
Time bar (total: 4.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 11 computations (0% saved)
| 792.0ms | 8 256× | 0 | valid |
ival-div: 177.0ms (47.3% of total)ival-mult: 136.0ms (36.3% of total)ival-sub: 39.0ms (10.4% of total)exact: 11.0ms (2.9% of total)ival-true: 6.0ms (1.6% of total)ival-assert: 3.0ms (0.8% of total)adjust: 2.0ms (0.5% 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 |
| 42.0ms | 478× | 0 | valid |
| 2.0ms | 22× | 1 | valid |
| 2.0ms | 12× | 2 | valid |
Compiled 71 to 31 computations (56.3% saved)
ival-mult: 22.0ms (69.3% of total)ival-div: 4.0ms (12.6% of total)ival-sub: 3.0ms (9.4% of total)adjust: 1.0ms (3.1% of total)exact: 1.0ms (3.1% 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 |
|---|---|---|
| ▶ | 99.8% | (*.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 | 0.0703125 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) | |
| accuracy | 0.1171875 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 15.0ms | 239× | 0 | valid |
| 13.0ms | 11× | 1 | valid |
| 1.0ms | 6× | 2 | valid |
Compiled 31 to 11 computations (64.5% saved)
ival-mult: 5.0ms (53.2% of total)ival-div: 2.0ms (21.3% of total)ival-sub: 1.0ms (10.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ 16 116) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- x (/ 16 116))) |
| 1.0ms | x | @ | inf | ((/ 16 116) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- x (/ 16 116))) |
| 1.0ms | y | @ | 0 | ((/ 16 116) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- x (/ 16 116))) |
| 1.0ms | x | @ | 0 | ((/ 16 116) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- x (/ 16 116))) |
| 1.0ms | 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)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 256 | 9 | 265 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 257 | 9 | 266 |
| Status | Accuracy | Program |
|---|---|---|
| 86.5% | (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) | |
| 77.3% | (*.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)))) | |
| ▶ | 99.7% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ▶ | 73.8% | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
| 99.6% | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) | |
| ▶ | 99.8% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
| ▶ | 46.2% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ▶ | 56.4% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| 46.1% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
Compiled 260 to 202 computations (22.3% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal 4/29 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) | |
| cost-diff | 1 | (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) | |
| cost-diff | 16 | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) | |
| cost-diff | 0 | (*.f64 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 | 29 | 173 |
| 0 | 44 | 151 |
| 1 | 74 | 151 |
| 2 | 152 | 151 |
| 3 | 503 | 151 |
| 4 | 2139 | 151 |
| 5 | 7663 | 151 |
| 0 | 9195 | 151 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal -12/29 binary64) |
y |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
#s(literal -12/29 binary64) |
y |
(*.f64 #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 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
(/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)) |
(fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) |
(*.f64 #s(literal -4/29 binary64) x) |
#s(literal -4/29 binary64) |
#s(literal 16/841 binary64) |
| Outputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
(*.f64 y #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal -12/29 binary64) |
y |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
#s(literal -12/29 binary64) |
y |
(*.f64 #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)) 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 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 y (-.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) x) #s(literal 16/841 binary64))) (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
(/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(*.f64 (/.f64 y (-.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) x) #s(literal 16/841 binary64))) #s(literal 3 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)) |
(-.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) x) #s(literal 16/841 binary64)) |
(fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) x) |
(*.f64 #s(literal -4/29 binary64) x) |
#s(literal -4/29 binary64) |
#s(literal 16/841 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08203125 | (*.f64 #s(literal -4/29 binary64) x) | |
| accuracy | 4.288195980904998 | (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) | |
| accuracy | 6.3218172668672965 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) | |
| accuracy | 8.254891267582579 | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) | |
| accuracy | 0.0 | (-.f64 x #s(literal 4/29 binary64)) | |
| accuracy | 0.0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.18359375 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 3 binary64) x) | |
| accuracy | 0.1171875 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) | |
| accuracy | 34.81434278037943 | #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) | |
| accuracy | 0.1171875 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) | |
| accuracy | 27.971474062955107 | #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) | |
| accuracy | 0.0 | (fma.f64 #s(literal 3 binary64) x #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 | 0.1171875 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
| 46.0ms | 234× | 0 | valid |
| 26.0ms | 7× | 2 | valid |
| 6.0ms | 15× | 1 | valid |
Compiled 172 to 27 computations (84.3% saved)
const: 34.0ms (55.7% of total)ival-mult: 14.0ms (22.9% of total)ival-div: 4.0ms (6.5% of total)ival-sub: 4.0ms (6.5% of total)ival-add: 3.0ms (4.9% of total)adjust: 2.0ms (3.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
(*.f64 #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)) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(*.f64 #s(literal -4/29 binary64) x) |
| Outputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
-12/29 |
(- (* 3 x) 12/29) |
(* 3 x) |
-4/29 |
(- x 4/29) |
(* -4/29 x) |
(* x (- x 4/29)) |
(* 87/4 y) |
(+ (* 3 (* x (- (* -841/16 y) (* 841/16 y)))) (* 87/4 y)) |
(+ (* 87/4 y) (* x (+ (* -3 (* x (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))) (* 3 (- (* -841/16 y) (* 841/16 y)))))) |
(+ (* 87/4 y) (* x (+ (* 3 (- (* -841/16 y) (* 841/16 y))) (* x (+ (* -3 (* x (+ (* -841/16 (- (* -841/16 y) (* 841/16 y))) (* -29/4 (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))))) (* -3 (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))))))) |
(* -2523/16 y) |
(+ (* -2523/16 y) (* 73167/64 (* x y))) |
(+ (* -2523/16 y) (* x (+ (* -2121843/128 (* x y)) (* 73167/64 y)))) |
(+ (* -2523/16 y) (* x (+ (* 73167/64 y) (* x (+ (* -2121843/128 y) (* -3 (* x (+ (* -20511149/512 y) (* -20511149/1024 y))))))))) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4/29 (/ 1 x)))) |
(* 3 (/ y x)) |
(/ (+ (* 48/841 (/ y (pow x 2))) (* 3 y)) x) |
(/ (+ (* 192/24389 (/ y (pow x 3))) (+ (* 48/841 (/ y (pow x 2))) (* 3 y))) x) |
(/ (+ (* 1536/707281 (/ y (pow x 4))) (+ (* 192/24389 (/ y (pow x 3))) (+ (* 48/841 (/ y (pow x 2))) (* 3 y)))) x) |
(* 3 (/ y (pow x 2))) |
(/ (+ (* 12/29 (/ y x)) (* 3 y)) (pow x 2)) |
(/ (+ (* 96/841 (/ y (pow x 2))) (+ (* 12/29 (/ y x)) (* 3 y))) (pow x 2)) |
(/ (+ (* -3 (/ (+ (* -128/24389 y) (* -64/24389 y)) (pow x 3))) (+ (* 96/841 (/ y (pow x 2))) (+ (* 12/29 (/ y x)) (* 3 y)))) (pow x 2)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (/ (+ (* -3 y) (* -48/841 (/ y (pow x 2)))) x)) |
(* -1 (/ (+ (* -3 y) (+ (* -48/841 (/ y (pow x 2))) (* -192/24389 (/ y (pow x 3))))) x)) |
(* -1 (/ (+ (* -3 y) (+ (* -1 (/ (+ (* 1536/707281 (/ y x)) (* 192/24389 y)) (pow x 3))) (* -48/841 (/ y (pow x 2))))) x)) |
(/ (+ (* -1 (/ (+ (* -12/29 y) (* -96/841 (/ y x))) x)) (* 3 y)) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 96/841 y) (* 3 (/ (+ (* 64/24389 y) (* 128/24389 y)) x))) x)) (* -12/29 y)) x)) (* 3 y)) (pow x 2)) |
(* 3 (* y (- x 4/29))) |
(* 3 y) |
(* 3 (/ (* y (- x 4/29)) (- (+ (* -4/29 x) (pow x 2)) 16/841))) |
(* 3 (/ y (- (+ (* -4/29 x) (pow x 2)) 16/841))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | 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 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (- (+ (* x x) (* -4/29 x)) 16/841)) (+ (* x x) (* -4/29 x)) (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (* -4/29 x)) |
| 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 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (- (+ (* x x) (* -4/29 x)) 16/841)) (+ (* x x) (* -4/29 x)) (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (* -4/29 x)) |
| 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 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (- (+ (* x x) (* -4/29 x)) 16/841)) (+ (* x x) (* -4/29 x)) (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (* -4/29 x)) |
| 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 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (- (+ (* x x) (* -4/29 x)) 16/841)) (+ (* x x) (* -4/29 x)) (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (* -4/29 x)) |
| 2.0ms | 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 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (- (+ (* x x) (* -4/29 x)) 16/841)) (+ (* x x) (* -4/29 x)) (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (* -4/29 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 532 |
| 1 | 599 | 506 |
| 2 | 2287 | 451 |
| 0 | 9266 | 418 |
| 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) |
(* -4/29 x) |
(* x (- x 4/29)) |
(* 87/4 y) |
(+ (* 3 (* x (- (* -841/16 y) (* 841/16 y)))) (* 87/4 y)) |
(+ (* 87/4 y) (* x (+ (* -3 (* x (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))) (* 3 (- (* -841/16 y) (* 841/16 y)))))) |
(+ (* 87/4 y) (* x (+ (* 3 (- (* -841/16 y) (* 841/16 y))) (* x (+ (* -3 (* x (+ (* -841/16 (- (* -841/16 y) (* 841/16 y))) (* -29/4 (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))))) (* -3 (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))))))) |
(* -2523/16 y) |
(+ (* -2523/16 y) (* 73167/64 (* x y))) |
(+ (* -2523/16 y) (* x (+ (* -2121843/128 (* x y)) (* 73167/64 y)))) |
(+ (* -2523/16 y) (* x (+ (* 73167/64 y) (* x (+ (* -2121843/128 y) (* -3 (* x (+ (* -20511149/512 y) (* -20511149/1024 y))))))))) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4/29 (/ 1 x)))) |
