
Time bar (total: 4.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 11 computations (0% saved)
| 645.0ms | 8 256× | 0 | valid |
ival-div: 125.0ms (41.7% of total)ival-mult: 115.0ms (38.4% of total)ival-sub: 37.0ms (12.4% of total)exact: 11.0ms (3.7% of total)ival-true: 5.0ms (1.7% of total)ival-assert: 3.0ms (1% of total)adjust: 2.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 16 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 116 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 88.0ms | 470× | 0 | valid |
| 3.0ms | 18× | 2 | valid |
| 3.0ms | 24× | 1 | valid |
Compiled 71 to 31 computations (56.3% saved)
ival-mult: 7.0ms (43.2% of total)ival-div: 5.0ms (30.9% of total)ival-sub: 3.0ms (18.5% of total)adjust: 1.0ms (6.2% of total)exact: 1.0ms (6.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 41 |
| 1 | 41 | 37 |
| 2 | 93 | 37 |
| 3 | 161 | 37 |
| 4 | 197 | 37 |
| 5 | 209 | 37 |
| 0 | 9 | 7 |
| 0 | 14 | 7 |
| 1 | 18 | 7 |
| 2 | 25 | 7 |
| 3 | 27 | 7 |
| 0 | 27 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 y (*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64)))) |
(negabs y)
Compiled 9 to 9 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
Compiled 9 to 9 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) | |
| cost-diff | 0 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) | |
| cost-diff | 2 | (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 0 | 14 | 21 |
| 1 | 18 | 21 |
| 2 | 25 | 21 |
| 3 | 27 | 21 |
| 0 | 27 | 21 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
x |
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
#s(literal 16 binary64) |
#s(literal 116 binary64) |
#s(literal 3 binary64) |
y |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 y (*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64))) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
#s(literal 4/29 binary64) |
#s(literal 16 binary64) |
#s(literal 116 binary64) |
#s(literal 3 binary64) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) | |
| accuracy | 0.0 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) | |
| accuracy | 0.1015625 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) | |
| accuracy | 0.171875 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 16.0ms | 235× | 0 | valid |
| 1.0ms | 9× | 2 | valid |
| 1.0ms | 12× | 1 | valid |
Compiled 31 to 11 computations (64.5% saved)
ival-mult: 3.0ms (38% of total)ival-div: 2.0ms (25.3% of total)adjust: 1.0ms (12.7% of total)ival-sub: 1.0ms (12.7% 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(literal 16 binary64) #s(literal 116 binary64)) |
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Outputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
-12/29 |
(- (* 3 x) 12/29) |
-4/29 |
(- x 4/29) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* 3 (* y (- x 4/29))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((/ 16 116) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- x (/ 16 116))) |
| 1.0ms | x | @ | -inf | ((/ 16 116) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- x (/ 16 116))) |
| 1.0ms | y | @ | 0 | ((/ 16 116) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- x (/ 16 116))) |
| 1.0ms | x | @ | 0 | ((/ 16 116) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- x (/ 16 116))) |
| 1.0ms | y | @ | inf | ((/ 16 116) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- x (/ 16 116))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 82 |
| 1 | 107 | 74 |
| 2 | 286 | 74 |
| 3 | 638 | 74 |
| 4 | 1679 | 74 |
| 5 | 2514 | 74 |
| 6 | 3672 | 74 |
| 7 | 4630 | 74 |
| 8 | 6201 | 74 |
| 0 | 8078 | 68 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
-12/29 |
(- (* 3 x) 12/29) |
-4/29 |
(- x 4/29) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* 3 (* y (- x 4/29))) |
| Outputs |
|---|
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
-12/29 |
#s(literal -12/29 binary64) |
(- (* 3 x) 12/29) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 1 binary64))) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 0 | 14 | 16 |
| 1 | 32 | 16 |
| 2 | 135 | 16 |
| 3 | 968 | 16 |
| 0 | 8469 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Outputs |
|---|
#s(literal 4/29 binary64) |
(*.f64 (/.f64 y (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal -4/29 binary64) (neg.f64 x)))) |
(*.f64 (/.f64 y (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) |
(*.f64 (/.f64 y (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(*.f64 (/.f64 y (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -4/29 binary64) (neg.f64 x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 y (+.f64 #s(literal -4/29 binary64) (neg.f64 x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 y (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 y (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 y (+.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (neg.f64 (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) |
(*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 #s(literal -4/29 binary64) (neg.f64 x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (*.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal -3 binary64)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) y) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(*.f64 y (*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64))) y) |
(*.f64 #s(literal 3 binary64) (*.f64 y (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 y (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal -4/29 binary64) (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 y (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
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(fma.f64 x (/.f64 x (+.f64 x #s(literal 4/29 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (-.f64 x #s(literal 4/29 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 x x #s(literal 16/841 binary64)) (+.f64 x #s(literal 4/29 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 x x #s(literal 16/841 binary64)) (+.f64 x #s(literal 4/29 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 4/29 binary64))) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 64/24389 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (+.f64 x #s(literal 4/29 binary64)))) (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (+.f64 x #s(literal 4/29 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x #s(literal 4/29 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x #s(literal 4/29 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) (/.f64 #s(literal 262144/14507145975869 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (+.f64 x #s(literal 4/29 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 x #s(literal 4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (-.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 x #s(literal 4/29 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal -4096/594823321 binary64) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal -262144/14507145975869 binary64) (+.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(-.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(-.f64 x #s(literal 4/29 binary64)) |
(+.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 4/29 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64)))))) |
(+.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 4/29 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (-.f64 x #s(literal 4/29 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal -64/24389 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64))))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 64/24389 binary64) (-.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
Compiled 8 401 to 1 021 computations (87.8% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 255 | 10 | 265 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 256 | 10 | 266 |
| Status | Accuracy | Program |
|---|---|---|
| 61.8% | (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64)) (*.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (+.f64 x #s(literal 4/29 binary64)))) | |
| 65.0% | (/.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)))) | |
| 81.3% | (/.f64 (*.f64 y (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64))) (+.f64 x #s(literal 4/29 binary64))) | |
| ▶ | 67.5% | (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
| ▶ | 99.6% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| 99.5% | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) | |
| ▶ | 99.7% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
| ▶ | 52.2% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ▶ | 50.0% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| 52.2% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
Compiled 264 to 230 computations (12.9% 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 (*.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 | 0 | (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) | |
| 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 | (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 | 30 | 155 |
| 0 | 47 | 155 |
| 1 | 74 | 155 |
| 2 | 141 | 155 |
| 3 | 263 | 155 |
| 4 | 395 | 155 |
| 5 | 502 | 155 |
| 6 | 616 | 155 |
