57.4% | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ▶ | 99.4% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
| ✓ | 44.4% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ✓ | 57.9% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ▶ | 44.8% | (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) |
| ▶ | 44.8% | #s(approx (* (* y (- x 4/29)) 3) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
Compiled 207 to 184 computations (11.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 y #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (* y (- x 4/29)) (*.f64 x y)) | |
| cost-diff | 0 | (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) y) x) | |
| cost-diff | 0 | #s(approx (* (* y (- x 4/29)) 3) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) | |
| 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 | 27 | 124 |
| 0 | 38 | 124 |
| 1 | 58 | 124 |
| 2 | 75 | 124 |
| 3 | 82 | 124 |
| 4 | 91 | 124 |
| 5 | 103 | 124 |
| 6 | 131 | 124 |
| 7 | 158 | 124 |
| 8 | 187 | 124 |
| 9 | 227 | 124 |
| 10 | 286 | 124 |
| 11 | 335 | 124 |
| 12 | 381 | 124 |
| 0 | 381 | 124 |
| 1× | iter limit |
| 1× | saturated |
| 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 |
#s(approx (* (* y (- x 4/29)) 3) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
x |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) |
#s(approx (* y (- x 4/29)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(literal 3 binary64) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(*.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) |
| 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 |
#s(approx (* (* y (- x 4/29)) 3) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
#s(approx (* (* y (- x 4/29)) 3) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
y |
x |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x 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 x y)) |
#s(approx (* y (- x 4/29)) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(literal 3 binary64) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(*.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) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05078125 | (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) | |
| accuracy | 0.2734375 | (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) | |
| accuracy | 27.030362227318133 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| accuracy | 0.0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.467438923474948 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 27.030362227318133 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.2734375 | (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) | |
| accuracy | 35.25023041250389 | #s(approx (* y (- x 4/29)) (*.f64 x y)) | |
| accuracy | 0.0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0.3993147577455148 | (*.f64 (*.f64 #s(literal 3 binary64) y) x) | |
| accuracy | 35.262001399421685 | #s(approx (* (* y (- x 4/29)) 3) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) | |
| accuracy | 0.0 | #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) | |
| accuracy | 0.0078125 | (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) | |
| accuracy | 0.3940539080416754 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
| 69.0ms | 239× | 0 | valid |
| 3.0ms | 11× | 1 | valid |
| 2.0ms | 6× | 2 | valid |
Compiled 97 to 24 computations (75.3% saved)
ival-mult: 42.0ms (69.5% of total)const: 10.0ms (16.5% of total)ival-sub: 3.0ms (5% of total)ival-div: 2.0ms (3.3% of total)adjust: 1.0ms (1.7% of total)ival-add: 1.0ms (1.7% 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)) |
#s(approx (* (* y (- x 4/29)) 3) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) |
#s(approx (* y (- x 4/29)) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(*.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))) |
| Outputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
-12/29 |
(- (* 3 x) 12/29) |
(* 3 (* x y)) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
(* x y) |
-4/29 |
(- x 4/29) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (+ y (* -4/29 (/ y 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 (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* 3 (* y (- x 4/29))) |
(* 3 y) |
(* y (- x 4/29)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* y (- x 4/29)) 3) (* (* 3 y) x) (* 3 y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29))) |
| 1.0ms | x | @ | -inf | ((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* y (- x 4/29)) 3) (* (* 3 y) x) (* 3 y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29))) |
| 1.0ms | y | @ | inf | ((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* y (- x 4/29)) 3) (* (* 3 y) x) (* 3 y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29))) |
| 1.0ms | x | @ | inf | ((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* y (- x 4/29)) 3) (* (* 3 y) x) (* 3 y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29))) |
| 1.0ms | x | @ | 0 | ((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* y (- x 4/29)) 3) (* (* 3 y) x) (* 3 y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 106 |
| 1 | 152 | 98 |
| 2 | 433 | 98 |
| 3 | 1007 | 98 |