(* 3 (/ y x)) |
(/ (+ (* 48/841 (/ y (pow x 2))) (* 3 y)) x) |
(/ (+ (* 192/24389 (/ y (pow x 3))) (+ (* 48/841 (/ y (pow x 2))) (* 3 y))) x) |
(/ (+ (* 1536/707281 (/ y (pow x 4))) (+ (* 192/24389 (/ y (pow x 3))) (+ (* 48/841 (/ y (pow x 2))) (* 3 y)))) x) |
(* 3 (/ y (pow x 2))) |
(/ (+ (* 12/29 (/ y x)) (* 3 y)) (pow x 2)) |
(/ (+ (* 96/841 (/ y (pow x 2))) (+ (* 12/29 (/ y x)) (* 3 y))) (pow x 2)) |
(/ (+ (* -3 (/ (+ (* -128/24389 y) (* -64/24389 y)) (pow x 3))) (+ (* 96/841 (/ y (pow x 2))) (+ (* 12/29 (/ y x)) (* 3 y)))) (pow x 2)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (/ (+ (* -3 y) (* -48/841 (/ y (pow x 2)))) x)) |
(* -1 (/ (+ (* -3 y) (+ (* -48/841 (/ y (pow x 2))) (* -192/24389 (/ y (pow x 3))))) x)) |
(* -1 (/ (+ (* -3 y) (+ (* -1 (/ (+ (* 1536/707281 (/ y x)) (* 192/24389 y)) (pow x 3))) (* -48/841 (/ y (pow x 2))))) x)) |
(/ (+ (* -1 (/ (+ (* -12/29 y) (* -96/841 (/ y x))) x)) (* 3 y)) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 96/841 y) (* 3 (/ (+ (* 64/24389 y) (* 128/24389 y)) x))) x)) (* -12/29 y)) x)) (* 3 y)) (pow x 2)) |
(* 3 (* y (- x 4/29))) |
(* 3 y) |
(* 3 (/ (* y (- x 4/29)) (- (+ (* -4/29 x) (pow x 2)) 16/841))) |
(* 3 (/ y (- (+ (* -4/29 x) (pow x 2)) 16/841))) |
| Outputs |
|---|
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
-12/29 |
#s(literal -12/29 binary64) |
(- (* 3 x) 12/29) |
(-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 12/29 binary64)) |
(* 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)) |
(* -4/29 x) |
(*.f64 #s(literal -4/29 binary64) x) |
(* x (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) x) |
(* 87/4 y) |
(*.f64 #s(literal 87/4 binary64) y) |
(+ (* 3 (* x (- (* -841/16 y) (* 841/16 y)))) (* 87/4 y)) |
(fma.f64 (*.f64 #s(literal -2523/8 binary64) y) x (*.f64 #s(literal 87/4 binary64) y)) |
(+ (* 87/4 y) (* x (+ (* -3 (* x (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))) (* 3 (- (* -841/16 y) (* 841/16 y)))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) x) (fma.f64 (*.f64 #s(literal -73167/64 binary64) x) y (*.f64 #s(literal 841/8 binary64) y)) (*.f64 #s(literal 87/4 binary64) y)) |
(+ (* 87/4 y) (* x (+ (* 3 (- (* -841/16 y) (* 841/16 y))) (* x (+ (* -3 (* x (+ (* -841/16 (- (* -841/16 y) (* 841/16 y))) (* -29/4 (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))))) (* -3 (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))))))) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -73167/64 binary64) y (*.f64 (fma.f64 #s(literal 707281/128 binary64) y (*.f64 y #s(literal 2121843/256 binary64))) x))) #s(literal -3 binary64) (*.f64 #s(literal -2523/8 binary64) y)) x (*.f64 #s(literal 87/4 binary64) y)) |
(* -2523/16 y) |
(*.f64 #s(literal -2523/16 binary64) y) |
(+ (* -2523/16 y) (* 73167/64 (* x y))) |
(*.f64 y (fma.f64 #s(literal 73167/64 binary64) x #s(literal -2523/16 binary64))) |
(+ (* -2523/16 y) (* x (+ (* -2121843/128 (* x y)) (* 73167/64 y)))) |
(fma.f64 (*.f64 y (fma.f64 #s(literal -2121843/128 binary64) x #s(literal 73167/64 binary64))) x (*.f64 #s(literal -2523/16 binary64) y)) |
(+ (* -2523/16 y) (* x (+ (* 73167/64 y) (* x (+ (* -2121843/128 y) (* -3 (* x (+ (* -20511149/512 y) (* -20511149/1024 y))))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 184600341/1024 binary64) y) x (*.f64 #s(literal -2121843/128 binary64) y)) (*.f64 y (fma.f64 #s(literal 73167/64 binary64) x #s(literal -2523/16 binary64)))) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(* 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 (fma.f64 (/.f64 #s(literal -4/29 binary64) x) x x) x) |
(* 3 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 3 binary64)) |
(/ (+ (* 48/841 (/ y (pow x 2))) (* 3 y)) x) |
(/.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 48/841 binary64) (*.f64 y #s(literal 3 binary64))) x) |
(/ (+ (* 192/24389 (/ y (pow x 3))) (+ (* 48/841 (/ y (pow x 2))) (* 3 y))) x) |
(/.f64 (fma.f64 (/.f64 (/.f64 y x) x) (-.f64 (/.f64 #s(literal 192/24389 binary64) x) #s(literal -48/841 binary64)) (*.f64 y #s(literal 3 binary64))) x) |
(/ (+ (* 1536/707281 (/ y (pow x 4))) (+ (* 192/24389 (/ y (pow x 3))) (+ (* 48/841 (/ y (pow x 2))) (* 3 y)))) x) |
(/.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1536/707281 binary64) (fma.f64 (/.f64 (/.f64 y x) x) (-.f64 (/.f64 #s(literal 192/24389 binary64) x) #s(literal -48/841 binary64)) (*.f64 y #s(literal 3 binary64)))) x) |
(* 3 (/ y (pow x 2))) |
(*.f64 (/.f64 (/.f64 y x) x) #s(literal 3 binary64)) |
(/ (+ (* 12/29 (/ y x)) (* 3 y)) (pow x 2)) |
(*.f64 (/.f64 (/.f64 y x) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64))) |
(/ (+ (* 96/841 (/ y (pow x 2))) (+ (* 12/29 (/ y x)) (* 3 y))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 96/841 binary64) x) #s(literal -12/29 binary64)) (*.f64 y #s(literal 3 binary64))) (*.f64 x x)) |
(/ (+ (* -3 (/ (+ (* -128/24389 y) (* -64/24389 y)) (pow x 3))) (+ (* 96/841 (/ y (pow x 2))) (+ (* 12/29 (/ y x)) (* 3 y)))) (pow x 2)) |
(/.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (fma.f64 #s(literal 12/29 binary64) y (/.f64 (fma.f64 #s(literal 576/24389 binary64) (/.f64 y x) (*.f64 #s(literal 96/841 binary64) y)) x)) x)) (*.f64 x x)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 1 binary64))) |
(* -1 (/ (+ (* -3 y) (* -48/841 (/ y (pow x 2)))) x)) |
(/.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 48/841 binary64) (*.f64 y #s(literal 3 binary64))) x) |
(* -1 (/ (+ (* -3 y) (+ (* -48/841 (/ y (pow x 2))) (* -192/24389 (/ y (pow x 3))))) x)) |
(/.f64 (fma.f64 (/.f64 (/.f64 y x) x) (-.f64 (/.f64 #s(literal 192/24389 binary64) x) #s(literal -48/841 binary64)) (*.f64 y #s(literal 3 binary64))) x) |
(* -1 (/ (+ (* -3 y) (+ (* -1 (/ (+ (* 1536/707281 (/ y x)) (* 192/24389 y)) (pow x 3))) (* -48/841 (/ y (pow x 2))))) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 (fma.f64 #s(literal -48/841 binary64) y (/.f64 (fma.f64 #s(literal -1536/707281 binary64) (/.f64 y x) (*.f64 #s(literal -192/24389 binary64) y)) x)) (*.f64 x x))) (neg.f64 x)) |
(/ (+ (* -1 (/ (+ (* -12/29 y) (* -96/841 (/ y x))) x)) (* 3 y)) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 96/841 binary64) x) #s(literal -12/29 binary64)) (*.f64 y #s(literal 3 binary64))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 96/841 y) (* 3 (/ (+ (* 64/24389 y) (* 128/24389 y)) x))) x)) (* -12/29 y)) x)) (* 3 y)) (pow x 2)) |
(/.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (fma.f64 #s(literal 12/29 binary64) y (/.f64 (fma.f64 #s(literal 576/24389 binary64) (/.f64 y x) (*.f64 #s(literal 96/841 binary64) y)) x)) x)) (*.f64 x x)) |
(* 3 (* y (- x 4/29))) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 (/ (* y (- x 4/29)) (- (+ (* -4/29 x) (pow x 2)) 16/841))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64))) (/.f64 y (-.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) x) #s(literal 16/841 binary64)))) |
(* 3 (/ y (- (+ (* -4/29 x) (pow x 2)) 16/841))) |
(*.f64 (/.f64 y (-.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) x) #s(literal 16/841 binary64))) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 140 |
| 0 | 44 | 135 |
| 1 | 131 | 135 |
| 2 | 852 | 135 |
| 0 | 9575 | 135 |
| 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)) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(*.f64 #s(literal -4/29 binary64) x) |
| Outputs |
|---|
(*.f64 y #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (*.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x))))) (*.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) (/.f64 #s(literal -1728/24389 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) (/.f64 #s(literal -1728/24389 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (fma.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))))) |
(/.f64 (-.f64 #s(literal -1728/24389 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 144/841 binary64) (fma.f64 (*.f64 #s(literal 9 binary64) x) x (*.f64 #s(literal -12/29 binary64) (*.f64 #s(literal -3 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) (-.f64 (*.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) (/.f64 #s(literal -1728/24389 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) (/.f64 #s(literal -1728/24389 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 144/841 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)) #s(literal 144/841 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x))) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x))) #s(literal -1728/24389 binary64))) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x))))) |
(/.f64 (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 144/841 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64))) (neg.f64 (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 144/841 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64))))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 144/841 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 144/841 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(-.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) |
(-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal -3 binary64) x)) |
(+.f64 (/.f64 #s(literal -1728/24389 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64))))) (/.f64 #s(literal -1728/24389 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)))))) |
(+.f64 (/.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 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) (/.f64 #s(literal -1728/24389 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x))))) |
(+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)) |
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
(*.f64 y #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))) |
#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) |
(*.f64 y #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))) |
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 x #s(literal 3 binary64)) |
(sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x))) |
(fabs.f64 (*.f64 #s(literal -3 binary64) x)) |
(fabs.f64 (*.f64 #s(literal 3 binary64) x)) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 y (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64)) y) |
(*.f64 #s(literal 3 binary64) (*.f64 (-.f64 x #s(literal 4/29 binary64)) y)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (*.f64 y #s(literal 3 binary64))) (+.f64 (neg.f64 x) #s(literal -4/29 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal -4/29 binary64) x) (neg.f64 x) #s(literal -16/841 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) y) (+.f64 #s(literal 4/29 binary64) x)) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) y) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) |