| 7 | 671 | 155 |
| 8 | 694 | 155 |
| 9 | 767 | 155 |
| 10 | 868 | 155 |
| 11 | 935 | 155 |
| 12 | 965 | 155 |
| 13 | 1002 | 155 |
| 14 | 1043 | 155 |
| 15 | 1078 | 155 |
| 0 | 1078 | 152 |
| 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 |
(*.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 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) |
(*.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) |
y |
| Outputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
(*.f64 y #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal -12/29 binary64) |
y |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
#s(literal -12/29 binary64) |
y |
(*.f64 #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 (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64)) y) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
(*.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 (*.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))) (fma.f64 (-.f64 #s(literal -4/29 binary64) x) x #s(literal -16/841 binary64))) |
(*.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) |
y |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0390625 | (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) | |
| accuracy | 0.04296875 | (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) | |
| accuracy | 0.171875 | (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) | |
| accuracy | 20.97418407271374 | (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) | |
| accuracy | 0.0 | (-.f64 x #s(literal 4/29 binary64)) | |
| accuracy | 0.0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.28515625 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 3 binary64) x) | |
| accuracy | 0.171875 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) | |
| accuracy | 30.80997129380049 | #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) | |
| accuracy | 0.171875 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) | |
| accuracy | 32.12337149031402 | #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) | |
| accuracy | 0.0 | #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) | |
| accuracy | 0.171875 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
| 97.0ms | 214× | 0 | valid |
| 15.0ms | 33× | 1 | valid |
| 10.0ms | 9× | 2 | valid |
Compiled 155 to 29 computations (81.3% saved)
ival-mult: 53.0ms (51.2% of total)ival-add: 15.0ms (14.5% of total)const: 13.0ms (12.6% of total)ival-div: 8.0ms (7.7% of total)ival-pow: 5.0ms (4.8% of total)adjust: 4.0ms (3.9% of total)ival-sub: 4.0ms (3.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
(*.f64 #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 x #s(literal 4/29 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 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) |
(*.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))) |
-12/29 |
(- (* 3 x) 12/29) |
(* 3 x) |
-4/29 |
(- x 4/29) |
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 |
(- (* 3 (pow x 3)) 192/24389) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
x |
(* x (- 1 (* 4/29 (/ 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)) |
(* (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 (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -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) (- (* 192/24389 (/ 1 (pow x 3))) 3))) |
(* 3 (* y (- x 4/29))) |
(* 3 y) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | -inf | ((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (+ (* x x) (+ (* x 4/29) 16/841)) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) (* (- (pow x 3) 64/24389) 3) (+ (* x 4/29) 16/841)) |
| 3.0ms | x | @ | -inf | ((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (+ (* x x) (+ (* x 4/29) 16/841)) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) (* (- (pow x 3) 64/24389) 3) (+ (* x 4/29) 16/841)) |
| 2.0ms | x | @ | 0 | ((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (+ (* x x) (+ (* x 4/29) 16/841)) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) (* (- (pow x 3) 64/24389) 3) (+ (* x 4/29) 16/841)) |
| 2.0ms | x | @ | inf | ((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (+ (* x x) (+ (* x 4/29) 16/841)) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) (* (- (pow x 3) 64/24389) 3) (+ (* x 4/29) 16/841)) |
| 2.0ms | y | @ | 0 | ((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (+ (* x x) (+ (* x 4/29) 16/841)) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) (* (- (pow x 3) 64/24389) 3) (+ (* x 4/29) 16/841)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 256 |
| 1 | 432 | 250 |
| 2 | 1865 | 236 |
| 0 | 9104 | 226 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
-12/29 |
(- (* 3 x) 12/29) |
(* 3 x) |
-4/29 |
(- x 4/29) |
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 |
(- (* 3 (pow x 3)) 192/24389) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
x |
(* x (- 1 (* 4/29 (/ 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)) |
(* (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 (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -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) (- (* 192/24389 (/ 1 (pow x 3))) 3))) |
(* 3 (* y (- x 4/29))) |
(* 3 y) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
| Outputs |
|---|
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
-12/29 |
#s(literal -12/29 binary64) |
(- (* 3 x) 12/29) |
(-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 12/29 binary64)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
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)))) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(+ (* -12/29 y) (* x (+ (* 3 y) (* x (+ (* -3 (+ (* -29/4 y) (* 29/4 y))) (* 87/4 (* x (+ (* -29/4 y) (* 29/4 y))))))))) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 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 y #s(literal 3 binary64)) x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) x) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(fma.f64 (/.f64 #s(literal -4/29 binary64) x) 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 (/.f64 (+.f64 (/.f64 #s(literal 16/841 binary64) x) #s(literal 4/29 binary64)) x) x x)) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y)))) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) 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 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(* 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)))) |
(fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* -12/29 y)) x))))) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) 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 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(* -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)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) y) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 128 |
| 0 | 47 | 118 |
| 1 | 147 | 108 |
| 2 | 854 | 108 |
| 0 | 8588 | 107 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
(*.f64 #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 x #s(literal 4/29 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 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) |
(*.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 y #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (*.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x))))) (*.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) (/.f64 #s(literal -1728/24389 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))))) (-.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) (/.f64 #s(literal -1728/24389 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))))) |
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(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) #s(literal -3 binary64)) |
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(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (-.f64 (pow.f64 x #s(literal 9 binary64)) #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)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 262144/14507145975869 binary64)) #s(literal 3 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)))) |
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 262144/14507145975869 binary64))) (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 4096/594823321 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 262144/14507145975869 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 4096/594823321 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(neg.f64 (*.f64 #s(literal -3 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) |
(/.f64 (-.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 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64)))) (*.f64 (/.f64 #s(literal 256/707281 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 (/.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 (-.f64 (*.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 (*.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 #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 #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 (*.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 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) #s(literal 3 binary64))) (fma.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 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) (fma.f64 (/.f64 #s(literal 256/707281 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 (/.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 (-.f64 #s(literal 4096/594823321 binary64) (pow.f64 (*.f64 #s(literal -4/29 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 256/707281 binary64) (fma.f64 (*.f64 #s(literal 16/841 binary64) x) x (*.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -4/29 binary64) x))))) |