| 4 | 2693 | 98 |
| 5 | 4123 | 98 |
| 6 | 4813 | 98 |
| 7 | 5013 | 98 |
| 8 | 5075 | 98 |
| 9 | 5105 | 98 |
| 10 | 6399 | 98 |
| 11 | 7415 | 98 |
| 0 | 8061 | 92 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
-12/29 |
(- (* 3 x) 12/29) |
(* 3 (* x y)) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
(* x y) |
-4/29 |
(- x 4/29) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (+ y (* -4/29 (/ y 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 (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* 3 (* y (- x 4/29))) |
(* 3 y) |
(* 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)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 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) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 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 (+ y (* -4/29 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
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 (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 103 |
| 0 | 38 | 103 |
| 1 | 86 | 103 |
| 2 | 311 | 103 |
| 3 | 2188 | 103 |
| 0 | 8964 | 103 |
| 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(approx (* (* y (- x 4/29)) 3) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) |
#s(approx (* y (- x 4/29)) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(*.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))) |
| 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 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) #s(literal 144/841 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) #s(literal -1728/24389 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)) (-.f64 (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) #s(literal 144/841 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) #s(literal 144/841 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))))) |
(/.f64 (+.f64 #s(literal -1728/24389 binary64) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (*.f64 #s(literal -12/29 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.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 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (-.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)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 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 (neg.f64 (fma.f64 #s(literal 19683 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 144/841 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) #s(literal 144/841 binary64))))) (neg.f64 (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 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (-.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)))) (neg.f64 (pow.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal -1728/24389 binary64)))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 144/841 binary64) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) (*.f64 (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) #s(literal -144/841 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) #s(literal 144/841 binary64))) (*.f64 (neg.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 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (neg.f64 (-.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)) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))) |
(/.f64 (fma.f64 #s(literal 1728/24389 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (*.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (*.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) |
(/.f64 (fma.f64 #s(literal -1728/24389 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))) |
(/.f64 (fma.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (*.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 1728/24389 binary64))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (*.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal -1728/24389 binary64))) (*.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal 1728/24389 binary64))) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))) |
(/.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) #s(literal -144/841 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) #s(literal 2 binary64))) (/.f64 (fma.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 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (-.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))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 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 (fma.f64 #s(literal 19683 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 144/841 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) #s(literal 144/841 binary64)))) (neg.f64 (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 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))) |
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(-.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) |
(-.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) |
(-.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 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)) |