(/.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (+.f64 (neg.f64 x) #s(literal -4/29 binary64))) |
(/.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (fma.f64 (+.f64 #s(literal -4/29 binary64) x) (neg.f64 x) #s(literal -16/841 binary64))) |
(/.f64 (*.f64 y (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4/29 binary64) x)) |
(/.f64 (*.f64 y (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) |
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) (+.f64 #s(literal 4/29 binary64) x)) |
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) y)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) |
(/.f64 (*.f64 #s(literal -3 binary64) (*.f64 y (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (+.f64 (neg.f64 x) #s(literal -4/29 binary64))) |
(/.f64 (*.f64 #s(literal -3 binary64) (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (fma.f64 (+.f64 #s(literal -4/29 binary64) x) (neg.f64 x) #s(literal -16/841 binary64))) |
(/.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (+.f64 #s(literal 4/29 binary64) x)) |
(/.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal -3 binary64)) y) (+.f64 (neg.f64 x) #s(literal -4/29 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal -3 binary64)) y) (fma.f64 (+.f64 #s(literal -4/29 binary64) x) (neg.f64 x) #s(literal -16/841 binary64))) |
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(/.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 256/707281 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 256/707281 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (+.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 256/707281 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 256/707281 binary64)) (-.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 256/707281 binary64)) (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64)) y) (/.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))) |
(/.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64))) |
(neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) y) (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64)))) |
(fma.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (*.f64 x x) (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (fma.f64 #s(literal -4/29 binary64) x #s(literal 16/841 binary64)))) |
(fma.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) #s(literal 16/841 binary64) (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (*.f64 x (-.f64 x #s(literal 4/29 binary64))))) |
(fma.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (*.f64 x (-.f64 x #s(literal 4/29 binary64))) (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) #s(literal 16/841 binary64))) |
(fma.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (*.f64 #s(literal -4/29 binary64) x) (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (fma.f64 x x #s(literal 16/841 binary64)))) |
(fma.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (+.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64)) (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64)))))) |
(fma.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (fma.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 256/707281 binary64)) (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (fma.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 256/707281 binary64)))) |
(fma.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (*.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64)))) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))))) |
(fma.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 256/707281 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (*.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))))) |
(fma.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (*.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 256/707281 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (*.f64 (fma.f64 #s(literal -4/29 binary64) x #s(literal 16/841 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))))) |
(fma.f64 #s(literal 16/841 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (*.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))))) |
(fma.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (*.f64 #s(literal 16/841 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))))) |
(fma.f64 (*.f64 #s(literal -4/29 binary64) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64)))) (*.f64 (fma.f64 #s(literal -4/29 binary64) x #s(literal 16/841 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))))) |
(+.f64 (*.f64 #s(literal 16/841 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64)))) (*.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))))) |
(+.f64 (*.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64)))) (*.f64 #s(literal 16/841 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal -4/29 binary64) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64)))) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))))) |
(+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)))) (*.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64)))) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))))) |
(+.f64 (*.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 256/707281 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)))) (*.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))))) |
(+.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)))) (*.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 256/707281 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))))) |
(+.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (fma.f64 #s(literal -4/29 binary64) x #s(literal 16/841 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) #s(literal 16/841 binary64)) (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (*.f64 x (-.f64 x #s(literal 4/29 binary64))))) |
(+.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (*.f64 x (-.f64 x #s(literal 4/29 binary64)))) (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) #s(literal 16/841 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (*.f64 #s(literal -4/29 binary64) x)) (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (fma.f64 x x #s(literal 16/841 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (+.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64)))))) |
(+.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (fma.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 256/707281 binary64))) (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (fma.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 256/707281 binary64)))) |
(*.f64 #s(literal -4/29 binary64) x) |
(*.f64 x #s(literal -4/29 binary64)) |
Compiled 21 528 to 1 950 computations (90.9% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 599 | 4 | 603 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 602 | 10 | 612 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.5% | (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) |
| ✓ | 99.7% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| 76.6% | (*.f64 (*.f64 (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64)) (*.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 x #s(literal 4/29 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64)))) | |
| ▶ | 54.6% | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
| ▶ | 99.6% | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
| ▶ | 56.3% | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 99.8% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
| ✓ | 46.2% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ✓ | 56.4% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ▶ | 46.1% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
Compiled 239 to 193 computations (19.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) | |
| cost-diff | 0 | (-.f64 x #s(literal 4/29 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y))) | |
| cost-diff | 1 | (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) | |
| cost-diff | 1 | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 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 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 | 41 | 202 |
| 0 | 59 | 196 |
| 1 | 99 | 196 |
| 2 | 180 | 196 |
| 3 | 367 | 196 |
| 4 | 743 | 196 |
| 5 | 1369 | 196 |
| 6 | 2378 | 196 |
| 7 | 3782 | 196 |
| 8 | 5052 | 196 |
| 9 | 7762 | 196 |
| 0 | 8055 | 195 |
| 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)) |
x |
#s(literal 4/29 binary64) |
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) |
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) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y))) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
#s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y)) |
(*.f64 #s(literal -2523/16 binary64) y) |
#s(literal -2523/16 binary64) |
y |
(-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)) |
(fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) |
(*.f64 #s(literal -4/29 binary64) x) |
#s(literal -4/29 binary64) |
#s(literal 16/841 binary64) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
(*.f64 x x) |
x |
#s(literal 16/841 binary64) |
y |
#s(literal 3 binary64) |
(+.f64 x #s(literal 4/29 binary64)) |
#s(literal 4/29 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64))) y) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(*.f64 y (-.f64 x #s(literal 4/29 binary64))) |
(-.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 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) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(*.f64 (fma.f64 (+.f64 #s(literal -4/29 binary64) x) x #s(literal -16/841 binary64)) (*.f64 (+.f64 #s(literal -4/29 binary64) x) #s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y))) |
(*.f64 (+.f64 #s(literal -4/29 binary64) x) #s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y))) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
#s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y)) |
(*.f64 #s(literal -2523/16 binary64) y) |
#s(literal -2523/16 binary64) |
y |
(-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)) |
(-.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) x) #s(literal 16/841 binary64)) |
(fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) x) |
(*.f64 #s(literal -4/29 binary64) x) |
#s(literal -4/29 binary64) |
#s(literal 16/841 binary64) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 y (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
