
Time bar (total: 5.7s)
| 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)
| 746.0ms | 8 256× | 0 | valid |
ival-mult: 167.0ms (55.7% of total)ival-div: 72.0ms (24% of total)ival-sub: 39.0ms (13% of total)exact: 11.0ms (3.7% of total)ival-true: 6.0ms (2% of total)ival-assert: 3.0ms (1% 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 |
| 158.0ms | 20× | 2 | valid |
| 26.0ms | 474× | 0 | valid |
| 2.0ms | 18× | 1 | valid |
Compiled 71 to 31 computations (56.3% saved)
ival-sub: 158.0ms (92.4% of total)ival-mult: 7.0ms (4.1% of total)ival-div: 5.0ms (2.9% of total)adjust: 1.0ms (0.6% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 41 |
| 1 | 41 | 37 |
| 2 | 93 | 37 |
| 3 | 161 | 37 |
| 4 | 197 | 37 |
| 5 | 209 | 37 |
| 0 | 9 | 7 |
| 0 | 14 | 7 |
| 1 | 18 | 7 |
| 2 | 25 | 7 |
| 3 | 27 | 7 |
| 0 | 27 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 y (*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64)))) |
(negabs y)
Compiled 9 to 9 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
Compiled 9 to 9 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) | |
| cost-diff | 0 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) | |
| cost-diff | 2 | (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 0 | 14 | 21 |
| 1 | 18 | 21 |
| 2 | 25 | 21 |
| 3 | 27 | 21 |
| 0 | 27 | 21 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
x |
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
#s(literal 16 binary64) |
#s(literal 116 binary64) |
#s(literal 3 binary64) |
y |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 y (*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64))) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
#s(literal 4/29 binary64) |
#s(literal 16 binary64) |
#s(literal 116 binary64) |
#s(literal 3 binary64) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) | |
| accuracy | 0.09375 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 13.0ms | 237× | 0 | valid |
| 1.0ms | 10× | 2 | valid |
| 1.0ms | 9× | 1 | valid |
Compiled 31 to 11 computations (64.5% saved)
ival-mult: 3.0ms (38.7% of total)ival-div: 2.0ms (25.8% of total)ival-sub: 1.0ms (12.9% 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)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 257 | 8 | 265 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 258 | 8 | 266 |
| Status | Accuracy | Program |
|---|---|---|
| 82.1% | (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) | |
| ▶ | 68.0% | (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
| ▶ | 99.6% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| 99.6% | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) | |
| ▶ | 99.8% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
| ▶ | 52.3% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ▶ | 48.7% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| 52.3% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
Compiled 194 to 174 computations (10.3% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) | |
| cost-diff | 1 | (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 x #s(literal 4/29 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) | |
| cost-diff | 0 | #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) | |
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) | |
| cost-diff | 0 | #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 155 |
| 0 | 47 | 155 |
| 1 | 74 | 155 |
| 2 | 141 | 155 |
| 3 | 263 | 155 |
| 4 | 395 | 155 |
| 5 | 502 | 155 |
| 6 | 616 | 155 |
| 7 | 671 | 155 |
| 8 | 694 | 155 |
| 9 | 767 | 155 |
| 10 | 868 | 155 |
| 11 | 935 | 155 |
| 12 | 965 | 155 |
| 13 | 1002 | 155 |
| 14 | 1043 | 155 |
| 15 | 1078 | 155 |
| 0 | 1078 | 152 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal -12/29 binary64) |
y |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
#s(literal -12/29 binary64) |
y |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
y |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 64/24389 binary64) |
(fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) |
(fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) |
#s(literal 4/29 binary64) |
#s(literal 16/841 binary64) |
y |
| Outputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
(*.f64 y #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal -12/29 binary64) |
y |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
#s(literal -12/29 binary64) |
y |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
y |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64)) y) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
(*.f64 (*.f64 #s(literal -3 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 y (fma.f64 (-.f64 #s(literal -4/29 binary64) x) x #s(literal -16/841 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 #s(literal -3 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 (-.f64 #s(literal -4/29 binary64) x) x #s(literal -16/841 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 64/24389 binary64) |
(fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) |
(fma.f64 (-.f64 x #s(literal -4/29 binary64)) x #s(literal 16/841 binary64)) |
(fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) |
(fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) |
#s(literal 4/29 binary64) |
#s(literal 16/841 binary64) |
y |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.046875 | (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) | |