(+.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))))) (/.f64 (pow.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal -1728/24389 binary64)) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 #s(literal -5159780352/14507145975869 binary64) (*.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 2985984/594823321 binary64) (*.f64 #s(literal -46656/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)) (*.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 2985984/594823321 binary64) (*.f64 #s(literal -46656/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)) (*.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 2985984/594823321 binary64) (*.f64 #s(literal -46656/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) (/.f64 #s(literal -5159780352/14507145975869 binary64) (*.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 2985984/594823321 binary64) (*.f64 #s(literal -46656/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 2985984/594823321 binary64) (*.f64 #s(literal -46656/24389 binary64) (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (/.f64 (/.f64 #s(literal -5159780352/14507145975869 binary64) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 2985984/594823321 binary64) (*.f64 #s(literal -46656/24389 binary64) (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) |
(+.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 9 binary64) x)) x) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(+.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 3 binary64)) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(+.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 #s(literal 144/841 binary64) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)) (*.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(+.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 9 binary64)) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(+.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal 3 binary64))) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(+.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9 binary64) x)) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(+.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(+.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(+.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) |
(+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)) |
(+.f64 #s(literal -12/29 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) |
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)) |
#s(approx (* (* y (- x 4/29)) 3) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) y) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(*.f64 y (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(*.f64 x (*.f64 y #s(literal 3 binary64))) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) #s(approx (* y (- x 4/29)) (*.f64 y x))) |
#s(approx (* y (- x 4/29)) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x y) |
(*.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)) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
(*.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 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) |
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
Compiled 4 922 to 699 computations (85.8% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 149 | 0 | 149 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 149 | 10 | 159 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.1% | (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) |
| ▶ | 57.6% | (/.f64 (*.f64 y #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) |
| ✓ | 99.6% | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
| ✓ | 57.7% | (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
| ✓ | 57.4% | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 99.4% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
| ✓ | 44.4% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ✓ | 57.9% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ✓ | 44.8% | (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) |
| ✓ | 44.8% | #s(approx (* (* y (- x 4/29)) 3) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
Compiled 119 to 107 computations (10.1% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) | |
| cost-diff | 0 | #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) | |
| cost-diff | 0 | (*.f64 y #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 y #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) | |
| cost-diff | 1 | (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 100 |
| 0 | 32 | 100 |
| 1 | 54 | 100 |
| 2 | 114 | 100 |
| 3 | 220 | 100 |
| 4 | 332 | 100 |
| 5 | 381 | 100 |
| 6 | 435 | 100 |
| 7 | 494 | 100 |
| 8 | 569 | 100 |
| 9 | 671 | 100 |
| 10 | 739 | 100 |
| 11 | 749 | 100 |
| 12 | 766 | 100 |
| 13 | 796 | 100 |
| 14 | 830 | 100 |
| 15 | 834 | 100 |
| 0 | 834 | 98 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 y #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) |
(*.f64 y #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64))) |
y |
#s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) |
#s(literal -192/24389 binary64) |
(fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) |
x |
(fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) |
#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 x #s(literal 4/29 binary64))) |