(*.f64 x x) |
x |
#s(literal 16/841 binary64) |
y |
#s(literal 3 binary64) |
(+.f64 x #s(literal 4/29 binary64)) |
(+.f64 #s(literal 4/29 binary64) x) |
#s(literal 4/29 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) | |
| accuracy | 0.2578125 | (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) | |
| accuracy | 3.4158605809949116 | (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) | |
| accuracy | 5.33334054341798 | (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) | |
| accuracy | 0.08203125 | (*.f64 #s(literal -4/29 binary64) x) | |
| accuracy | 6.3218172668672965 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y))) | |
| accuracy | 8.254891267582579 | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) | |
| accuracy | 28.013137275016998 | #s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y)) | |
| accuracy | 0.0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.18359375 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 27.959816110878567 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.2265625 | (*.f64 (*.f64 y x) #s(literal 3 binary64)) | |
| accuracy | 34.37921562198027 | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) | |
| accuracy | 0.0 | (-.f64 x #s(literal 4/29 binary64)) | |
| accuracy | 0.046875 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) | |
| accuracy | 0.25 | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
| 119.0ms | 251× | 0 | valid |
| 2.0ms | 4× | 1 | valid |
| 1.0ms | 1× | 2 | valid |
Compiled 190 to 35 computations (81.6% saved)
ival-mult: 51.0ms (68.1% of total)const: 10.0ms (13.4% of total)ival-div: 5.0ms (6.7% of total)ival-sub: 5.0ms (6.7% of total)ival-add: 2.0ms (2.7% of total)adjust: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.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 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)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y))) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
#s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y)) |
(*.f64 #s(literal -4/29 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) |
(* -4/29 x) |
(* x (- x 4/29)) |
(* 87/4 y) |
(+ (* 3 (* x (- (* -841/16 y) (* 841/16 y)))) (* 87/4 y)) |
(+ (* 87/4 y) (* x (+ (* -3 (* x (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))) (* 3 (- (* -841/16 y) (* 841/16 y)))))) |
(+ (* 87/4 y) (* x (+ (* 3 (- (* -841/16 y) (* 841/16 y))) (* x (+ (* -3 (* x (+ (* -841/16 (- (* -841/16 y) (* 841/16 y))) (* -29/4 (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))))) (* -3 (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))))))) |
(* -48/841 y) |
(+ (* -48/841 y) (* 3 (* (pow x 2) y))) |
(* -16/841 y) |
(+ (* -16/841 y) (* (pow x 2) y)) |
-16/841 |
(- (pow x 2) 16/841) |
(* -2523/16 y) |
(+ (* -2523/16 y) (* 73167/64 (* x y))) |
(+ (* -2523/16 y) (* x (+ (* -2121843/128 (* x y)) (* 73167/64 y)))) |
(+ (* -2523/16 y) (* x (+ (* 73167/64 y) (* x (+ (* -2121843/128 y) (* -3 (* x (+ (* -20511149/512 y) (* -20511149/1024 y))))))))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4/29 (/ 1 x)))) |
(* 3 (/ y x)) |
(/ (+ (* 48/841 (/ y (pow x 2))) (* 3 y)) x) |
(/ (+ (* 192/24389 (/ y (pow x 3))) (+ (* 48/841 (/ y (pow x 2))) (* 3 y))) x) |
(/ (+ (* 1536/707281 (/ y (pow x 4))) (+ (* 192/24389 (/ y (pow x 3))) (+ (* 48/841 (/ y (pow x 2))) (* 3 y)))) x) |
(* 3 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(* (pow x 2) y) |
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2))))) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* 3 (/ y (pow x 2))) |
(/ (+ (* 12/29 (/ y x)) (* 3 y)) (pow x 2)) |
(/ (+ (* 96/841 (/ y (pow x 2))) (+ (* 12/29 (/ y x)) (* 3 y))) (pow x 2)) |
(/ (+ (* -3 (/ (+ (* -128/24389 y) (* -64/24389 y)) (pow x 3))) (+ (* 96/841 (/ y (pow x 2))) (+ (* 12/29 (/ y x)) (* 3 y)))) (pow x 2)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (/ (+ (* -3 y) (* -48/841 (/ y (pow x 2)))) x)) |
(* -1 (/ (+ (* -3 y) (+ (* -48/841 (/ y (pow x 2))) (* -192/24389 (/ y (pow x 3))))) x)) |
(* -1 (/ (+ (* -3 y) (+ (* -1 (/ (+ (* 1536/707281 (/ y x)) (* 192/24389 y)) (pow x 3))) (* -48/841 (/ y (pow x 2))))) x)) |
(/ (+ (* -1 (/ (+ (* -12/29 y) (* -96/841 (/ y x))) x)) (* 3 y)) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 96/841 y) (* 3 (/ (+ (* 64/24389 y) (* 128/24389 y)) x))) x)) (* -12/29 y)) x)) (* 3 y)) (pow x 2)) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* 3 y) |
(* 3 (/ (* y (- x 4/29)) (- (+ (* -4/29 x) (pow x 2)) 16/841))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (* y (- (pow x 2) 16/841))) |
(* y (- (pow x 2) 16/841)) |
(* 3 (/ y (- (+ (* -4/29 x) (pow x 2)) 16/841))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | inf | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (- (+ (* x x) (* -4/29 x)) 16/841)) (+ (* x x) (* -4/29 x)) (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (* -4/29 x)) |
| 5.0ms | x | @ | -inf | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (- (+ (* x x) (* -4/29 x)) 16/841)) (+ (* x x) (* -4/29 x)) (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (* -4/29 x)) |
| 4.0ms | y | @ | -inf | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (- (+ (* x x) (* -4/29 x)) 16/841)) (+ (* x x) (* -4/29 x)) (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (* -4/29 x)) |
| 3.0ms | y | @ | 0 | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (- (+ (* x x) (* -4/29 x)) 16/841)) (+ (* x x) (* -4/29 x)) (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (* -4/29 x)) |
| 2.0ms | x | @ | inf | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (- (+ (* x x) (* -4/29 x)) 16/841)) (+ (* x x) (* -4/29 x)) (* (- x 4/29) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841))) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841) (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (* -4/29 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 213 | 652 |
| 1 | 696 | 624 |
| 2 | 2627 | 559 |
| 0 | 8982 | 522 |
| 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) |
(* -4/29 x) |
(* x (- x 4/29)) |
(* 87/4 y) |
(+ (* 3 (* x (- (* -841/16 y) (* 841/16 y)))) (* 87/4 y)) |
(+ (* 87/4 y) (* x (+ (* -3 (* x (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))) (* 3 (- (* -841/16 y) (* 841/16 y)))))) |
(+ (* 87/4 y) (* x (+ (* 3 (- (* -841/16 y) (* 841/16 y))) (* x (+ (* -3 (* x (+ (* -841/16 (- (* -841/16 y) (* 841/16 y))) (* -29/4 (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))))) (* -3 (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))))))) |
(* -48/841 y) |
(+ (* -48/841 y) (* 3 (* (pow x 2) y))) |
(* -16/841 y) |
(+ (* -16/841 y) (* (pow x 2) y)) |
-16/841 |
(- (pow x 2) 16/841) |
(* -2523/16 y) |
(+ (* -2523/16 y) (* 73167/64 (* x y))) |
(+ (* -2523/16 y) (* x (+ (* -2121843/128 (* x y)) (* 73167/64 y)))) |
(+ (* -2523/16 y) (* x (+ (* 73167/64 y) (* x (+ (* -2121843/128 y) (* -3 (* x (+ (* -20511149/512 y) (* -20511149/1024 y))))))))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4/29 (/ 1 x)))) |
(* 3 (/ y x)) |
(/ (+ (* 48/841 (/ y (pow x 2))) (* 3 y)) x) |
(/ (+ (* 192/24389 (/ y (pow x 3))) (+ (* 48/841 (/ y (pow x 2))) (* 3 y))) x) |
(/ (+ (* 1536/707281 (/ y (pow x 4))) (+ (* 192/24389 (/ y (pow x 3))) (+ (* 48/841 (/ y (pow x 2))) (* 3 y)))) x) |
(* 3 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(* (pow x 2) y) |
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2))))) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* 3 (/ y (pow x 2))) |
(/ (+ (* 12/29 (/ y x)) (* 3 y)) (pow x 2)) |
(/ (+ (* 96/841 (/ y (pow x 2))) (+ (* 12/29 (/ y x)) (* 3 y))) (pow x 2)) |
(/ (+ (* -3 (/ (+ (* -128/24389 y) (* -64/24389 y)) (pow x 3))) (+ (* 96/841 (/ y (pow x 2))) (+ (* 12/29 (/ y x)) (* 3 y)))) (pow x 2)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (/ (+ (* -3 y) (* -48/841 (/ y (pow x 2)))) x)) |
(* -1 (/ (+ (* -3 y) (+ (* -48/841 (/ y (pow x 2))) (* -192/24389 (/ y (pow x 3))))) x)) |
(* -1 (/ (+ (* -3 y) (+ (* -1 (/ (+ (* 1536/707281 (/ y x)) (* 192/24389 y)) (pow x 3))) (* -48/841 (/ y (pow x 2))))) x)) |
(/ (+ (* -1 (/ (+ (* -12/29 y) (* -96/841 (/ y x))) x)) (* 3 y)) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 96/841 y) (* 3 (/ (+ (* 64/24389 y) (* 128/24389 y)) x))) x)) (* -12/29 y)) x)) (* 3 y)) (pow x 2)) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* 3 y) |
(* 3 (/ (* y (- x 4/29)) (- (+ (* -4/29 x) (pow x 2)) 16/841))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (* y (- (pow x 2) 16/841))) |
(* y (- (pow x 2) 16/841)) |
(* 3 (/ y (- (+ (* -4/29 x) (pow x 2)) 16/841))) |
| Outputs |
|---|
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(* -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 y x) #s(literal 3 binary64)) |
(* x y) |
(*.f64 y x) |
(* -4/29 x) |
(*.f64 #s(literal -4/29 binary64) x) |
(* x (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) x) |
(* 87/4 y) |
(*.f64 #s(literal 87/4 binary64) y) |
(+ (* 3 (* x (- (* -841/16 y) (* 841/16 y)))) (* 87/4 y)) |
(fma.f64 (*.f64 #s(literal -2523/8 binary64) y) x (*.f64 #s(literal 87/4 binary64) y)) |
(+ (* 87/4 y) (* x (+ (* -3 (* x (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))) (* 3 (- (* -841/16 y) (* 841/16 y)))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) x) (fma.f64 (*.f64 #s(literal -73167/64 binary64) x) y (*.f64 #s(literal 841/8 binary64) y)) (*.f64 #s(literal 87/4 binary64) y)) |
(+ (* 87/4 y) (* x (+ (* 3 (- (* -841/16 y) (* 841/16 y))) (* x (+ (* -3 (* x (+ (* -841/16 (- (* -841/16 y) (* 841/16 y))) (* -29/4 (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))))) (* -3 (+ (* -24389/64 y) (* 29/4 (- (* -841/16 y) (* 841/16 y)))))))))) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -73167/64 binary64) y (*.f64 (fma.f64 #s(literal 707281/128 binary64) y (*.f64 y #s(literal 2121843/256 binary64))) x))) #s(literal -3 binary64) (*.f64 #s(literal -2523/8 binary64) y)) x (*.f64 #s(literal 87/4 binary64) y)) |
(* -48/841 y) |
(*.f64 #s(literal -48/841 binary64) y) |
(+ (* -48/841 y) (* 3 (* (pow x 2) y))) |
(*.f64 y (fma.f64 (*.f64 #s(literal 3 binary64) x) x #s(literal -48/841 binary64))) |
(* -16/841 y) |
(*.f64 #s(literal -16/841 binary64) y) |
(+ (* -16/841 y) (* (pow x 2) y)) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) |
-16/841 |
#s(literal -16/841 binary64) |
(- (pow x 2) 16/841) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
(* -2523/16 y) |
(*.f64 #s(literal -2523/16 binary64) y) |
(+ (* -2523/16 y) (* 73167/64 (* x y))) |
(*.f64 y (fma.f64 #s(literal 73167/64 binary64) x #s(literal -2523/16 binary64))) |