| accuracy | 0.078125 | (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) | |
| accuracy | 0.13671875 | (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) | |
| accuracy | 21.236144910824006 | (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) | |
| accuracy | 0.0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.00390625 | (-.f64 x #s(literal 4/29 binary64)) | |
| accuracy | 0.28744125976844204 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 3 binary64) x) | |
| accuracy | 0.13671875 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) | |
| accuracy | 30.674501125324046 | #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) | |
| accuracy | 0.13671875 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) | |
| accuracy | 32.923200578743135 | #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 | 0.13671875 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
| 60.0ms | 207× | 0 | valid |
| 16.0ms | 39× | 1 | valid |
| 6.0ms | 10× | 2 | valid |
Compiled 155 to 29 computations (81.3% saved)
ival-mult: 15.0ms (30.6% of total)const: 13.0ms (26.5% of total)ival-pow: 5.0ms (10.2% of total)ival-div: 4.0ms (8.2% of total)ival-sub: 4.0ms (8.2% of total)ival-add: 4.0ms (8.2% of total)adjust: 3.0ms (6.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) |
(fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) |
| Outputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
-12/29 |
(- (* 3 x) 12/29) |
(* 3 x) |
-4/29 |
(- x 4/29) |
16/841 |
(+ 16/841 (* 4/29 x)) |
(+ 16/841 (* x (+ 4/29 x))) |
(+ (* -12/29 y) (* x (+ (* -3 (* x (+ (* -29/4 y) (* 29/4 y)))) (* 3 y)))) |
(+ (* -12/29 y) (* x (+ (* 3 y) (* x (+ (* -3 (+ (* -29/4 y) (* 29/4 y))) (* 87/4 (* x (+ (* -29/4 y) (* 29/4 y))))))))) |
-192/24389 |
(- (* 3 (pow x 3)) 192/24389) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 4/29 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (/ 16/841 (pow x 2)) (* 4/29 (/ 1 x))))) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y)))) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (+ (* 12/29 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 3))) (* 3 y))))) |
(* 3 (pow x 3)) |
(* (pow x 3) (- 3 (* 192/24389 (/ 1 (pow x 3))))) |
(* 4/29 x) |
(* x (+ 4/29 (* 16/841 (/ 1 x)))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* -12/29 y)) x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 (/ (+ (* -12/29 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* 3 (+ (* -16/841 y) (* 16/841 y)))) x)) (* -12/29 y)) x))))) |
(* -1 (* (pow x 3) (- (* 192/24389 (/ 1 (pow x 3))) 3))) |
(* 3 (* y (- x 4/29))) |
(* 3 y) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (+ (* x x) (+ (* x 4/29) 16/841)) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) (* (- (pow x 3) 64/24389) 3) (+ (* x 4/29) 16/841)) |
| 3.0ms | x | @ | inf | ((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (+ (* x x) (+ (* x 4/29) 16/841)) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) (* (- (pow x 3) 64/24389) 3) (+ (* x 4/29) 16/841)) |
| 2.0ms | x | @ | 0 | ((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (+ (* x x) (+ (* x 4/29) 16/841)) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) (* (- (pow x 3) 64/24389) 3) (+ (* x 4/29) 16/841)) |
| 2.0ms | y | @ | 0 | ((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (+ (* x x) (+ (* x 4/29) 16/841)) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) (* (- (pow x 3) 64/24389) 3) (+ (* x 4/29) 16/841)) |
| 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 x) (+ (* x 4/29) 16/841)) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) (* (- (pow x 3) 64/24389) 3) (+ (* x 4/29) 16/841)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 256 |
| 1 | 432 | 250 |
| 2 | 1865 | 236 |
| 0 | 9104 | 226 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
-12/29 |
(- (* 3 x) 12/29) |
(* 3 x) |
-4/29 |
(- x 4/29) |
16/841 |
(+ 16/841 (* 4/29 x)) |
(+ 16/841 (* x (+ 4/29 x))) |
(+ (* -12/29 y) (* x (+ (* -3 (* x (+ (* -29/4 y) (* 29/4 y)))) (* 3 y)))) |
(+ (* -12/29 y) (* x (+ (* 3 y) (* x (+ (* -3 (+ (* -29/4 y) (* 29/4 y))) (* 87/4 (* x (+ (* -29/4 y) (* 29/4 y))))))))) |
-192/24389 |
(- (* 3 (pow x 3)) 192/24389) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 4/29 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (/ 16/841 (pow x 2)) (* 4/29 (/ 1 x))))) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y)))) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (+ (* 12/29 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 3))) (* 3 y))))) |
(* 3 (pow x 3)) |
(* (pow x 3) (- 3 (* 192/24389 (/ 1 (pow x 3))))) |
(* 4/29 x) |
(* x (+ 4/29 (* 16/841 (/ 1 x)))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* -12/29 y)) x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 (/ (+ (* -12/29 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* 3 (+ (* -16/841 y) (* 16/841 y)))) x)) (* -12/29 y)) x))))) |
(* -1 (* (pow x 3) (- (* 192/24389 (/ 1 (pow x 3))) 3))) |
(* 3 (* y (- x 4/29))) |
(* 3 y) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
| Outputs |
|---|
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
-12/29 |
#s(literal -12/29 binary64) |
(- (* 3 x) 12/29) |
(-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 12/29 binary64)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
16/841 |
#s(literal 16/841 binary64) |
(+ 16/841 (* 4/29 x)) |
(fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) |
(+ 16/841 (* x (+ 4/29 x))) |
(fma.f64 (+.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64)) |
(+ (* -12/29 y) (* x (+ (* -3 (* x (+ (* -29/4 y) (* 29/4 y)))) (* 3 y)))) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(+ (* -12/29 y) (* x (+ (* 3 y) (* x (+ (* -3 (+ (* -29/4 y) (* 29/4 y))) (* 87/4 (* x (+ (* -29/4 y) (* 29/4 y))))))))) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
-192/24389 |
#s(literal -192/24389 binary64) |
(- (* 3 (pow x 3)) 192/24389) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 192/24389 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) x) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(fma.f64 (/.f64 #s(literal -4/29 binary64) x) x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 4/29 (/ 1 x)))) |
(*.f64 x (fma.f64 (/.f64 #s(literal 4/29 binary64) x) x x)) |
(* (pow x 2) (+ 1 (+ (/ 16/841 (pow x 2)) (* 4/29 (/ 1 x))))) |
(*.f64 x (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 16/841 binary64) x) #s(literal 4/29 binary64)) x) x x)) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y)))) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (+ (* 12/29 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 3))) (* 3 y))))) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(* 3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) |
(* (pow x 3) (- 3 (* 192/24389 (/ 1 (pow x 3))))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 192/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* 4/29 x) |
(*.f64 #s(literal 4/29 binary64) x) |
(* x (+ 4/29 (* 16/841 (/ 1 x)))) |
(fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* -12/29 y)) x))))) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 (/ (+ (* -12/29 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* 3 (+ (* -16/841 y) (* 16/841 y)))) x)) (* -12/29 y)) x))))) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(* -1 (* (pow x 3) (- (* 192/24389 (/ 1 (pow x 3))) 3))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 192/24389 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) |
(* 3 (* y (- x 4/29))) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) y) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 128 |
| 0 | 47 | 118 |
| 1 | 147 | 108 |
| 2 | 854 | 108 |
| 0 | 8588 | 107 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) |
(fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) |
| Outputs |
|---|
(*.f64 y #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (*.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x))))) (*.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) (/.f64 #s(literal -1728/24389 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))))) (-.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))) (/.f64 #s(literal -1728/24389 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x)))))) |
(/.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))))))) |
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(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) #s(literal -3 binary64)) |
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(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 262144/14507145975869 binary64)))) (+.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 262144/14507145975869 binary64)) #s(literal 3 binary64))) (+.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64)))) |
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 262144/14507145975869 binary64))) (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 4096/594823321 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 262144/14507145975869 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 4096/594823321 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(neg.f64 (*.f64 #s(literal -3 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64)))) (*.f64 (/.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x)))) (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x))))) (*.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x)))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x)))))) (-.f64 (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x)))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) (fma.f64 (/.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))))))) |
(/.f64 (-.f64 #s(literal 4096/594823321 binary64) (pow.f64 (*.f64 #s(literal -4/29 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 256/707281 binary64) (fma.f64 (*.f64 #s(literal 16/841 binary64) x) x (*.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -4/29 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x)))) (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x)))) (-.f64 (*.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x)))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x))))) (*.f64 (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x)))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (neg.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -4096/594823321 binary64))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x))) #s(literal 4096/594823321 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x))) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64)))) |
(/.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -4096/594823321 binary64)) (neg.f64 (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))))))) |