(/.f64 (+.f64 (pow.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)))) #s(literal 3 binary64)) (pow.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)))) #s(literal 3 binary64))) (fma.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 (*.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 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 #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 (*.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 (neg.f64 (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (neg.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -4096/594823321 binary64))) (neg.f64 (neg.f64 (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 (*.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))) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x))) #s(literal 4096/594823321 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x))) #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 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -4096/594823321 binary64)) (neg.f64 (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)) #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)))))) |
(/.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #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)))) |
(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 #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 10 843 to 1 350 computations (87.5% saved)
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 334 | 6 | 340 |
| Fresh | 4 | 1 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 340 | 10 | 350 |
| Status | Accuracy | Program |
|---|---|---|
| 49.7% | (*.f64 (/.f64 #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)))) y) | |
| 66.5% | (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 y (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))))) | |
| ▶ | 99.5% | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
| ▶ | 49.9% | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 99.7% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
| ✓ | 52.2% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ✓ | 50.0% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ▶ | 85.8% | #s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
| ▶ | 52.2% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ▶ | 52.1% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
Compiled 258 to 220 computations (14.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) | |
| cost-diff | 0 | (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) | |
| cost-diff | 0 | (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) | |
| cost-diff | 0 | #s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) | |
| 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 y x) | |
| cost-diff | 0 | (*.f64 (*.f64 y x) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal 3 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) | |
| cost-diff | 0 | (-.f64 x #s(literal 4/29 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 144 |
| 0 | 51 | 144 |
| 1 | 89 | 142 |
| 2 | 159 | 142 |
| 3 | 276 | 142 |
| 4 | 423 | 142 |
| 5 | 586 | 142 |
| 6 | 754 | 142 |
| 7 | 848 | 142 |
| 8 | 954 | 142 |
| 9 | 1206 | 142 |
| 10 | 1320 | 142 |
| 11 | 1406 | 142 |
| 0 | 1406 | 141 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #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) |
y |
#s(literal 3 binary64) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
x |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 y x) |
y |
x |
#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) |
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) |
y |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 12/29 binary64) x) |
#s(literal 12/29 binary64) |
x |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64)) y) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
y |
#s(literal 3 binary64) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
y |
#s(literal 3 binary64) |
x |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 y x) |
y |
x |
#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)) #s(literal 3 binary64)) y) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
y |
#s(literal 3 binary64) |
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) x)) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) x) |
(*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) |
y |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 12/29 binary64) x) |
#s(literal 12/29 binary64) |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) | |
| accuracy | 0.09375 | (/.f64 #s(literal 12/29 binary64) x) | |
| accuracy | 0.19140625 | (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) | |
| accuracy | 9.089605058709651 | (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) | |
| accuracy | 0.0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.28515625 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 32.111522263782476 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.2109375 | (*.f64 (*.f64 y x) #s(literal 3 binary64)) | |
| accuracy | 30.515247928143378 | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) | |
| accuracy | 0.0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.23046875 | (*.f64 (*.f64 y #s(literal 3 binary64)) x) | |
| accuracy | 30.515247928143378 | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) | |
| accuracy | 0.0 | (-.f64 x #s(literal 4/29 binary64)) | |
| accuracy | 0.046875 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) | |
| accuracy | 0.32421875 | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
| 157.0ms | 227× | 0 | valid |
| 10.0ms | 16× | 2 | valid |
| 7.0ms | 13× | 1 | valid |
Compiled 124 to 37 computations (70.2% saved)
ival-mult: 82.0ms (64.4% of total)const: 23.0ms (18.1% of total)ival-div: 5.0ms (3.9% of total)ival-sub: 5.0ms (3.9% of total)ival-pow: 5.0ms (3.9% of total)adjust: 4.0ms (3.1% of total)ival-add: 2.0ms (1.6% 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 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(-.f64 x #s(literal 4/29 binary64)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(*.f64 y #s(literal 3 binary64)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 y x) |
(*.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(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) |
(/.f64 #s(literal 12/29 binary64) x) |
| Outputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
-4/29 |
(- x 4/29) |
(* 3 (* x y)) |
(* 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))))))))) |
(* -12/29 (/ y x)) |
(/ (+ (* -12/29 y) (* 3 (* x y))) x) |
(/ -12/29 x) |
(/ (- (* 3 x) 12/29) x) |
(/ 12/29 x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 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 y) |
(+ (* -12/29 (/ y x)) (* 3 y)) |
3 |
(- 3 (* 12/29 (/ 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 (+ (* -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))))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
(* x (* y (- 3 (* 12/29 (/ 1 x))))) |
(* y (- 3 (* 12/29 (/ 1 x)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | x | @ | 0 | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (- x 4/29) (* y 3)) (- x 4/29) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (- 3 (/ 12/29 x)) (/ 12/29 x)) |
| 6.0ms | y | @ | 0 | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (- x 4/29) (* y 3)) (- x 4/29) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (- 3 (/ 12/29 x)) (/ 12/29 x)) |
| 4.0ms | y | @ | -inf | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (- x 4/29) (* y 3)) (- x 4/29) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (- 3 (/ 12/29 x)) (/ 12/29 x)) |
| 3.0ms | y | @ | inf | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (- x 4/29) (* y 3)) (- x 4/29) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (- 3 (/ 12/29 x)) (/ 12/29 x)) |
| 2.0ms | x | @ | -inf | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (- x 4/29) (* y 3)) (- x 4/29) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (- 3 (/ 12/29 x)) (/ 12/29 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 250 |
| 1 | 406 | 222 |
| 2 | 1790 | 218 |
| 0 | 8931 | 210 |
| 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) |
(* 3 (* x y)) |
(* 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))))))))) |
(* -12/29 (/ y x)) |
(/ (+ (* -12/29 y) (* 3 (* x y))) x) |
(/ -12/29 x) |
(/ (- (* 3 x) 12/29) x) |
(/ 12/29 x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 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 y) |
(+ (* -12/29 (/ y x)) (* 3 y)) |
3 |