(+ (* -2523/16 y) (* x (+ (* -2121843/128 (* x y)) (* 73167/64 y)))) |
(fma.f64 (*.f64 y (fma.f64 #s(literal -2121843/128 binary64) x #s(literal 73167/64 binary64))) x (*.f64 #s(literal -2523/16 binary64) y)) |
(+ (* -2523/16 y) (* x (+ (* 73167/64 y) (* x (+ (* -2121843/128 y) (* -3 (* x (+ (* -20511149/512 y) (* -20511149/1024 y))))))))) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 #s(literal 184600341/1024 binary64) y)) x (*.f64 y (fma.f64 #s(literal -2121843/128 binary64) x #s(literal 73167/64 binary64)))) x (*.f64 #s(literal -2523/16 binary64) y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal -3 binary64))) x) |
(* x (+ y (* -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) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4/29 (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -4/29 binary64) x) x x) x) |
(* 3 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 3 binary64)) |
(/ (+ (* 48/841 (/ y (pow x 2))) (* 3 y)) x) |
(/.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal -48/841 binary64) (*.f64 x x)))) x) |
(/ (+ (* 192/24389 (/ y (pow x 3))) (+ (* 48/841 (/ y (pow x 2))) (* 3 y))) x) |
(/.f64 (fma.f64 (/.f64 (/.f64 y x) x) (-.f64 #s(literal 48/841 binary64) (/.f64 #s(literal -192/24389 binary64) x)) (*.f64 #s(literal 3 binary64) y)) x) |
(/ (+ (* 1536/707281 (/ y (pow x 4))) (+ (* 192/24389 (/ y (pow x 3))) (+ (* 48/841 (/ y (pow x 2))) (* 3 y)))) x) |
(/.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1536/707281 binary64) x) #s(literal -192/24389 binary64)) (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal -48/841 binary64) (*.f64 x x))))) x) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(*.f64 (*.f64 (*.f64 y (-.f64 (/.f64 #s(literal -48/841 binary64) (*.f64 x x)) #s(literal -3 binary64))) x) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -16/841 binary64) y) x) x) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (/.f64 #s(literal -16/841 binary64) (*.f64 x x)) x x)) |
(* 3 (/ y (pow x 2))) |
(*.f64 (/.f64 (/.f64 y x) x) #s(literal 3 binary64)) |
(/ (+ (* 12/29 (/ y x)) (* 3 y)) (pow x 2)) |
(*.f64 (/.f64 (/.f64 y x) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64))) |
(/ (+ (* 96/841 (/ y (pow x 2))) (+ (* 12/29 (/ y x)) (* 3 y))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 96/841 binary64) x) #s(literal -12/29 binary64)) (*.f64 #s(literal 3 binary64) y)) (*.f64 x x)) |
(/ (+ (* -3 (/ (+ (* -128/24389 y) (* -64/24389 y)) (pow x 3))) (+ (* 96/841 (/ y (pow x 2))) (+ (* 12/29 (/ y x)) (* 3 y)))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (fma.f64 #s(literal 12/29 binary64) y (/.f64 (fma.f64 #s(literal 576/24389 binary64) (/.f64 y x) (*.f64 #s(literal 96/841 binary64) y)) x)) x)) (*.f64 x x)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal -3 binary64))) x) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -4/29 binary64) y) x) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 1 binary64))) |
(* -1 (/ (+ (* -3 y) (* -48/841 (/ y (pow x 2)))) x)) |
(/.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal -48/841 binary64) (*.f64 x x)))) x) |
(* -1 (/ (+ (* -3 y) (+ (* -48/841 (/ y (pow x 2))) (* -192/24389 (/ y (pow x 3))))) x)) |
(/.f64 (fma.f64 (/.f64 (/.f64 y x) x) (-.f64 #s(literal 48/841 binary64) (/.f64 #s(literal -192/24389 binary64) x)) (*.f64 #s(literal 3 binary64) y)) x) |
(* -1 (/ (+ (* -3 y) (+ (* -1 (/ (+ (* 1536/707281 (/ y x)) (* 192/24389 y)) (pow x 3))) (* -48/841 (/ y (pow x 2))))) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 (fma.f64 #s(literal -48/841 binary64) y (/.f64 (fma.f64 #s(literal -1536/707281 binary64) (/.f64 y x) (*.f64 #s(literal -192/24389 binary64) y)) x)) (*.f64 x x))) (neg.f64 x)) |
(/ (+ (* -1 (/ (+ (* -12/29 y) (* -96/841 (/ y x))) x)) (* 3 y)) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 96/841 binary64) x) #s(literal -12/29 binary64)) (*.f64 #s(literal 3 binary64) y)) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 96/841 y) (* 3 (/ (+ (* 64/24389 y) (* 128/24389 y)) x))) x)) (* -12/29 y)) x)) (* 3 y)) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (fma.f64 #s(literal 12/29 binary64) y (/.f64 (fma.f64 #s(literal 576/24389 binary64) (/.f64 y x) (*.f64 #s(literal 96/841 binary64) y)) x)) x)) (*.f64 x x)) |
(* 3 (* y (- x 4/29))) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 (/ (* y (- x 4/29)) (- (+ (* -4/29 x) (pow x 2)) 16/841))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64))) (/.f64 y (-.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) x) #s(literal 16/841 binary64)))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x))) |
(* 3 (* y (- (pow x 2) 16/841))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) |
(* y (- (pow x 2) 16/841)) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) |
(* 3 (/ y (- (+ (* -4/29 x) (pow x 2)) 16/841))) |
(*.f64 (/.f64 y (-.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) x) #s(literal 16/841 binary64))) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 161 |
| 0 | 59 | 150 |
| 1 | 156 | 150 |
| 2 | 861 | 150 |
| 0 | 9772 | 150 |
| 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 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)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y))) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
#s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y)) |
(*.f64 #s(literal -4/29 binary64) x) |
| Outputs |
|---|
(*.f64 (*.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 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64))) |
(*.f64 (*.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))) #s(literal 1 binary64)) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -3 binary64) (+.f64 #s(literal -4/29 binary64) x)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) y) |
(*.f64 (*.f64 (/.f64 #s(literal -3 binary64) (+.f64 #s(literal -4/29 binary64) x)) y) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) (/.f64 #s(literal -3 binary64) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) (/.f64 #s(literal 3 binary64) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.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 (-.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 4/29 binary64) x))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (-.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 y (fma.f64 (-.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 4/29 binary64) x))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (fma.f64 (-.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 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 (-.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 y #s(literal 1 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 (-.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 (-.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 1 binary64)) (/.f64 #s(literal -3 binary64) (+.f64 #s(literal -4/29 binary64) x))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 (-.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 y (-.f64 #s(literal 4/29 binary64) x)))) |
(*.f64 (/.f64 #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 (*.f64 x x) #s(literal 16/841 binary64)) y) (fma.f64 (-.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 #s(literal -3 binary64) (+.f64 #s(literal -4/29 binary64) x)) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) |
(*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) (/.f64 #s(literal -3 binary64) (+.f64 #s(literal -4/29 binary64) x))) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 y (-.f64 #s(literal 4/29 binary64) x)))) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (*.f64 y (/.f64 #s(literal -3 binary64) (+.f64 #s(literal -4/29 binary64) x)))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (-.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)))) |
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(/.f64 (*.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)) (-.f64 #s(literal 4/29 binary64) x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64))) (*.f64 #s(literal 3 binary64) y)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -16/841 binary64)) (-.f64 #s(literal 4/29 binary64) x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) (*.f64 #s(literal 3 binary64) y)) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) (-.f64 #s(literal 4/29 binary64) x))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64)) y) #s(literal 3 binary64)) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (-.f64 #s(literal 4/29 binary64) x))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) y) #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)) (-.f64 #s(literal 4/29 binary64) x))) |
(/.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))) |
(/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) (+.f64 #s(literal -4/29 binary64) x)) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 #s(literal 4/29 binary64) x)) |
(neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 y (-.f64 x #s(literal 4/29 binary64))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (*.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)))) |
(fma.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x))) (*.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)))) |
(*.f64 (neg.f64 (*.f64 (neg.f64 y) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) y) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) y) |
(*.f64 (*.f64 (neg.f64 y) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (*.f64 (neg.f64 y) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (*.f64 #s(literal -3 binary64) y)) |
(*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) |
(*.f64 #s(literal 3 binary64) (neg.f64 (*.f64 (neg.f64 y) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))))) |
(*.f64 #s(literal 3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) |
(*.f64 y (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64)) y) #s(literal 3 binary64))) (fma.f64 (neg.f64 x) x #s(literal -16/841 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64)) y) #s(literal 3 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) |
(neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y))) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) |