(/.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -4096/594823321 binary64)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) |
(/.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64)))))) |
(/.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x)))) |
(neg.f64 (fma.f64 #s(literal -4/29 binary64) x #s(literal -16/841 binary64))) |
(fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) |
(fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) |
(-.f64 (/.f64 #s(literal 256/707281 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)))) |
(-.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64)))))) (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))))))) |
(-.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x)))) (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64)))) |
(-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -4/29 binary64) x)) |
(+.f64 (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64)))))) (/.f64 #s(literal 4096/594823321 binary64) (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))))))) |
(+.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64)))))) (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 x #s(literal 4/29 binary64))))))) |
(+.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x)))) (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x))))) |
(+.f64 (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x)))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 64/24389 binary64) x))))) |
(+.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64)) |
(+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) |
Compiled 10 843 to 1 350 computations (87.5% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 335 | 5 | 340 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 337 | 11 | 348 |
| Status | Accuracy | Program |
|---|---|---|
| 82.1% | (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) | |
| 48.2% | (*.f64 (/.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) | |
| ✓ | 99.6% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ▶ | 99.6% | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
| ▶ | 48.6% | (*.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) |
| ✓ | 52.3% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ✓ | 48.7% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ▶ | 88.6% | #s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
| ▶ | 52.3% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ▶ | 52.2% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
Compiled 259 to 223 computations (13.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) | |
| cost-diff | 0 | (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) | |
| cost-diff | 0 | (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) | |
| cost-diff | 0 | #s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 (*.f64 y x) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal 3 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) | |
| cost-diff | 0 | (-.f64 x #s(literal 4/29 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 144 |
| 0 | 51 | 144 |
| 1 | 89 | 142 |
| 2 | 159 | 142 |
| 3 | 276 | 142 |
| 4 | 423 | 142 |
| 5 | 586 | 142 |
| 6 | 754 | 142 |
| 7 | 848 | 142 |
| 8 | 954 | 142 |
| 9 | 1206 | 142 |
| 10 | 1320 | 142 |
| 11 | 1406 | 142 |
| 0 | 1406 | 141 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
y |
#s(literal 3 binary64) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
x |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 3 binary64) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) |
y |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 12/29 binary64) x) |
#s(literal 12/29 binary64) |
x |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64)) y) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
y |
#s(literal 3 binary64) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
y |
#s(literal 3 binary64) |
x |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 3 binary64) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)) y) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
y |
#s(literal 3 binary64) |
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) x)) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) x) |
(*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) |
y |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 12/29 binary64) x) |
#s(literal 12/29 binary64) |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) | |
| accuracy | 0.078125 | (/.f64 #s(literal 12/29 binary64) x) | |
| accuracy | 0.19140625 | (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) | |
| accuracy | 7.2480771219896045 | (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) | |
| accuracy | 0.0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.28744125976844204 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 32.91397051800206 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.19140625 | (*.f64 (*.f64 y x) #s(literal 3 binary64)) | |
| accuracy | 30.435507712968406 | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) | |
| accuracy | 0.0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.2109375 | (*.f64 (*.f64 y #s(literal 3 binary64)) x) | |
| accuracy | 30.435507712968406 | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) | |
| accuracy | 0.00390625 | (-.f64 x #s(literal 4/29 binary64)) | |
| accuracy | 0.078125 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) | |