(- 3 (* 12/29 (/ 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 (+ (* -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))))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
(* x (* y (- 3 (* 12/29 (/ 1 x))))) |
(* y (- 3 (* 12/29 (/ 1 x)))) |
| 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)) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* x y) |
(*.f64 y x) |
(+ (* -12/29 y) (* x (+ (* -3 (* x (+ (* -29/4 y) (* 29/4 y)))) (* 3 y)))) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(+ (* -12/29 y) (* x (+ (* 3 y) (* x (+ (* -3 (+ (* -29/4 y) (* 29/4 y))) (* 87/4 (* x (+ (* -29/4 y) (* 29/4 y))))))))) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(* -12/29 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal -12/29 binary64)) |
(/ (+ (* -12/29 y) (* 3 (* x y))) x) |
(*.f64 (/.f64 y x) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(/ -12/29 x) |
(/.f64 #s(literal -12/29 binary64) x) |
(/ (- (* 3 x) 12/29) x) |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) |
(/ 12/29 x) |
(/.f64 #s(literal 12/29 binary64) x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) 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)))) |
(fma.f64 (/.f64 #s(literal -4/29 binary64) x) x x) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y)))) |
(*.f64 (*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) 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))))) |
(*.f64 (*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(+ (* -12/29 (/ y x)) (* 3 y)) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) |
3 |
#s(literal 3 binary64) |
(- 3 (* 12/29 (/ 1 x))) |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) y) |
(* -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 (+ (* -3 y) (* -1 (/ (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* -12/29 y)) x))))) |
(*.f64 (*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) y) |
(* -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 (*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) |
(* x (* y (- 3 (* 12/29 (/ 1 x))))) |
(*.f64 (*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) y) |
(* y (- 3 (* 12/29 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 124 |
| 0 | 51 | 124 |
| 1 | 165 | 112 |
| 2 | 896 | 112 |
| 0 | 8837 | 112 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(-.f64 x #s(literal 4/29 binary64)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(*.f64 y #s(literal 3 binary64)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 y x) |
(*.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(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) |
(/.f64 #s(literal 12/29 binary64) x) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 #s(literal -3 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64))))) (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64))) |
(*.f64 (*.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 #s(literal 3 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 4/29 binary64) x (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64))))) (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 4/29 binary64) x (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 y (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 #s(literal 3 binary64) (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64))))) (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64))) |
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(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- x 4/29) #s(literal -4/29 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 #s(literal 3 binary64) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)) |
(*.f64 y (*.f64 #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))) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) x)) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) x) y) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) x) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) (*.f64 y x)) |
(*.f64 (*.f64 y x) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) |
(*.f64 y (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) x)) |
(*.f64 x (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y)) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) |
(*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64))) y)) (+.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal -3 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal -3 binary64))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 27 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64))) y) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) y) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 y (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) |
(/.f64 (*.f64 y (-.f64 #s(literal 27 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))))) (+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -9 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 27 binary64) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (+.f64 #s(literal -9 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal -3 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) |
(/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) |
(neg.f64 (/.f64 (+.f64 #s(literal -9 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal -3 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))))) |
(-.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) |
(+.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) |
(/.f64 #s(literal -12/29 binary64) (neg.f64 x)) |
(/.f64 #s(literal 12/29 binary64) x) |
(neg.f64 (/.f64 #s(literal -12/29 binary64) x)) |
(sqrt.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64))) |
(fabs.f64 (/.f64 #s(literal -12/29 binary64) x)) |
(fabs.f64 (/.f64 #s(literal 12/29 binary64) x)) |
Compiled 5 956 to 747 computations (87.5% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 191 | 2 | 193 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 192 | 11 | 203 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.7% | (*.f64 (/.f64 #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)))) y) |
| ▶ | 66.5% | (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 y (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))))) |
| ✓ | 99.5% | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
| ▶ | 49.8% | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
| ✓ | 49.9% | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 99.7% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
| ✓ | 52.2% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ✓ | 50.0% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ▶ | 35.7% | #s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x)) |
| ✓ | 52.2% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ✓ | 52.1% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
Compiled 163 to 140 computations (14.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) | |
| cost-diff | 0 | (/.f64 #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 | 0 | (*.f64 (/.f64 #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)))) y) | |
| cost-diff | 1 | (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (/.f64 y (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64)))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 y (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 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)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (/.f64 y x) #s(literal -12/29 binary64)) | |
| cost-diff | 0 | #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x) | |
| cost-diff | 0 | #s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 214 |
| 0 | 60 | 213 |
| 1 | 96 | 213 |
| 2 | 179 | 210 |
| 3 | 315 | 210 |
| 4 | 453 | 210 |
| 5 | 574 | 210 |
| 6 | 710 | 210 |
| 7 | 768 | 210 |
| 8 | 844 | 210 |
| 9 | 1059 | 210 |
| 10 | 1166 | 210 |
| 11 | 1228 | 210 |
| 0 | 1228 | 210 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x)) |
(*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x) |
#s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) |
(*.f64 (/.f64 y x) #s(literal -12/29 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal -12/29 binary64) |
(*.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)) y) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
y |
#s(literal 3 binary64) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 y (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 64/24389 binary64) |
(*.f64 #s(literal 3 binary64) (/.f64 y (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64)))) |
(/.f64 y (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) |
y |
(fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) |
(-.f64 x #s(literal -4/29 binary64)) |
#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)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
(/.f64 #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)))) |
#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) |
y |
| Outputs |
|---|
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x)) |
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 #s(literal -12/29 binary64) (/.f64 y x))) x)) |
(*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x) |
(*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 #s(literal -12/29 binary64) (/.f64 y x))) x) |