(*.f64 y (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64)) y)) (fma.f64 (neg.f64 x) x #s(literal -16/841 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) y)) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64)))) (fma.f64 (neg.f64 x) x #s(literal -16/841 binary64))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64)) y) (fma.f64 x x #s(literal 16/841 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) y) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64))) (fma.f64 x x #s(literal 16/841 binary64))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64)))) (*.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (*.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (fma.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) (fma.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal -16/841 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (fma.f64 x x #s(literal 16/841 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)) #s(literal 4096/594823321 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64))) (fma.f64 (neg.f64 x) x #s(literal -16/841 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) |
(neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
#s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y)) |
(*.f64 #s(literal -4/29 binary64) x) |
(*.f64 x #s(literal -4/29 binary64)) |
Compiled 18 872 to 1 680 computations (91.1% saved)
11 alts after pruning (5 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 509 | 5 | 514 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 513 | 11 | 524 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 33.1% | (/.f64 (*.f64 #s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) |
| ▶ | 55.6% | (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 x #s(literal 4/29 binary64))) |
| ▶ | 54.8% | (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 4/29 binary64) x))) |
| ✓ | 99.6% | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
| ▶ | 56.2% | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
| ✓ | 56.3% | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 99.8% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
| ✓ | 46.2% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ✓ | 56.4% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ✓ | 46.1% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ▶ | 46.2% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
Compiled 219 to 191 computations (12.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 4/29 binary64) x))) | |
| cost-diff | 2 | (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) y) | |
| cost-diff | 0 | #s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) | |
| cost-diff | 0 | (+.f64 x #s(literal 4/29 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal -48/841 binary64) y) | |
| cost-diff | 0 | #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 x #s(literal 4/29 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) y) x) | |
| cost-diff | 0 | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) | |
| 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 203 |
| 0 | 56 | 199 |
| 1 | 94 | 199 |
| 2 | 157 | 199 |
| 3 | 234 | 199 |
| 4 | 329 | 199 |
| 5 | 454 | 199 |
| 6 | 546 | 199 |
| 7 | 644 | 199 |
| 8 | 851 | 199 |
| 9 | 1159 | 199 |
| 10 | 1306 | 199 |
| 11 | 1307 | 199 |
| 0 | 1307 | 199 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.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) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
x |
(/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 x #s(literal 4/29 binary64))) |
#s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) |
(*.f64 #s(literal -48/841 binary64) y) |
#s(literal -48/841 binary64) |
y |
(+.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
(/.f64 (*.f64 #s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 #s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) #s(literal 3 binary64)) |
#s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) |
(*.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
y |
#s(literal 3 binary64) |
(+.f64 x #s(literal 4/29 binary64)) |
#s(literal 4/29 binary64) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 4/29 binary64) x))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
(*.f64 x x) |
x |
#s(literal 16/841 binary64) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
(/.f64 y (-.f64 #s(literal 4/29 binary64) x)) |
y |
(-.f64 #s(literal 4/29 binary64) x) |
#s(literal 4/29 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) |
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
y |
#s(literal 3 binary64) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
x |
(/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 x #s(literal 4/29 binary64))) |
(/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 #s(literal 4/29 binary64) x)) |
#s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) |
(*.f64 #s(literal -48/841 binary64) y) |
#s(literal -48/841 binary64) |
y |
(+.f64 x #s(literal 4/29 binary64)) |
(+.f64 #s(literal 4/29 binary64) x) |
x |
#s(literal 4/29 binary64) |
(/.f64 (*.f64 #s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) #s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y))) |
(*.f64 #s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) #s(literal 3 binary64)) |
#s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) |
(*.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
y |
#s(literal 3 binary64) |
(+.f64 x #s(literal 4/29 binary64)) |
(+.f64 #s(literal 4/29 binary64) x) |
#s(literal 4/29 binary64) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 4/29 binary64) x))) |
(*.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 4/29 binary64) x)) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
(*.f64 x x) |
x |
#s(literal 16/841 binary64) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
(/.f64 y (-.f64 #s(literal 4/29 binary64) x)) |
y |
(-.f64 #s(literal 4/29 binary64) x) |
#s(literal 4/29 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) | |
| accuracy | 0.05078125 | (/.f64 y (-.f64 #s(literal 4/29 binary64) x)) | |
| accuracy | 0.61328125 | (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) | |
| accuracy | 8.140951684551984 | (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 4/29 binary64) x))) | |
| accuracy | 0.2578125 | (*.f64 #s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) #s(literal 3 binary64)) | |
| accuracy | 5.33334054341798 | (/.f64 (*.f64 #s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) | |
| accuracy | 7.1342487788132685 | (*.f64 (*.f64 x x) y) | |
| accuracy | 34.44831708209858 | #s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) | |
| accuracy | 0.0 | (+.f64 x #s(literal 4/29 binary64)) | |
| accuracy | 0.1875 | (*.f64 #s(literal -48/841 binary64) y) | |
| accuracy | 5.33334054341798 | (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 x #s(literal 4/29 binary64))) | |
| accuracy | 28.41585565389656 | #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) | |
| accuracy | 0.0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0.171875 | (*.f64 (*.f64 #s(literal 3 binary64) y) x) | |
| accuracy | 34.37921562198027 | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) | |
| accuracy | 0.046875 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) | |
| accuracy | 0.25 | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) | |
| accuracy | 27.959816110878567 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) |
| 68.0ms | 249× | 0 | valid |
| 2.0ms | 5× | 1 | valid |
| 1.0ms | 2× | 2 | valid |
Compiled 169 to 34 computations (79.9% saved)
ival-mult: 24.0ms (47.4% of total)const: 13.0ms (25.7% of total)ival-div: 7.0ms (13.8% of total)ival-sub: 5.0ms (9.9% of total)adjust: 1.0ms (2% of total)ival-add: 1.0ms (2% 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 #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(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 #s(literal 3 binary64) y) |
(/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 x #s(literal 4/29 binary64))) |
#s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) |
(*.f64 #s(literal -48/841 binary64) y) |
(+.f64 x #s(literal 4/29 binary64)) |
(/.f64 (*.f64 #s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 #s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) #s(literal 3 binary64)) |
#s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) |
(*.f64 (*.f64 x x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 4/29 binary64) x))) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
(/.f64 y (-.f64 #s(literal 4/29 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)) |
(* -48/841 y) |
(+ (* -48/841 y) (* 3 (* (pow x 2) y))) |
4/29 |
(+ 4/29 x) |
(* -16/841 y) |
(+ (* -16/841 y) (* (pow x 2) y)) |
(* (pow x 2) y) |
-48/841 |
(- (* 3 (pow x 2)) 48/841) |
(+ (* -3 (* x y)) (* -12/29 y)) |
-16/841 |
(- (pow x 2) 16/841) |
(* 29/4 y) |
(+ (* 29/4 y) (* 841/16 (* x y))) |
(+ (* 29/4 y) (* x (- (* 24389/64 (* x y)) (* -841/16 y)))) |
(+ (* 29/4 y) (* x (- (* x (- (* 707281/256 (* x y)) (* -24389/64 y))) (* -841/16 y)))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x y) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* 3 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(* x (+ 1 (* 4/29 (/ 1 x)))) |
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2))))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(* -3 (* x y)) |
(* x (+ (* -3 y) (* -12/29 (/ y x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* -4/29 (/ y x))) x) |
(/ (- (+ (* -1 y) (* -16/841 (/ y (pow x 2)))) (* 4/29 (/ y x))) x) |
(/ (- (+ (* -1 y) (* -64/24389 (/ y (pow x 3)))) (+ (* 16/841 (/ y (pow x 2))) (* 4/29 (/ y x)))) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (+ (* 12/29 (/ y x)) (* 3 y)))) |
(* -1 (/ (+ y (* 4/29 (/ y x))) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -16/841 (/ y x)) (* 4/29 y)) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ y x)) (* -16/841 y)) x)) (* 4/29 y)) x))) x)) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* 3 y) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (* y (- (pow x 2) 16/841))) |
(* y (- (pow x 2) 16/841)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (- 4/29 x))) |
(/ y (- 4/29 x)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | inf | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* 3 y) x) (* 3 y) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* -48/841 y) (+ x 4/29) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (* (* x x) y) (/ (* (- (* x x) 16/841) 3) 1) (* (/ (* (- (* x x) 16/841) 3) 1) (/ y (- 4/29 x))) (* (- (* x x) 16/841) 3) (- (* x x) 16/841) (/ y (- 4/29 x))) |
| 4.0ms | y | @ | -inf | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* 3 y) x) (* 3 y) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* -48/841 y) (+ x 4/29) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (* (* x x) y) (/ (* (- (* x x) 16/841) 3) 1) (* (/ (* (- (* x x) 16/841) 3) 1) (/ y (- 4/29 x))) (* (- (* x x) 16/841) 3) (- (* x x) 16/841) (/ y (- 4/29 x))) |