| accuracy | 0.28125 | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
| 109.0ms | 239× | 0 | valid |
| 6.0ms | 11× | 1 | valid |
| 4.0ms | 6× | 2 | valid |
Compiled 124 to 37 computations (70.2% saved)
ival-pow: 38.0ms (37% of total)ival-mult: 34.0ms (33.1% of total)const: 15.0ms (14.6% of total)ival-div: 6.0ms (5.8% of total)ival-sub: 5.0ms (4.9% of total)ival-add: 2.0ms (1.9% of total)adjust: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(-.f64 x #s(literal 4/29 binary64)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(*.f64 y #s(literal 3 binary64)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 y x) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) |
(/.f64 #s(literal 12/29 binary64) x) |
| Outputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
-4/29 |
(- x 4/29) |
(* 3 (* x y)) |
(* x y) |
(+ (* -12/29 y) (* x (+ (* -3 (* x (+ (* -29/4 y) (* 29/4 y)))) (* 3 y)))) |
(+ (* -12/29 y) (* x (+ (* 3 y) (* x (+ (* -3 (+ (* -29/4 y) (* 29/4 y))) (* 87/4 (* x (+ (* -29/4 y) (* 29/4 y))))))))) |
(* -12/29 (/ y x)) |
(/ (+ (* -12/29 y) (* 3 (* x y))) x) |
(/ -12/29 x) |
(/ (- (* 3 x) 12/29) x) |
(/ 12/29 x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y)))) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (+ (* 12/29 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 3))) (* 3 y))))) |
(* 3 y) |
(+ (* -12/29 (/ y x)) (* 3 y)) |
3 |
(- 3 (* 12/29 (/ 1 x))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* -12/29 y)) x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 (/ (+ (* -12/29 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* 3 (+ (* -16/841 y) (* 16/841 y)))) x)) (* -12/29 y)) x))))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
(* x (* y (- 3 (* 12/29 (/ 1 x))))) |
(* y (- 3 (* 12/29 (/ 1 x)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | y | @ | 0 | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (- x 4/29) (* y 3)) (- x 4/29) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (- 3 (/ 12/29 x)) (/ 12/29 x)) |
| 4.0ms | y | @ | -inf | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (- x 4/29) (* y 3)) (- x 4/29) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (- 3 (/ 12/29 x)) (/ 12/29 x)) |
| 3.0ms | y | @ | inf | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (- x 4/29) (* y 3)) (- x 4/29) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (- 3 (/ 12/29 x)) (/ 12/29 x)) |
| 2.0ms | x | @ | -inf | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (- x 4/29) (* y 3)) (- x 4/29) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (- 3 (/ 12/29 x)) (/ 12/29 x)) |
| 2.0ms | x | @ | 0 | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (- x 4/29) (* y 3)) (- x 4/29) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (- 3 (/ 12/29 x)) (/ 12/29 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 250 |
| 1 | 406 | 222 |
| 2 | 1790 | 218 |
| 0 | 8931 | 210 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
-4/29 |
(- x 4/29) |
(* 3 (* x y)) |
(* x y) |
(+ (* -12/29 y) (* x (+ (* -3 (* x (+ (* -29/4 y) (* 29/4 y)))) (* 3 y)))) |
(+ (* -12/29 y) (* x (+ (* 3 y) (* x (+ (* -3 (+ (* -29/4 y) (* 29/4 y))) (* 87/4 (* x (+ (* -29/4 y) (* 29/4 y))))))))) |
(* -12/29 (/ y x)) |
(/ (+ (* -12/29 y) (* 3 (* x y))) x) |
(/ -12/29 x) |
(/ (- (* 3 x) 12/29) x) |
(/ 12/29 x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y)))) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (+ (* 12/29 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 3))) (* 3 y))))) |
(* 3 y) |
(+ (* -12/29 (/ y x)) (* 3 y)) |
3 |
(- 3 (* 12/29 (/ 1 x))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* -12/29 y)) x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 (/ (+ (* -12/29 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* 3 (+ (* -16/841 y) (* 16/841 y)))) x)) (* -12/29 y)) x))))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
(* x (* y (- 3 (* 12/29 (/ 1 x))))) |
(* y (- 3 (* 12/29 (/ 1 x)))) |
| Outputs |
|---|
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(+ (* -4/29 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* x y) |
(*.f64 y x) |
(+ (* -12/29 y) (* x (+ (* -3 (* x (+ (* -29/4 y) (* 29/4 y)))) (* 3 y)))) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(+ (* -12/29 y) (* x (+ (* 3 y) (* x (+ (* -3 (+ (* -29/4 y) (* 29/4 y))) (* 87/4 (* x (+ (* -29/4 y) (* 29/4 y))))))))) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(* -12/29 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal -12/29 binary64)) |
(/ (+ (* -12/29 y) (* 3 (* x y))) x) |
(*.f64 (/.f64 y x) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(/ -12/29 x) |
(/.f64 #s(literal -12/29 binary64) x) |
(/ (- (* 3 x) 12/29) x) |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) |
(/ 12/29 x) |
(/.f64 #s(literal 12/29 binary64) x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) y) |
(* x (+ y (* -4/29 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -4/29 binary64) y) x) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(fma.f64 (/.f64 #s(literal -4/29 binary64) x) x x) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y)))) |
(*.f64 (*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) y) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (+ (* 12/29 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 3))) (* 3 y))))) |