#s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) |
#s(approx (* y (- 3 (/ 12/29 x))) (*.f64 #s(literal -12/29 binary64) (/.f64 y x))) |
(*.f64 (/.f64 y x) #s(literal -12/29 binary64)) |
(*.f64 #s(literal -12/29 binary64) (/.f64 y x)) |
(/.f64 y x) |
y |
x |
#s(literal -12/29 binary64) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)) y) |
(*.f64 #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) |
y |
#s(literal 3 binary64) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 y (fma.f64 x (-.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 (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) |
(*.f64 #s(literal 3 binary64) (/.f64 y (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 #s(literal 3 binary64) (fma.f64 (-.f64 x #s(literal -4/29 binary64)) x #s(literal 16/841 binary64))) y) |
(/.f64 y (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) |
(/.f64 y (fma.f64 (-.f64 x #s(literal -4/29 binary64)) x #s(literal 16/841 binary64))) |
y |
(fma.f64 x (-.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)) |
(-.f64 x #s(literal -4/29 binary64)) |
#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)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
(*.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) (/.f64 y (fma.f64 (-.f64 x #s(literal -4/29 binary64)) x #s(literal 16/841 binary64)))) |
(/.f64 #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 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) (fma.f64 (-.f64 x #s(literal -4/29 binary64)) x #s(literal 16/841 binary64))) |
#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) |
y |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.04296875 | (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) | |
| accuracy | 0.171875 | (*.f64 (/.f64 #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)))) y) | |
| accuracy | 20.97418407271374 | (/.f64 #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 | 31.973529193203653 | #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) | |
| accuracy | 0.015625 | (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) | |
| accuracy | 0.19140625 | (*.f64 #s(literal 3 binary64) (/.f64 y (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64)))) | |
| accuracy | 4.240755904891536 | (/.f64 y (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) | |
| accuracy | 17.166839399301303 | (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 y (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))))) | |
| accuracy | 0.046875 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) | |
| accuracy | 0.32421875 | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) | |
| accuracy | 32.111522263782476 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| accuracy | 0.0 | #s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x)) | |
| accuracy | 0.43299146247762327 | (*.f64 (/.f64 y x) #s(literal -12/29 binary64)) | |
| accuracy | 9.089605058709651 | (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x) | |
| accuracy | 31.691971001563648 | #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) |
| 153.0ms | 195× | 0 | valid |
| 34.0ms | 39× | 1 | valid |
| 16.0ms | 22× | 2 | valid |
Compiled 189 to 36 computations (81% saved)
ival-sub: 84.0ms (50.2% of total)const: 36.0ms (21.5% of total)ival-mult: 21.0ms (12.5% of total)ival-div: 8.0ms (4.8% of total)adjust: 8.0ms (4.8% of total)ival-pow: 6.0ms (3.6% of total)ival-add: 5.0ms (3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x)) |
(*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x) |
#s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) |
(*.f64 (/.f64 y x) #s(literal -12/29 binary64)) |
(*.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)) y) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 y (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (/.f64 y (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 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)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
(/.f64 #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)))) |
#s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) |
(/.f64 y (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) |
(fma.f64 x (-.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)) |
| Outputs |
|---|
(* -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))))))))) |
(* -12/29 (/ y x)) |
(/ (+ (* -12/29 y) (* 3 (* x y))) x) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
-4/29 |
(- x 4/29) |
-64/24389 |
(- (pow x 3) 64/24389) |
(pow x 3) |
(* 2523/16 y) |
(+ (* -73167/64 (* x y)) (* 2523/16 y)) |
(+ (* 2523/16 y) (* x (+ (* -73167/64 y) (* -3 (* x (+ (* -707281/256 y) (* 707281/256 y))))))) |
(+ (* 2523/16 y) (* x (+ (* -73167/64 y) (* x (+ (* -3 (* x (+ (* -20511149/1024 y) (* -29/4 (+ (* -707281/256 y) (* 707281/256 y)))))) (* -3 (+ (* -707281/256 y) (* 707281/256 y)))))))) |
16/841 |
(+ 16/841 (* 4/29 x)) |
(+ 16/841 (* x (+ 4/29 x))) |
-12/29 |
(- (* 3 x) 12/29) |
-192/24389 |
(- (* 3 (pow x 3)) 192/24389) |
(* 841/16 y) |
(+ (* -24389/64 (* x y)) (* 841/16 y)) |
(+ (* 841/16 y) (* x (- (* -1 (* x (+ (* -707281/256 y) (* 707281/256 y)))) (* 24389/64 y)))) |
(+ (* 841/16 y) (* x (- (* x (- (* -1 (* x (+ (* -20511149/1024 y) (* -29/4 (+ (* -707281/256 y) (* 707281/256 y)))))) (+ (* -707281/256 y) (* 707281/256 y)))) (* 24389/64 y)))) |
(* 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 y) |
(+ (* -12/29 (/ y x)) (* 3 y)) |
(* x y) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* (pow x 3) (- 1 (* 64/24389 (/ 1 (pow x 3))))) |
(* 3 (/ y (pow x 2))) |
(/ (+ (* -12/29 (/ y x)) (* 3 y)) (pow x 2)) |
(/ (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y))) (pow x 2)) |
(/ (+ (* -3 (/ (+ (* -4/29 (+ (* -16/841 y) (* 16/841 y))) (* -64/24389 y)) (pow x 3))) (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y)))) (pow x 2)) |
(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) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (pow x 3)) |
(* (pow x 3) (- 3 (* 192/24389 (/ 1 (pow x 3))))) |
(/ y (pow x 2)) |
(/ (+ y (* -4/29 (/ y x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2)))) (* 4/29 (/ y x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -4/29 (+ (* -16/841 y) (* 16/841 y))) (* -64/24389 y)) (pow x 3)))) (+ (* -16/841 (/ y (pow x 2))) (+ (* 16/841 (/ y (pow x 2))) (* 4/29 (/ y x))))) (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 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* (pow x 3) (- (* 64/24389 (/ 1 (pow x 3))) 1))) |
(/ (+ (* -1 (/ (+ (* 12/29 y) (* 3 (/ (+ (* -16/841 y) (* 16/841 y)) x))) x)) (* 3 y)) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -3 (+ (* -16/841 y) (* 16/841 y))) (* 3 (/ (+ (* 64/24389 y) (* 4/29 (+ (* -16/841 y) (* 16/841 y)))) x))) x)) (* 12/29 y)) x)) (* 3 y)) (pow x 2)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* (pow x 3) (- (* 192/24389 (/ 1 (pow x 3))) 3))) |
(/ (+ y (* -1 (/ (- (+ (* -16/841 (/ y x)) (* 16/841 (/ y x))) (* -4/29 y)) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (* 64/24389 (/ y x)) (* 4/29 (/ (+ (* -16/841 y) (* 16/841 y)) x))) (+ (* -16/841 y) (* 16/841 y))) x)) (* -4/29 y)) x))) (pow x 2)) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
(* x (* y (- 3 (* 12/29 (/ 1 x))))) |
(* y (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (* x (+ 4/29 x))))) |
(* 3 (/ y (+ 16/841 (* x (+ 4/29 x))))) |
(/ y (+ 16/841 (* x (+ 4/29 x)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | y | @ | 0 | ((* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (* (/ y x) -12/29) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (- (pow x 3) 64/24389) (* 3 (/ y (+ (* x (- x -4/29)) 16/841)))) (- (pow x 3) 64/24389) (pow x 3) (* 3 (/ y (+ (* x (- x -4/29)) 16/841))) (+ (* x x) (+ (* x 4/29) 16/841)) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) (* (- (pow x 3) 64/24389) 3) (/ y (+ (* x (- x -4/29)) 16/841)) (+ (* x (- x -4/29)) 16/841) (+ (* x 4/29) 16/841)) |
| 5.0ms | y | @ | -inf | ((* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (* (/ y x) -12/29) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (- (pow x 3) 64/24389) (* 3 (/ y (+ (* x (- x -4/29)) 16/841)))) (- (pow x 3) 64/24389) (pow x 3) (* 3 (/ y (+ (* x (- x -4/29)) 16/841))) (+ (* x x) (+ (* x 4/29) 16/841)) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) (* (- (pow x 3) 64/24389) 3) (/ y (+ (* x (- x -4/29)) 16/841)) (+ (* x (- x -4/29)) 16/841) (+ (* x 4/29) 16/841)) |
| 4.0ms | y | @ | inf | ((* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (* (/ y x) -12/29) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (- (pow x 3) 64/24389) (* 3 (/ y (+ (* x (- x -4/29)) 16/841)))) (- (pow x 3) 64/24389) (pow x 3) (* 3 (/ y (+ (* x (- x -4/29)) 16/841))) (+ (* x x) (+ (* x 4/29) 16/841)) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) (* (- (pow x 3) 64/24389) 3) (/ y (+ (* x (- x -4/29)) 16/841)) (+ (* x (- x -4/29)) 16/841) (+ (* x 4/29) 16/841)) |
| 3.0ms | x | @ | -inf | ((* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (* (/ y x) -12/29) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (- (pow x 3) 64/24389) (* 3 (/ y (+ (* x (- x -4/29)) 16/841)))) (- (pow x 3) 64/24389) (pow x 3) (* 3 (/ y (+ (* x (- x -4/29)) 16/841))) (+ (* x x) (+ (* x 4/29) 16/841)) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) (* (- (pow x 3) 64/24389) 3) (/ y (+ (* x (- x -4/29)) 16/841)) (+ (* x (- x -4/29)) 16/841) (+ (* x 4/29) 16/841)) |