| 3.0ms | x | @ | inf | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* 3 y) x) (* 3 y) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* -48/841 y) (+ x 4/29) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (* (* x x) y) (/ (* (- (* x x) 16/841) 3) 1) (* (/ (* (- (* x x) 16/841) 3) 1) (/ y (- 4/29 x))) (* (- (* x x) 16/841) 3) (- (* x x) 16/841) (/ y (- 4/29 x))) |
| 3.0ms | y | @ | 0 | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* 3 y) x) (* 3 y) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* -48/841 y) (+ x 4/29) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (* (* x x) y) (/ (* (- (* x x) 16/841) 3) 1) (* (/ (* (- (* x x) 16/841) 3) 1) (/ y (- 4/29 x))) (* (- (* x x) 16/841) 3) (- (* x x) 16/841) (/ y (- 4/29 x))) |
| 2.0ms | x | @ | 0 | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* 3 y) x) (* 3 y) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* -48/841 y) (+ x 4/29) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (* (* x x) y) (/ (* (- (* x x) 16/841) 3) 1) (* (/ (* (- (* x x) 16/841) 3) 1) (/ y (- 4/29 x))) (* (- (* x x) 16/841) 3) (- (* x x) 16/841) (/ y (- 4/29 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 449 |
| 1 | 454 | 429 |
| 2 | 1361 | 403 |
| 3 | 4766 | 401 |
| 0 | 8150 | 385 |
| 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)) |
(* -48/841 y) |
(+ (* -48/841 y) (* 3 (* (pow x 2) y))) |
4/29 |
(+ 4/29 x) |
(* -16/841 y) |
(+ (* -16/841 y) (* (pow x 2) y)) |
(* (pow x 2) y) |
-48/841 |
(- (* 3 (pow x 2)) 48/841) |
(+ (* -3 (* x y)) (* -12/29 y)) |
-16/841 |
(- (pow x 2) 16/841) |
(* 29/4 y) |
(+ (* 29/4 y) (* 841/16 (* x y))) |
(+ (* 29/4 y) (* x (- (* 24389/64 (* x y)) (* -841/16 y)))) |
(+ (* 29/4 y) (* x (- (* x (- (* 707281/256 (* x y)) (* -24389/64 y))) (* -841/16 y)))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x y) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* 3 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(* x (+ 1 (* 4/29 (/ 1 x)))) |
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2))))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(* -3 (* x y)) |
(* x (+ (* -3 y) (* -12/29 (/ y x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* -4/29 (/ y x))) x) |
(/ (- (+ (* -1 y) (* -16/841 (/ y (pow x 2)))) (* 4/29 (/ y x))) x) |
(/ (- (+ (* -1 y) (* -64/24389 (/ y (pow x 3)))) (+ (* 16/841 (/ y (pow x 2))) (* 4/29 (/ y x)))) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (+ (* 12/29 (/ y x)) (* 3 y)))) |
(* -1 (/ (+ y (* 4/29 (/ y x))) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -16/841 (/ y x)) (* 4/29 y)) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ y x)) (* -16/841 y)) x)) (* 4/29 y)) x))) x)) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* 3 y) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (* y (- (pow x 2) 16/841))) |
(* y (- (pow x 2) 16/841)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (- 4/29 x))) |
(/ y (- 4/29 x)) |
| Outputs |
|---|
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(+ (* -4/29 y) (* x y)) |
(*.f64 y (-.f64 x #s(literal 4/29 binary64))) |
-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) |
(* -48/841 y) |
(*.f64 #s(literal -48/841 binary64) y) |
(+ (* -48/841 y) (* 3 (* (pow x 2) y))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) x #s(literal -48/841 binary64)) y) |
4/29 |
#s(literal 4/29 binary64) |
(+ 4/29 x) |
(-.f64 x #s(literal -4/29 binary64)) |
(* -16/841 y) |
(*.f64 #s(literal -16/841 binary64) y) |
(+ (* -16/841 y) (* (pow x 2) y)) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
-48/841 |
#s(literal -48/841 binary64) |
(- (* 3 (pow x 2)) 48/841) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 48/841 binary64)) |
(+ (* -3 (* x y)) (* -12/29 y)) |
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)) y) |
-16/841 |
#s(literal -16/841 binary64) |
(- (pow x 2) 16/841) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
(* 29/4 y) |
(*.f64 #s(literal 29/4 binary64) y) |
(+ (* 29/4 y) (* 841/16 (* x y))) |
(*.f64 (fma.f64 #s(literal 841/16 binary64) x #s(literal 29/4 binary64)) y) |
(+ (* 29/4 y) (* x (- (* 24389/64 (* x y)) (* -841/16 y)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 24389/64 binary64) x #s(literal 841/16 binary64)) y) x (*.f64 #s(literal 29/4 binary64) y)) |
(+ (* 29/4 y) (* x (- (* x (- (* 707281/256 (* x y)) (* -24389/64 y))) (* -841/16 y)))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 707281/256 binary64) x #s(literal 24389/64 binary64)) y) x (*.f64 #s(literal 841/16 binary64) y)) x (*.f64 #s(literal 29/4 binary64) y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal -3 binary64))) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* -4/29 (/ y x)))) |
(*.f64 y (-.f64 x #s(literal 4/29 binary64))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(*.f64 (*.f64 (*.f64 y (-.f64 (/.f64 #s(literal -48/841 binary64) (*.f64 x x)) #s(literal -3 binary64))) x) x) |
(* x (+ 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal -4/29 binary64)) |
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -16/841 binary64) y) x) x) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 48/841 binary64) (*.f64 x x))) x) x) |
(* -3 (* x y)) |
(*.f64 (*.f64 #s(literal -3 binary64) y) x) |
(* x (+ (* -3 y) (* -12/29 (/ y x)))) |
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal 3 binary64))) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -16/841 binary64) (*.f64 x x)) x x) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(/ (+ (* -1 y) (* -4/29 (/ y x))) x) |
(*.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 4/29 binary64) x))) |
(/ (- (+ (* -1 y) (* -16/841 (/ y (pow x 2)))) (* 4/29 (/ y x))) x) |
(/.f64 (neg.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 16/841 binary64) x) #s(literal -4/29 binary64)) y)) x) |
(/ (- (+ (* -1 y) (* -64/24389 (/ y (pow x 3)))) (+ (* 16/841 (/ y (pow x 2))) (* 4/29 (/ y x)))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 64/24389 binary64) x) #s(literal -16/841 binary64)) (*.f64 y #s(literal 4/29 binary64))) x) y) (neg.f64 x)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal -3 binary64))) x) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 y (-.f64 x #s(literal 4/29 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 (+ (* 12/29 (/ y x)) (* 3 y)))) |
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal 3 binary64))) x) |
(* -1 (/ (+ y (* 4/29 (/ y x))) x)) |
(*.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 4/29 binary64) x))) |
(* -1 (/ (+ y (* -1 (/ (- (* -16/841 (/ y x)) (* 4/29 y)) x))) x)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 16/841 binary64) x) #s(literal -4/29 binary64)) y)) x) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ y x)) (* -16/841 y)) x)) (* 4/29 y)) x))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 64/24389 binary64) x) #s(literal -16/841 binary64)) (*.f64 y #s(literal 4/29 binary64))) x) y) (neg.f64 x)) |
(* 3 (* y (- x 4/29))) |
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
(* y (- x 4/29)) |
(*.f64 y (-.f64 x #s(literal 4/29 binary64))) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (/.f64 #s(literal 3 binary64) (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)) |
(* 3 (* y (- (pow x 2) 16/841))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) |
(* y (- (pow x 2) 16/841)) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (- 4/29 x))) |
(*.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)) |
(/ y (- 4/29 x)) |
(/.f64 y (-.f64 #s(literal 4/29 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 171 |
| 0 | 56 | 167 |
| 1 | 147 | 167 |
| 2 | 654 | 167 |
| 3 | 6309 | 167 |
| 0 | 8096 | 167 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 #s(literal 3 binary64) y) |
(/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 x #s(literal 4/29 binary64))) |
#s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) |
(*.f64 #s(literal -48/841 binary64) y) |
(+.f64 x #s(literal 4/29 binary64)) |
(/.f64 (*.f64 #s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 #s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) #s(literal 3 binary64)) |
#s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) |
(*.f64 (*.f64 x x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 4/29 binary64) x))) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
(/.f64 y (-.f64 #s(literal 4/29 binary64) x)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- x 4/29) #s(literal -4/29 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 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))) |
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 y (*.f64 #s(literal 3 binary64) #s(approx (- x 4/29) #s(literal -4/29 binary64)))) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) y) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(*.f64 y (*.f64 #s(literal 3 binary64) x)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 (/.f64 (neg.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y))) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 (neg.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y))) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (neg.f64 (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (neg.f64 (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (fma.f64 (neg.f64 x) x #s(literal 16/841 binary64))) (-.f64 #s(literal 4/29 binary64) x)) |
(*.f64 (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64))) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)) (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (/.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) |
(*.f64 (*.f64 (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) #s(literal 1 binary64)) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) |
(*.f64 (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) |
(/.f64 (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 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)))) (fma.f64 (+.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64))) |
(/.f64 (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) #s(literal 1 binary64)) (+.f64 #s(literal 4/29 binary64) x)) |
(/.f64 (*.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.f64 x #s(literal 4/29 binary64))) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) |