(*.f64 (*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(+ (* -12/29 (/ y x)) (* 3 y)) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) |
3 |
#s(literal 3 binary64) |
(- 3 (* 12/29 (/ 1 x))) |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) y) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -4/29 binary64) y) x) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* -12/29 y)) x))))) |
(*.f64 (*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) y) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 (/ (+ (* -12/29 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* 3 (+ (* -16/841 y) (* 16/841 y)))) x)) (* -12/29 y)) x))))) |
(*.f64 (*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) |
(* x (* y (- 3 (* 12/29 (/ 1 x))))) |
(*.f64 (*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) y) |
(* y (- 3 (* 12/29 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 124 |
| 0 | 51 | 124 |
| 1 | 165 | 112 |
| 2 | 896 | 112 |
| 0 | 8837 | 112 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(-.f64 x #s(literal 4/29 binary64)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(*.f64 y #s(literal 3 binary64)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 y x) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
(*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x) |
(*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) |
(/.f64 #s(literal 12/29 binary64) x) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 #s(literal -3 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64))))) (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64))) |
(*.f64 (*.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 #s(literal 3 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 4/29 binary64) x (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64))))) (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 4/29 binary64) x (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 y (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 #s(literal 3 binary64) (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64))))) (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64))) |
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(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- x 4/29) #s(literal -4/29 binary64))) y) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)) y) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)) |
(*.f64 y (*.f64 #s(literal 3 binary64) #s(approx (- x 4/29) #s(literal -4/29 binary64)))) |
(*.f64 y (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64))) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) x)) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) x) y) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) x) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) (*.f64 y x)) |
(*.f64 (*.f64 y x) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) |
(*.f64 y (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) x)) |
(*.f64 x (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y)) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) |
(*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64))) y)) (+.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal -3 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal -3 binary64))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 27 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64))) y) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) y) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 y (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) |
(/.f64 (*.f64 y (-.f64 #s(literal 27 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))))) (+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -9 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 27 binary64) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (+.f64 #s(literal -9 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal -3 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) |
(/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) |
(neg.f64 (/.f64 (+.f64 #s(literal -9 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -12/29 binary64) x) #s(literal -3 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))))) |
(-.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 12/29 binary64) x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) |
(+.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) (/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) |
(/.f64 #s(literal -12/29 binary64) (neg.f64 x)) |
(/.f64 #s(literal 12/29 binary64) x) |
(neg.f64 (/.f64 #s(literal -12/29 binary64) x)) |
(sqrt.f64 (pow.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 2 binary64))) |
(fabs.f64 (/.f64 #s(literal -12/29 binary64) x)) |
(fabs.f64 (/.f64 #s(literal 12/29 binary64) x)) |
Compiled 5 956 to 747 computations (87.5% saved)
12 alts after pruning (4 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 191 | 2 | 193 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 192 | 12 | 204 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 82.1% | (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) |
| ▶ | 48.2% | (*.f64 (/.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
| ✓ | 99.6% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 99.6% | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
| ▶ | 48.5% | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