(*.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)) y) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
(*.f64 x x) |
x |
#s(literal 16/841 binary64) |
y |
#s(literal 3 binary64) |
(+.f64 x #s(literal 4/29 binary64)) |
#s(literal 4/29 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 y #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) y) (fma.f64 (-.f64 x #s(literal -4/29 binary64)) x #s(literal 16/841 binary64))) |
(*.f64 y #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64))) |
(*.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) y) |
y |
#s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) |
#s(literal -192/24389 binary64) |
(fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) |
(fma.f64 (-.f64 x #s(literal -4/29 binary64)) x #s(literal 16/841 binary64)) |
x |
(fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) |
(fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) |
#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 x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 y (+.f64 #s(literal 4/29 binary64) x)) (*.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)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
(*.f64 x x) |
x |
#s(literal 16/841 binary64) |
y |
#s(literal 3 binary64) |
(+.f64 x #s(literal 4/29 binary64)) |
(+.f64 #s(literal 4/29 binary64) x) |
#s(literal 4/29 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) | |
| accuracy | 0.25390625 | (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) | |
| accuracy | 4.164499512677606 | (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) | |
| accuracy | 6.729355907182298 | (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) | |
| accuracy | 0.046875 | (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) | |
| accuracy | 3.6281343477648558 | (*.f64 y #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64))) | |
| accuracy | 16.085511449816725 | (/.f64 (*.f64 y #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) | |
| accuracy | 26.855957863970332 | #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) |
| 53.0ms | 256× | 0 | valid |
Compiled 101 to 23 computations (77.2% saved)
const: 13.0ms (33.9% of total)ival-mult: 9.0ms (23.5% of total)ival-pow: 5.0ms (13% of total)ival-sub: 4.0ms (10.4% of total)ival-div: 3.0ms (7.8% of total)ival-add: 3.0ms (7.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) |
(/.f64 (*.f64 y #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) |
(*.f64 y #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64))) |
#s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 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 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
(fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) |
| Outputs |
|---|
16/841 |
(+ 16/841 (* 4/29 x)) |
(+ 16/841 (* x (+ 4/29 x))) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* x (+ (* -3 (* x (+ (* -29/4 y) (* 29/4 y)))) (* 3 y)))) |
(+ (* -12/29 y) (* x (+ (* 3 y) (* x (+ (* -3 (+ (* -29/4 y) (* 29/4 y))) (* 87/4 (* x (+ (* -29/4 y) (* 29/4 y))))))))) |
(* -192/24389 y) |
(+ (* -192/24389 y) (* 3 (* (pow x 3) y))) |
-192/24389 |
(- (* 3 (pow x 3)) 192/24389) |
(* -48/841 y) |
(+ (* -48/841 y) (* 3 (* (pow x 2) y))) |
(* -16/841 y) |
(+ (* -16/841 y) (* (pow x 2) y)) |
-16/841 |
(- (pow x 2) 16/841) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 4/29 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (/ 16/841 (pow x 2)) (* 4/29 (/ 1 x))))) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y)))) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (+ (* 12/29 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 3))) (* 3 y))))) |
(* 3 (* (pow x 3) y)) |
(* (pow x 3) (+ (* -192/24389 (/ y (pow x 3))) (* 3 y))) |
(* 3 (pow x 3)) |
(* (pow x 3) (- 3 (* 192/24389 (/ 1 (pow x 3))))) |
(* 3 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(* (pow x 2) y) |
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2))))) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* 4/29 x) |
(* x (+ 4/29 (* 16/841 (/ 1 x)))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* -12/29 y)) x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 (/ (+ (* -12/29 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* 3 (+ (* -16/841 y) (* 16/841 y)))) x)) (* -12/29 y)) x))))) |
(* -1 (* (pow x 3) (+ (* -3 y) (* 192/24389 (/ y (pow x 3)))))) |
(* -1 (* (pow x 3) (- (* 192/24389 (/ 1 (pow x 3))) 3))) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
(* 3 (* y (- (pow x 3) 64/24389))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (* y (- (pow x 2) 16/841))) |
(* y (- (pow x 2) 16/841)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | y | @ | inf | ((+ (* x x) (+ (* x 4/29) 16/841)) (/ (* y (* (- (pow x 3) 64/24389) 3)) (+ (* x x) (+ (* x 4/29) 16/841))) (* y (* (- (pow x 3) 64/24389) 3)) (* (- (pow x 3) 64/24389) 3) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841) (+ (* x 4/29) 16/841)) |
| 4.0ms | x | @ | 0 | ((+ (* x x) (+ (* x 4/29) 16/841)) (/ (* y (* (- (pow x 3) 64/24389) 3)) (+ (* x x) (+ (* x 4/29) 16/841))) (* y (* (- (pow x 3) 64/24389) 3)) (* (- (pow x 3) 64/24389) 3) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841) (+ (* x 4/29) 16/841)) |