| 3.0ms | x | @ | inf | ((* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (* (/ y x) -12/29) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (- (pow x 3) 64/24389) (* 3 (/ y (+ (* x (- x -4/29)) 16/841)))) (- (pow x 3) 64/24389) (pow x 3) (* 3 (/ y (+ (* x (- x -4/29)) 16/841))) (+ (* x x) (+ (* x 4/29) 16/841)) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) (* (- (pow x 3) 64/24389) 3) (/ y (+ (* x (- x -4/29)) 16/841)) (+ (* x (- x -4/29)) 16/841) (+ (* x 4/29) 16/841)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 262 | 859 |
| 1 | 937 | 684 |
| 2 | 4696 | 673 |
| 0 | 8156 | 626 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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))))))))) |
(* -12/29 (/ y x)) |
(/ (+ (* -12/29 y) (* 3 (* x y))) x) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
-4/29 |
(- x 4/29) |
-64/24389 |
(- (pow x 3) 64/24389) |
(pow x 3) |
(* 2523/16 y) |
(+ (* -73167/64 (* x y)) (* 2523/16 y)) |
(+ (* 2523/16 y) (* x (+ (* -73167/64 y) (* -3 (* x (+ (* -707281/256 y) (* 707281/256 y))))))) |
(+ (* 2523/16 y) (* x (+ (* -73167/64 y) (* x (+ (* -3 (* x (+ (* -20511149/1024 y) (* -29/4 (+ (* -707281/256 y) (* 707281/256 y)))))) (* -3 (+ (* -707281/256 y) (* 707281/256 y)))))))) |
16/841 |
(+ 16/841 (* 4/29 x)) |
(+ 16/841 (* x (+ 4/29 x))) |
-12/29 |
(- (* 3 x) 12/29) |
-192/24389 |
(- (* 3 (pow x 3)) 192/24389) |
(* 841/16 y) |
(+ (* -24389/64 (* x y)) (* 841/16 y)) |
(+ (* 841/16 y) (* x (- (* -1 (* x (+ (* -707281/256 y) (* 707281/256 y)))) (* 24389/64 y)))) |
(+ (* 841/16 y) (* x (- (* x (- (* -1 (* x (+ (* -20511149/1024 y) (* -29/4 (+ (* -707281/256 y) (* 707281/256 y)))))) (+ (* -707281/256 y) (* 707281/256 y)))) (* 24389/64 y)))) |
(* 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 y) |
(+ (* -12/29 (/ y x)) (* 3 y)) |
(* x y) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* (pow x 3) (- 1 (* 64/24389 (/ 1 (pow x 3))))) |
(* 3 (/ y (pow x 2))) |
(/ (+ (* -12/29 (/ y x)) (* 3 y)) (pow x 2)) |
(/ (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y))) (pow x 2)) |
(/ (+ (* -3 (/ (+ (* -4/29 (+ (* -16/841 y) (* 16/841 y))) (* -64/24389 y)) (pow x 3))) (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y)))) (pow x 2)) |
(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) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (pow x 3)) |
(* (pow x 3) (- 3 (* 192/24389 (/ 1 (pow x 3))))) |
(/ y (pow x 2)) |
(/ (+ y (* -4/29 (/ y x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2)))) (* 4/29 (/ y x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -4/29 (+ (* -16/841 y) (* 16/841 y))) (* -64/24389 y)) (pow x 3)))) (+ (* -16/841 (/ y (pow x 2))) (+ (* 16/841 (/ y (pow x 2))) (* 4/29 (/ y x))))) (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 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* (pow x 3) (- (* 64/24389 (/ 1 (pow x 3))) 1))) |
(/ (+ (* -1 (/ (+ (* 12/29 y) (* 3 (/ (+ (* -16/841 y) (* 16/841 y)) x))) x)) (* 3 y)) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -3 (+ (* -16/841 y) (* 16/841 y))) (* 3 (/ (+ (* 64/24389 y) (* 4/29 (+ (* -16/841 y) (* 16/841 y)))) x))) x)) (* 12/29 y)) x)) (* 3 y)) (pow x 2)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* (pow x 3) (- (* 192/24389 (/ 1 (pow x 3))) 3))) |
(/ (+ y (* -1 (/ (- (+ (* -16/841 (/ y x)) (* 16/841 (/ y x))) (* -4/29 y)) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (* 64/24389 (/ y x)) (* 4/29 (/ (+ (* -16/841 y) (* 16/841 y)) x))) (+ (* -16/841 y) (* 16/841 y))) x)) (* -4/29 y)) x))) (pow x 2)) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
(* x (* y (- 3 (* 12/29 (/ 1 x))))) |
(* y (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (* x (+ 4/29 x))))) |
(* 3 (/ y (+ 16/841 (* x (+ 4/29 x))))) |
(/ y (+ 16/841 (* x (+ 4/29 x)))) |
| Outputs |
|---|
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(+ (* -12/29 y) (* x (+ (* -3 (* x (+ (* -29/4 y) (* 29/4 y)))) (* 3 y)))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 y #s(literal 3 binary64))) 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 y #s(literal 3 binary64))) x (*.f64 #s(literal -12/29 binary64) y)) |
(* -12/29 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal -12/29 binary64)) |
(/ (+ (* -12/29 y) (* 3 (* x y))) x) |
(*.f64 (/.f64 y x) (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)) |
-64/24389 |
#s(literal -64/24389 binary64) |
(- (pow x 3) 64/24389) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* 2523/16 y) |
(*.f64 #s(literal 2523/16 binary64) y) |
(+ (* -73167/64 (* x y)) (* 2523/16 y)) |
(*.f64 y (fma.f64 #s(literal -73167/64 binary64) x #s(literal 2523/16 binary64))) |
(+ (* 2523/16 y) (* x (+ (* -73167/64 y) (* -3 (* x (+ (* -707281/256 y) (* 707281/256 y))))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 #s(literal -73167/64 binary64) y)) x (*.f64 #s(literal 2523/16 binary64) y)) |
(+ (* 2523/16 y) (* x (+ (* -73167/64 y) (* x (+ (* -3 (* x (+ (* -20511149/1024 y) (* -29/4 (+ (* -707281/256 y) (* 707281/256 y)))))) (* -3 (+ (* -707281/256 y) (* 707281/256 y)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x) (fma.f64 (*.f64 #s(literal -20511149/1024 binary64) y) x #s(literal 0 binary64)) (*.f64 #s(literal -73167/64 binary64) y)) x (*.f64 #s(literal 2523/16 binary64) y)) |
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 |
#s(literal -12/29 binary64) |
(- (* 3 x) 12/29) |
(-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 12/29 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)) |
(* 841/16 y) |
(*.f64 #s(literal 841/16 binary64) y) |
(+ (* -24389/64 (* x y)) (* 841/16 y)) |
(*.f64 y (fma.f64 #s(literal -24389/64 binary64) x #s(literal 841/16 binary64))) |
(+ (* 841/16 y) (* x (- (* -1 (* x (+ (* -707281/256 y) (* 707281/256 y)))) (* 24389/64 y)))) |
(fma.f64 (fma.f64 #s(literal -24389/64 binary64) y (*.f64 #s(literal 0 binary64) x)) x (*.f64 #s(literal 841/16 binary64) y)) |
(+ (* 841/16 y) (* x (- (* x (- (* -1 (* x (+ (* -20511149/1024 y) (* -29/4 (+ (* -707281/256 y) (* 707281/256 y)))))) (+ (* -707281/256 y) (* 707281/256 y)))) (* 24389/64 y)))) |
(fma.f64 (fma.f64 #s(literal -24389/64 binary64) y (*.f64 (fma.f64 #s(literal 20511149/1024 binary64) (*.f64 y x) #s(literal 0 binary64)) x)) x (*.f64 #s(literal 841/16 binary64) y)) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) x) y) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y)))) |
(*.f64 (fma.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y #s(literal 0 binary64)) 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 (-.f64 (fma.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y #s(literal 0 binary64)) #s(literal 0 binary64)) x) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(+ (* -12/29 (/ y x)) (* 3 y)) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* -4/29 (/ y x)))) |
(*.f64 (fma.f64 #s(literal -4/29 binary64) (/.f64 y x) y) x) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/29 binary64) x)) x) |
(* (pow x 3) (- 1 (* 64/24389 (/ 1 (pow x 3))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* 3 (/ y (pow x 2))) |
(*.f64 (/.f64 (/.f64 y x) x) #s(literal 3 binary64)) |
(/ (+ (* -12/29 (/ y x)) (* 3 y)) (pow x 2)) |
(*.f64 (/.f64 (/.f64 y x) x) (-.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal -3 binary64))) |
(/ (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y))) (pow x 2)) |
(/.f64 (fma.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y #s(literal 0 binary64)) (*.f64 x x)) |
(/ (+ (* -3 (/ (+ (* -4/29 (+ (* -16/841 y) (* 16/841 y))) (* -64/24389 y)) (pow x 3))) (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -64/24389 binary64) y #s(literal 0 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (fma.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y #s(literal 0 binary64))) (*.f64 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 (/.f64 (+.f64 (/.f64 #s(literal 16/841 binary64) x) #s(literal 4/29 binary64)) x) x x)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) x) |
(* 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))) |
(/ y (pow x 2)) |
(/.f64 (/.f64 y x) x) |
(/ (+ y (* -4/29 (/ y x))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -4/29 binary64) (/.f64 y x) y) x) x) |
(/ (- (+ y (* -1 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2)))) (* 4/29 (/ y x))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -4/29 binary64) (/.f64 y x) (-.f64 y #s(literal 0 binary64))) x) x) |
(/ (- (+ y (* -1 (/ (+ (* -4/29 (+ (* -16/841 y) (* 16/841 y))) (* -64/24389 y)) (pow x 3)))) (+ (* -16/841 (/ y (pow x 2))) (+ (* 16/841 (/ y (pow x 2))) (* 4/29 (/ y x))))) (pow x 2)) |