| ✓ | 48.6% | (*.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) |
| ✓ | 52.3% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ✓ | 48.7% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ▶ | 37.7% | #s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x)) |
| ✓ | 52.3% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ✓ | 52.2% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
Compiled 167 to 145 computations (13.2% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) | |
| cost-diff | 0 | #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) | |
| cost-diff | 1 | (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) | |
| cost-diff | 0 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (/.f64 y x) #s(literal -12/29 binary64)) | |
| cost-diff | 0 | #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x) | |
| cost-diff | 0 | #s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 202 |
| 0 | 56 | 202 |
| 1 | 91 | 202 |
| 2 | 175 | 202 |
| 3 | 308 | 202 |
| 4 | 459 | 202 |
| 5 | 596 | 202 |
| 6 | 757 | 202 |
| 7 | 863 | 202 |
| 8 | 1031 | 202 |
| 9 | 1339 | 202 |
| 10 | 1476 | 202 |
| 11 | 1540 | 202 |
| 0 | 1540 | 198 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x)) |
(*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x) |
#s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) |
(*.f64 (/.f64 y x) #s(literal -12/29 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal -12/29 binary64) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
y |
#s(literal 3 binary64) |
(*.f64 (/.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
(/.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) |
#s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) |
#s(literal -192/24389 binary64) |
(fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) |
x |
(fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) |
#s(literal 4/29 binary64) |
#s(literal 16/841 binary64) |
y |
(/.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 |
|---|
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x)) |
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 #s(literal -12/29 binary64) (/.f64 y x))) x)) |
(*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x) |
(*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 #s(literal -12/29 binary64) (/.f64 y x))) x) |
#s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) |
#s(approx (* y (- 3 (/ 12/29 x))) (*.f64 #s(literal -12/29 binary64) (/.f64 y x))) |
(*.f64 (/.f64 y x) #s(literal -12/29 binary64)) |
(*.f64 #s(literal -12/29 binary64) (/.f64 y x)) |
(/.f64 y x) |
y |
x |
#s(literal -12/29 binary64) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
y |
#s(literal 3 binary64) |
(*.f64 (/.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
(/.f64 (*.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) y) (fma.f64 (-.f64 x #s(literal -4/29 binary64)) x #s(literal 16/841 binary64))) |
(/.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) |
(/.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) (fma.f64 (-.f64 x #s(literal -4/29 binary64)) x #s(literal 16/841 binary64))) |
#s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) |
#s(literal -192/24389 binary64) |
(fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) |
(fma.f64 (-.f64 x #s(literal -4/29 binary64)) x #s(literal 16/841 binary64)) |
x |
(fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) |
(fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) |
#s(literal 4/29 binary64) |
#s(literal 16/841 binary64) |
y |
(/.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 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0234375 | (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) | |
| accuracy | 0.23828125 | (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) | |
| accuracy | 3.8666702456913735 | (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) | |
| accuracy | 7.673624313706576 | (/.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 | 0.078125 | (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) | |
| accuracy | 0.13671875 | (*.f64 (/.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) | |
| accuracy | 21.236144910824006 | (/.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) | |
| accuracy | 32.923629586669044 | #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) | |
| accuracy | 0.078125 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) | |
| accuracy | 0.28125 | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) | |
| accuracy | 32.91397051800206 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| accuracy | 0.0 | #s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x)) | |
| accuracy | 0.1953125 | (*.f64 (/.f64 y x) #s(literal -12/29 binary64)) | |
| accuracy | 7.2480771219896045 | (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x) | |
| accuracy | 32.555017267743295 | #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) |
| 97.0ms | 201× | 0 | valid |
| 23.0ms | 41× | 1 | valid |
| 12.0ms | 14× | 2 | valid |
Compiled 173 to 35 computations (79.8% saved)
ival-mult: 63.0ms (55.3% of total)const: 21.0ms (18.4% of total)ival-div: 10.0ms (8.8% of total)ival-sub: 6.0ms (5.3% of total)ival-pow: 6.0ms (5.3% of total)adjust: 4.0ms (3.5% of total)ival-add: 4.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x)) |
(*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x) |