| 3.0ms | y | @ | -inf | ((+ (* x x) (+ (* x 4/29) 16/841)) (/ (* y (* (- (pow x 3) 64/24389) 3)) (+ (* x x) (+ (* x 4/29) 16/841))) (* y (* (- (pow x 3) 64/24389) 3)) (* (- (pow x 3) 64/24389) 3) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841) (+ (* x 4/29) 16/841)) |
| 3.0ms | y | @ | 0 | ((+ (* x x) (+ (* x 4/29) 16/841)) (/ (* y (* (- (pow x 3) 64/24389) 3)) (+ (* x x) (+ (* x 4/29) 16/841))) (* y (* (- (pow x 3) 64/24389) 3)) (* (- (pow x 3) 64/24389) 3) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841) (+ (* x 4/29) 16/841)) |
| 2.0ms | x | @ | inf | ((+ (* x x) (+ (* x 4/29) 16/841)) (/ (* y (* (- (pow x 3) 64/24389) 3)) (+ (* x x) (+ (* x 4/29) 16/841))) (* y (* (- (pow x 3) 64/24389) 3)) (* (- (pow x 3) 64/24389) 3) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841) (+ (* x 4/29) 16/841)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 457 |
| 1 | 515 | 408 |
| 2 | 2264 | 395 |
| 0 | 8338 | 372 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
16/841 |
(+ 16/841 (* 4/29 x)) |
(+ 16/841 (* x (+ 4/29 x))) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* x (+ (* -3 (* x (+ (* -29/4 y) (* 29/4 y)))) (* 3 y)))) |
(+ (* -12/29 y) (* x (+ (* 3 y) (* x (+ (* -3 (+ (* -29/4 y) (* 29/4 y))) (* 87/4 (* x (+ (* -29/4 y) (* 29/4 y))))))))) |
(* -192/24389 y) |
(+ (* -192/24389 y) (* 3 (* (pow x 3) y))) |
-192/24389 |
(- (* 3 (pow x 3)) 192/24389) |
(* -48/841 y) |
(+ (* -48/841 y) (* 3 (* (pow x 2) y))) |
(* -16/841 y) |
(+ (* -16/841 y) (* (pow x 2) y)) |
-16/841 |
(- (pow x 2) 16/841) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 4/29 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (/ 16/841 (pow x 2)) (* 4/29 (/ 1 x))))) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y)))) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (+ (* 12/29 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 3))) (* 3 y))))) |
(* 3 (* (pow x 3) y)) |
(* (pow x 3) (+ (* -192/24389 (/ y (pow x 3))) (* 3 y))) |
(* 3 (pow x 3)) |
(* (pow x 3) (- 3 (* 192/24389 (/ 1 (pow x 3))))) |
(* 3 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(* (pow x 2) y) |
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2))))) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* 4/29 x) |
(* x (+ 4/29 (* 16/841 (/ 1 x)))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* -12/29 y)) x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 (/ (+ (* -12/29 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* 3 (+ (* -16/841 y) (* 16/841 y)))) x)) (* -12/29 y)) x))))) |
(* -1 (* (pow x 3) (+ (* -3 y) (* 192/24389 (/ y (pow x 3)))))) |
(* -1 (* (pow x 3) (- (* 192/24389 (/ 1 (pow x 3))) 3))) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
(* 3 (* y (- (pow x 3) 64/24389))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (* y (- (pow x 2) 16/841))) |
(* y (- (pow x 2) 16/841)) |
| Outputs |
|---|
16/841 |
#s(literal 16/841 binary64) |
(+ 16/841 (* 4/29 x)) |
(fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) |
(+ 16/841 (* x (+ 4/29 x))) |
(fma.f64 (+.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64)) |
(* -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 y) (* x (+ (* -3 (* x (+ (* -29/4 y) (* 29/4 y)))) (* 3 y)))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 #s(literal 3 binary64) y)) x (*.f64 #s(literal -12/29 binary64) y)) |
(+ (* -12/29 y) (* x (+ (* 3 y) (* x (+ (* -3 (+ (* -29/4 y) (* 29/4 y))) (* 87/4 (* x (+ (* -29/4 y) (* 29/4 y))))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 0 binary64)) x (*.f64 #s(literal 3 binary64) y)) x (*.f64 #s(literal -12/29 binary64) y)) |
(* -192/24389 y) |
(*.f64 #s(literal -192/24389 binary64) y) |
(+ (* -192/24389 y) (* 3 (* (pow x 3) y))) |
(*.f64 y (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64))) |
-192/24389 |
#s(literal -192/24389 binary64) |
(- (* 3 (pow x 3)) 192/24389) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 192/24389 binary64)) |
(* -48/841 y) |
(*.f64 #s(literal -48/841 binary64) y) |
(+ (* -48/841 y) (* 3 (* (pow x 2) y))) |
(*.f64 y (fma.f64 (*.f64 #s(literal 3 binary64) x) x #s(literal -48/841 binary64))) |
(* -16/841 y) |
(*.f64 #s(literal -16/841 binary64) y) |
(+ (* -16/841 y) (* (pow x 2) y)) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) |
-16/841 |
#s(literal -16/841 binary64) |
(- (pow x 2) 16/841) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 4/29 (/ 1 x)))) |
(*.f64 x (fma.f64 x (/.f64 #s(literal 4/29 binary64) x) x)) |
(* (pow x 2) (+ 1 (+ (/ 16/841 (pow x 2)) (* 4/29 (/ 1 x))))) |
(*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 16/841 binary64) x) #s(literal 4/29 binary64)) x) x)) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal 3 binary64))) x) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (fma.f64 #s(literal -12/29 binary64) y (/.f64 #s(literal 0 binary64) x)) x)) x) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (+ (* 12/29 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 3))) (* 3 y))))) |
(*.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal 0 binary64) x) #s(literal -12/29 binary64)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) x) |
(* 3 (* (pow x 3) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 3 binary64)) |