(/.f64 (+.f64 (-.f64 (/.f64 (fma.f64 y #s(literal 64/24389 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 y x) #s(literal 4/29 binary64))) y) (*.f64 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 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) x) y) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* -12/29 y)) x))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y #s(literal 0 binary64)) 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 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y #s(literal 0 binary64)) x) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 y x) #s(literal 4/29 binary64) (neg.f64 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 (* (pow x 3) (- (* 64/24389 (/ 1 (pow x 3))) 1))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) |
(/ (+ (* -1 (/ (+ (* 12/29 y) (* 3 (/ (+ (* -16/841 y) (* 16/841 y)) x))) x)) (* 3 y)) (pow x 2)) |
(/.f64 (fma.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y #s(literal 0 binary64)) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -3 (+ (* -16/841 y) (* 16/841 y))) (* 3 (/ (+ (* 64/24389 y) (* 4/29 (+ (* -16/841 y) (* 16/841 y)))) x))) x)) (* 12/29 y)) x)) (* 3 y)) (pow x 2)) |
(/.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (fma.f64 #s(literal 12/29 binary64) y (fma.f64 #s(literal -3 binary64) (/.f64 (fma.f64 (/.f64 y x) #s(literal 64/24389 binary64) #s(literal 0 binary64)) x) #s(literal 0 binary64))) (neg.f64 x))) (*.f64 x x)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) |
(* -1 (* (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))) |
(/ (+ y (* -1 (/ (- (+ (* -16/841 (/ y x)) (* 16/841 (/ y x))) (* -4/29 y)) x))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -4/29 binary64) (/.f64 y x) (-.f64 y #s(literal 0 binary64))) x) x) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (* 64/24389 (/ y x)) (* 4/29 (/ (+ (* -16/841 y) (* 16/841 y)) x))) (+ (* -16/841 y) (* 16/841 y))) x)) (* -4/29 y)) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (fma.f64 y #s(literal 4/29 binary64) (/.f64 (fma.f64 y #s(literal 64/24389 binary64) #s(literal 0 binary64)) (*.f64 (neg.f64 x) x))) x)) (*.f64 x x)) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
(/.f64 (*.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64))) |
(* x (* y (- 3 (* 12/29 (/ 1 x))))) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) x) y) |
(* y (- 3 (* 12/29 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (* x (+ 4/29 x))))) |
(/.f64 (*.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64))) |
(* 3 (/ y (+ 16/841 (* x (+ 4/29 x))))) |
(*.f64 (/.f64 y (fma.f64 (+.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64))) #s(literal 3 binary64)) |
(/ y (+ 16/841 (* x (+ 4/29 x)))) |
(/.f64 y (fma.f64 (+.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 191 |
| 0 | 60 | 191 |
| 1 | 197 | 181 |
| 2 | 1163 | 181 |
| 0 | 8499 | 178 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x)) |
(*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x) |
#s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) |
(*.f64 (/.f64 y x) #s(literal -12/29 binary64)) |
(*.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)) y) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 y (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (/.f64 y (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 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)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
(/.f64 #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)))) |
#s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) |
(/.f64 y (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) |
(fma.f64 x (-.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)) |
| Outputs |
|---|
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 #s(literal -12/29 binary64) (/.f64 y x))) x)) |
(*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 #s(literal -12/29 binary64) (/.f64 y x))) x) |
(*.f64 x #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 #s(literal -12/29 binary64) (/.f64 y x)))) |
#s(approx (* y (- 3 (/ 12/29 x))) (*.f64 #s(literal -12/29 binary64) (/.f64 y x))) |
(*.f64 #s(literal -12/29 binary64) (/.f64 y x)) |
(*.f64 (/.f64 y x) #s(literal -12/29 binary64)) |
(*.f64 y (/.f64 #s(literal -12/29 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal -12/29 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal -12/29 binary64) (neg.f64 y))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -12/29 binary64) y))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 y) #s(literal -12/29 binary64)) (neg.f64 x)) |
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(/.f64 (neg.f64 (*.f64 #s(literal -12/29 binary64) y)) (neg.f64 x)) |
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(/.f64 (-.f64 #s(literal 4096/594823321 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 256/707281 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 16/841 binary64))))) |
(/.f64 (-.f64 #s(literal 4096/594823321 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 2 binary64)) #s(literal 256/707281 binary64)) (*.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 16/841 binary64)))) |
(fma.f64 (-.f64 x #s(literal -4/29 binary64)) x #s(literal 16/841 binary64)) |
(fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) |
(-.f64 (/.f64 #s(literal 256/707281 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 (-.f64 x #s(literal -4/29 binary64)) x))) (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 (-.f64 x #s(literal -4/29 binary64)) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 16/841 binary64)))) |
(-.f64 #s(literal 16/841 binary64) (*.f64 (neg.f64 (-.f64 x #s(literal -4/29 binary64))) x)) |
(-.f64 #s(literal 16/841 binary64) (*.f64 (neg.f64 x) (-.f64 x #s(literal -4/29 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 3 binary64)) (+.f64 #s(literal 256/707281 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 16/841 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (+.f64 #s(literal 256/707281 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 16/841 binary64)))))) |
(+.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 #s(literal 256/707281 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 16/841 binary64))))) (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 3 binary64)) (+.f64 #s(literal 256/707281 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 16/841 binary64)))))) |
(+.f64 (/.f64 #s(literal 4096/594823321 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 2 binary64)) #s(literal 256/707281 binary64)) (*.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 16/841 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 2 binary64)) #s(literal 256/707281 binary64)) (*.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 16/841 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 2 binary64)) #s(literal 256/707281 binary64)) (*.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 16/841 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 2 binary64)) #s(literal 256/707281 binary64)) (*.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 16/841 binary64))))) |
(+.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) x) #s(literal 16/841 binary64)) |
(+.f64 #s(literal 16/841 binary64) (*.f64 (-.f64 x #s(literal -4/29 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64)))) (*.f64 (/.f64 #s(literal 256/707281 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 (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (-.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 (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 (neg.f64 x) #s(literal 4/29 binary64)) (*.f64 (neg.f64 x) #s(literal 4/29 binary64)))) (+.f64 #s(literal 16/841 binary64) (*.f64 (neg.f64 x) #s(literal 4/29 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64)))))) (*.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64))))))) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) (fma.f64 (/.f64 #s(literal 256/707281 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 (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (-.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 (-.f64 #s(literal 4096/594823321 binary64) (pow.f64 (*.f64 (neg.f64 x) #s(literal 4/29 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 256/707281 binary64) (fma.f64 (*.f64 (neg.f64 x) #s(literal 4/29 binary64)) (*.f64 (neg.f64 x) #s(literal 4/29 binary64)) (*.f64 #s(literal 16/841 binary64) (*.f64 (neg.f64 x) #s(literal 4/29 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64)))))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 #s(literal -4/29 binary64) x #s(literal 16/841 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) #s(literal 256/707281 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64) #s(literal 4096/594823321 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (-.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 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64)))) (*.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64)))) #s(literal 4096/594823321 binary64))) (pow.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x x))) (fma.f64 #s(literal -4/29 binary64) x #s(literal 16/841 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) #s(literal 256/707281 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64) #s(literal 4096/594823321 binary64))) (neg.f64 (+.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (*.f64 x #s(literal 64/24389 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64) #s(literal 4096/594823321 binary64))) (neg.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) #s(literal 256/707281 binary64)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64) #s(literal 4096/594823321 binary64)) (+.f64 #s(literal 256/707281 binary64) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (*.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -4/29 binary64) x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64) #s(literal 4096/594823321 binary64)) (+.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (*.f64 x #s(literal 64/24389 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64) #s(literal 4096/594823321 binary64)) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 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) (fma.f64 #s(literal -4/29 binary64) x #s(literal 16/841 binary64))) (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (fma.f64 #s(literal -4/29 binary64) x #s(literal 16/841 binary64)))) |