(/.f64 (*.f64 (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 x) #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (fma.f64 (neg.f64 x) #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 (neg.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 (neg.f64 x) #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 (+.f64 #s(literal 4/29 binary64) x) x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (+.f64 (neg.f64 x) #s(literal -4/29 binary64))) |
(/.f64 (*.f64 (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64))) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (+.f64 #s(literal 4/29 binary64) x))) |
(/.f64 (*.f64 (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 (+.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64))) |
(/.f64 (*.f64 (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)) (+.f64 #s(literal 4/29 binary64) x))) |
(/.f64 (*.f64 (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (+.f64 #s(literal 4/29 binary64) x)) |
(/.f64 (*.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.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))) (-.f64 (*.f64 x x) (fma.f64 (neg.f64 x) #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(/.f64 (*.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 x) #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 (+.f64 #s(literal 4/29 binary64) x) x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (neg.f64 (-.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 (+.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64))))) |
(/.f64 (*.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (+.f64 (neg.f64 x) #s(literal -4/29 binary64)))) |
(/.f64 (*.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (+.f64 #s(literal 4/29 binary64) x)))) |
(/.f64 (*.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.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 (+.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)) (+.f64 #s(literal 4/29 binary64) x)))) |
(/.f64 (*.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (+.f64 #s(literal 4/29 binary64) x))) |
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(+.f64 (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (/.f64 y (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 4/29 binary64) x) (/.f64 y (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (/.f64 y (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 y (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 y (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (/.f64 y (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 4/29 binary64) x) x) (/.f64 y (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 16/841 binary64) (/.f64 y (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 #s(literal 16/841 binary64) (/.f64 y (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 4/29 binary64) x) x) (/.f64 y (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x #s(literal 16/841 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x #s(literal 16/841 binary64))) #s(literal 4/29 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x #s(literal 16/841 binary64))) x)) |
(+.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x #s(literal 16/841 binary64))) x) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x #s(literal 16/841 binary64))) #s(literal 4/29 binary64))) |
(+.f64 (*.f64 (/.f64 y (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 16/841 binary64))) (*.f64 (/.f64 y (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 4/29 binary64) x))) |
(+.f64 (*.f64 (/.f64 y (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) (*.f64 (/.f64 y (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 y (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 y (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))) |
(+.f64 (*.f64 (/.f64 y (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 4/29 binary64) x) x)) (*.f64 (/.f64 y (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 16/841 binary64))) |
(+.f64 (*.f64 (/.f64 y (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 16/841 binary64)) (*.f64 (/.f64 y (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 4/29 binary64) x) x))) |
Compiled 21 372 to 1 823 computations (91.5% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 692 | 2 | 694 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 694 | 11 | 705 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 33.1% | (/.f64 (*.f64 #s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) |
| 56.2% | (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) #s(approx (+ x 4/29) #s(literal 4/29 binary64))) | |
| 54.8% | (*.f64 (/.f64 y (-.f64 #s(literal 4/29 binary64) x)) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64))) | |
| ✓ | 99.6% | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
| ✓ | 56.2% | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
| ✓ | 56.3% | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 99.8% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
| ✓ | 46.2% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ✓ | 56.4% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ✓ | 46.1% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ✓ | 46.2% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
Compiled 459 to 230 computations (49.9% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- 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 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) #s(approx (+ x 4/29) #s(literal 4/29 binary64))) |
(/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(/.f64 (*.f64 #s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(approx (/ (* y 3) (- (+ (* x x) (* -4/29 x)) 16/841)) (*.f64 #s(literal -2523/16 binary64) y))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(*.f64 (/.f64 y (-.f64 #s(literal 4/29 binary64) x)) (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 4/29 binary64) x))) |
(*.f64 (*.f64 (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64)) (*.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 x #s(literal 4/29 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64)))) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) |
(*.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)))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
5 calls:
| 8.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 6.0ms | y |
| 5.0ms | x |
| 5.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 5.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 99.8% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 99.8% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 99.8% | 1 | x |
| 99.8% | 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 #s(literal 3 binary64) y) 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 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) #s(approx (+ x 4/29) #s(literal 4/29 binary64))) |
(/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 x #s(literal 4/29 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
5 calls:
| 12.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 3.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 99.8% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 99.8% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 99.8% | 1 | x |
| 99.8% | 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 #s(literal 3 binary64) y) 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 #s(literal 3 binary64) y) x)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.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 |
|---|---|---|
| 98.4% | 3 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 98.4% | 3 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 85.6% | 3 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 98.4% | 3 | x |
| 63.6% | 4 | 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 #s(literal 3 binary64) y) 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 #s(literal 3 binary64) y) x)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) 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 |
|---|---|---|
| 98.4% | 3 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 98.4% | 3 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 98.4% | 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:
| 6.0ms | x |
| 1.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 1.0ms | y |
| 1.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 1.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.4% | 1 | y |
| 56.4% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 56.4% | 1 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 56.4% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 56.4% | 1 | x |
Compiled 23 to 27 computations (-17.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 5.261656511003443e-8 | 2502515241.810671 |
| 10.0ms | -4.4128404031478405 | -0.025946479775904693 |
| 14.0ms | 272× | 0 | valid |
Compiled 434 to 446 computations (-2.8% saved)
ival-mult: 3.0ms (39.3% of total)ival-div: 2.0ms (26.2% of total)ival-sub: 1.0ms (13.1% 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 | 5.261656511003443e-8 | 2502515241.810671 |
| 1.0ms | -4.4128404031478405 | -0.025946479775904693 |
Compiled 454 to 456 computations (-0.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 102 |
| 1 | 43 | 102 |
| 2 | 59 | 102 |
| 3 | 68 | 102 |
| 4 | 70 | 102 |
| 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 -1261007895663739/9007199254740992 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (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 -1261007895663739/9007199254740992 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) 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 #s(literal 3 binary64) y) 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 -1261007895663739/9007199254740992 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (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 -1261007895663739/9007199254740992 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) 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 #s(literal 3 binary64) y) x)))) |
(if (or (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (not (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)))) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 82 |
| 1 | 107 | 74 |
| 2 | 286 | 74 |
| 3 | 638 | 74 |
| 4 | 1679 | 74 |
| 5 | 2514 | 74 |
| 6 | 3672 | 74 |
| 7 | 4630 | 74 |
| 8 | 6201 | 74 |
| 0 | 8078 | 68 |
| 0 | 41 | 161 |
| 0 | 59 | 150 |
| 1 | 156 | 150 |
| 2 | 861 | 150 |
| 0 | 9772 | 150 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 116 to 37 computations (68.1% saved)
(negabs y)
Compiled 300 to 142 computations (52.7% saved)
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