(* (pow x 3) (+ (* -192/24389 (/ y (pow x 3))) (* 3 y))) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 192/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64))) |
(* 3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) |
(* (pow x 3) (- 3 (* 192/24389 (/ 1 (pow x 3))))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 192/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 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 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal -48/841 binary64) (*.f64 x x)) #s(literal 3 binary64))) x) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -16/841 binary64) y) x) x) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (*.f64 x x))) x) x) |
(* 4/29 x) |
(*.f64 #s(literal 4/29 binary64) x) |
(* x (+ 4/29 (* 16/841 (/ 1 x)))) |
(*.f64 (+.f64 (/.f64 #s(literal 16/841 binary64) x) #s(literal 4/29 binary64)) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal 3 binary64))) x) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* -12/29 y)) x))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (fma.f64 #s(literal -12/29 binary64) y (/.f64 #s(literal 0 binary64) x)) x)) x) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 (/ (+ (* -12/29 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* 3 (+ (* -16/841 y) (* 16/841 y)))) x)) (* -12/29 y)) x))))) |
(*.f64 (fma.f64 (neg.f64 y) #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal -12/29 binary64) y (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) x)) x)) x) |
(* -1 (* (pow x 3) (+ (* -3 y) (* 192/24389 (/ y (pow x 3)))))) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 192/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* 192/24389 (/ 1 (pow x 3))) 3))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 192/24389 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) y) (/.f64 #s(literal 3 binary64) (fma.f64 (+.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64)))) |
(* 3 (* y (- (pow x 3) 64/24389))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) y) #s(literal 3 binary64)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) (/.f64 #s(literal 3 binary64) (+.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)) |
(* y (- (pow x 2) 16/841)) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 84 |
| 0 | 32 | 84 |
| 1 | 123 | 84 |
| 2 | 809 | 84 |
| 0 | 8598 | 82 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) |
(/.f64 (*.f64 y #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) |
(*.f64 y #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64))) |
#s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 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 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
(fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64)))) (*.f64 (/.f64 (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 (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))))) (fma.f64 (neg.f64 x) (+.f64 #s(literal 4/29 binary64) x) #s(literal -16/841 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 4/29 binary64) x (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 4/29 binary64) x (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 4/29 binary64) x (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 4/29 binary64) x (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 4/29 binary64) x (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 4/29 binary64) x (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))))) (*.f64 (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))))) #s(literal 4096/594823321 binary64))) (pow.f64 (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))))) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64)))) |
(/.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -4096/594823321 binary64)) (neg.f64 (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) |
(/.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64)))))) |
(neg.f64 (fma.f64 #s(literal -4/29 binary64) x #s(literal -16/841 binary64))) |
(fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) |
(fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) |
(-.f64 (/.f64 #s(literal 256/707281 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)))) |
(-.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64)))))) (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64)))) |
(-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -4/29 binary64) x)) |
(+.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64)))))) (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))))))) |
(+.f64 (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64)))))) (/.f64 #s(literal 4096/594823321 binary64) (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))))))) |
(+.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64)) |
(+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) |
Compiled 9 002 to 1 043 computations (88.4% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 278 | 2 | 280 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 8 | 8 |
| Total | 280 | 10 | 290 |
| Status | Accuracy | Program |
|---|---|---|
| 28.3% | (/.f64 (*.f64 #s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) | |
| 57.3% | (/.f64 (*.f64 y #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64))) #s(approx (+ (* x x) (+ (* x 4/29) 16/841)) #s(literal 16/841 binary64))) | |