(-.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (*.f64 x #s(literal 64/24389 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (+.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (*.f64 x #s(literal 64/24389 binary64)))))) |
(-.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (-.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 (neg.f64 x) #s(literal 4/29 binary64))) |
(-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -4/29 binary64) x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (+.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (*.f64 x #s(literal 64/24389 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (+.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (*.f64 x #s(literal 64/24389 binary64)))))) |
(+.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (*.f64 x #s(literal 64/24389 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (+.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x x)) (*.f64 x #s(literal 64/24389 binary64)))))) |
(+.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64)))))) |
(+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) |
(+.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64)) |
Compiled 13 039 to 1 675 computations (87.2% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 395 | 2 | 397 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 7 | 7 |
| Total | 397 | 11 | 408 |
| Status | Accuracy | Program |
|---|---|---|
| 49.5% | (*.f64 (/.f64 #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))) y) | |
| ✓ | 99.5% | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
| ✓ | 49.8% | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
| 49.6% | (*.f64 #s(approx (- (pow x 3) 64/24389) #s(literal -64/24389 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 y (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))))) | |
| ✓ | 49.9% | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 99.7% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
| ✓ | 52.2% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ✓ | 50.0% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ✓ | 35.7% | #s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x)) |
| ✓ | 52.2% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ✓ | 52.1% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
Compiled 490 to 258 computations (47.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #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 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #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 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (/.f64 #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))) y) |
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x)) |
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 (/.f64 #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)))) y) |
(*.f64 #s(approx (- (pow x 3) 64/24389) #s(literal -64/24389 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 y (fma.f64 x (-.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)) #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 #s(literal 3 binary64) (/.f64 y (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
(/.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 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64)) (*.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (+.f64 x #s(literal 4/29 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
5 calls:
| 20.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 6.0ms | y |
| 6.0ms | x |
| 5.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 5.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 99.7% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 99.7% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 99.7% | 1 | x |
| 99.7% | 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 (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #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 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #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 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (/.f64 #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))) y) |
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x)) |
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
| Outputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
5 calls:
| 7.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 3.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 99.7% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 99.7% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 99.7% | 1 | x |
| 99.7% | 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 (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #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 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
5 calls:
| 2.0ms | 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 |
|---|---|---|
| 98.0% | 3 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 98.0% | 3 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 80.7% | 3 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 98.0% | 3 | x |
| 61.0% | 3 | 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 (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
3 calls:
| 4.0ms | x |
| 2.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 1.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 3 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 97.9% | 3 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 97.9% | 3 | x |
Compiled 13 to 16 computations (-23.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
| Outputs |
|---|
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
3 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 1.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 3 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 97.9% | 3 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 97.9% | 3 | x |
Compiled 13 to 16 computations (-23.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| Outputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
5 calls:
| 4.0ms | y |
| 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 | (-.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 |
|---|---|---|
| 50.0% | 1 | y |
| 50.0% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 50.0% | 1 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 50.0% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 50.0% | 1 | x |
Compiled 23 to 27 computations (-17.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 0.026737187178649816 | 5612.526759357109 |
| 14.0ms | -14296.719150788527 | -6.278526881769419e-9 |
| 15.0ms | 304× | 0 | valid |
Compiled 488 to 499 computations (-2.3% saved)
ival-div: 3.0ms (37.1% of total)ival-mult: 3.0ms (37.1% of total)ival-sub: 1.0ms (12.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.026737187178649816 | 5612.526759357109 |
| 1.0ms | -14296.719150788527 | -6.278526881769419e-9 |
Compiled 506 to 508 computations (-0.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.026737187178649816 | 5612.526759357109 |
| 1.0ms | -14296.719150788527 | -6.278526881769419e-9 |
Compiled 506 to 508 computations (-0.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 145 |
| 1 | 47 | 145 |
| 2 | 63 | 145 |
| 3 | 72 | 145 |
| 4 | 74 | 145 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
(if (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y))) |
(if (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)))) |
(if (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
(if (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y))) |
(if (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)))) |
(if (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)))) |
(if (or (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) (not (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)))) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) 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 | 129 | 256 |
| 1 | 432 | 250 |
| 2 | 1865 | 236 |
| 0 | 9104 | 226 |
| 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× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 165 to 42 computations (74.5% saved)
(negabs y)
Compiled 398 to 152 computations (61.8% saved)
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