| ✓ | 99.6% | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
| ✓ | 57.7% | (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
| ✓ | 57.4% | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 99.4% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
| ✓ | 44.4% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ✓ | 57.9% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ✓ | 44.8% | (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) |
| ✓ | 44.8% | #s(approx (* (* y (- x 4/29)) 3) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
Compiled 338 to 199 computations (41.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* y (- x 4/29)) 3) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 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 (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64))) #s(approx (+ (* x x) (+ (* x 4/29) 16/841)) #s(literal 16/841 binary64))) |
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(/.f64 (*.f64 y #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 #s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) #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 y (*.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)))) |
| Outputs |
|---|
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
5 calls:
| 29.0ms | x |
| 7.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 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 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 99.6% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 99.6% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 99.6% | 1 | x |
| 99.6% | 1 | y |
Compiled 23 to 27 computations (-17.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* y (- x 4/29)) 3) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 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) |
| Outputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
5 calls:
| 3.0ms | y |
| 3.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 3.0ms | x |
| 2.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 2.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 99.4% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 99.4% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 99.4% | 1 | x |
| 99.4% | 1 | y |
Compiled 23 to 27 computations (-17.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* y (- x 4/29)) 3) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (* (* y (- x 4/29)) 3) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* y (- x 4/29)) 3) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
5 calls:
| 3.0ms | y |
| 2.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 2.0ms | x |
| 2.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 2.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 98.3% | 3 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 83.3% | 3 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 98.3% | 3 | x |
| 61.3% | 2 | y |
Compiled 23 to 27 computations (-17.4% 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 | x |
| 1.0ms | y |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.9% | 1 | y |
| 57.9% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 57.9% | 1 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 57.9% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 57.9% | 1 | x |
Compiled 23 to 27 computations (-17.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 6.358164616257488e-8 | 1305.1561786351133 |
| 27.0ms | -4117446.594357437 | -5.138252213454792e-7 |
| 21.0ms | 320× | 0 | valid |
Compiled 492 to 494 computations (-0.4% saved)
ival-mult: 4.0ms (44.5% of total)ival-div: 3.0ms (33.3% of total)ival-sub: 2.0ms (22.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 59 |
| 1 | 38 | 59 |
| 2 | 49 | 59 |
| 3 | 51 | 59 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 y (-.f64 x #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) |
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) #s(approx (* (* y (- x 4/29)) 3) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* y (- x 4/29)) 3) (*.f64 (*.f64 #s(literal 3 binary64) y) x)))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| Outputs |
|---|
(*.f64 (*.f64 y (-.f64 x #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) |
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) #s(approx (* (* y (- x 4/29)) 3) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* y (- x 4/29)) 3) (*.f64 (*.f64 #s(literal 3 binary64) y) x)))) |
(if (or (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (not (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)))) #s(approx (* (* y (- x 4/29)) 3) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (*.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 | 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 | 152 | 435 |
| 1 | 523 | 388 |
| 2 | 2254 | 377 |
| 0 | 8365 | 355 |
| 0 | 9 | 16 |
| 0 | 14 | 16 |
| 1 | 32 | 16 |
| 2 | 135 | 16 |
| 3 | 968 | 16 |
| 0 | 8469 | 16 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 132 to 82 computations (37.9% saved)
(negabs y)
Compiled 176 to 112 computations (36.4% saved)
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