#s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) |
(*.f64 (/.f64 y x) #s(literal -12/29 binary64)) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) |
(*.f64 (/.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
(/.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) |
#s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
(fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) |
| Outputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* x (+ (* -3 (* x (+ (* -29/4 y) (* 29/4 y)))) (* 3 y)))) |
(+ (* -12/29 y) (* x (+ (* 3 y) (* x (+ (* -3 (+ (* -29/4 y) (* 29/4 y))) (* 87/4 (* x (+ (* -29/4 y) (* 29/4 y))))))))) |
(* -12/29 (/ y x)) |
(/ (+ (* -12/29 y) (* 3 (* x y))) x) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
-4/29 |
(- x 4/29) |
16/841 |
(+ 16/841 (* 4/29 x)) |
(+ 16/841 (* x (+ 4/29 x))) |
-12/29 |
(- (* 3 x) 12/29) |
-192/24389 |
(- (* 3 (pow x 3)) 192/24389) |
(* -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) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y)))) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (+ (* 12/29 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 3))) (* 3 y))))) |
(* 3 y) |
(+ (* -12/29 (/ y x)) (* 3 y)) |
(* x y) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 4/29 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (/ 16/841 (pow x 2)) (* 4/29 (/ 1 x))))) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (pow x 3)) |
(* (pow x 3) (- 3 (* 192/24389 (/ 1 (pow x 3))))) |
(* 3 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(* (pow x 2) y) |
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2))))) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* 4/29 x) |
(* x (+ 4/29 (* 16/841 (/ 1 x)))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* -12/29 y)) x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 (/ (+ (* -12/29 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* 3 (+ (* -16/841 y) (* 16/841 y)))) x)) (* -12/29 y)) x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* (pow x 3) (- (* 192/24389 (/ 1 (pow x 3))) 3))) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
(* x (* y (- 3 (* 12/29 (/ 1 x))))) |
(* y (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (* y (- (pow x 2) 16/841))) |
(* y (- (pow x 2) 16/841)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 69.0ms | y | @ | 0 | ((* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (* (/ y x) -12/29) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (+ (* x x) (+ (* x 4/29) 16/841)) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) (* (- (pow x 3) 64/24389) 3) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841) (+ (* x 4/29) 16/841)) |
| 5.0ms | y | @ | -inf | ((* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (* (/ y x) -12/29) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (+ (* x x) (+ (* x 4/29) 16/841)) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) (* (- (pow x 3) 64/24389) 3) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841) (+ (* x 4/29) 16/841)) |
| 4.0ms | y | @ | inf | ((* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (* (/ y x) -12/29) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (+ (* x x) (+ (* x 4/29) 16/841)) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) (* (- (pow x 3) 64/24389) 3) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841) (+ (* x 4/29) 16/841)) |
| 3.0ms | x | @ | inf | ((* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (* (/ y x) -12/29) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (+ (* x x) (+ (* x 4/29) 16/841)) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) (* (- (pow x 3) 64/24389) 3) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841) (+ (* x 4/29) 16/841)) |
| 3.0ms | x | @ | -inf | ((* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (* (* y (- 3 (/ 12/29 x))) x) (* y (- 3 (/ 12/29 x))) (* (/ y x) -12/29) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (+ (* x x) (+ (* x 4/29) 16/841)) (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) (* (- (pow x 3) 64/24389) 3) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841) (+ (* x 4/29) 16/841)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 164 | 532 |
| 1 | 556 | 471 |
| 2 | 2269 | 466 |
| 0 | 8369 | 438 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* x (+ (* -3 (* x (+ (* -29/4 y) (* 29/4 y)))) (* 3 y)))) |
(+ (* -12/29 y) (* x (+ (* 3 y) (* x (+ (* -3 (+ (* -29/4 y) (* 29/4 y))) (* 87/4 (* x (+ (* -29/4 y) (* 29/4 y))))))))) |
(* -12/29 (/ y x)) |
(/ (+ (* -12/29 y) (* 3 (* x y))) x) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
-4/29 |
(- x 4/29) |
16/841 |
(+ 16/841 (* 4/29 x)) |
(+ 16/841 (* x (+ 4/29 x))) |
-12/29 |
(- (* 3 x) 12/29) |
-192/24389 |
(- (* 3 (pow x 3)) 192/24389) |
(* -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) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y)))) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (+ (* 12/29 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 3))) (* 3 y))))) |
(* 3 y) |
(+ (* -12/29 (/ y x)) (* 3 y)) |
(* x y) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 4/29 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (/ 16/841 (pow x 2)) (* 4/29 (/ 1 x))))) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (pow x 3)) |
(* (pow x 3) (- 3 (* 192/24389 (/ 1 (pow x 3))))) |
(* 3 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(* (pow x 2) y) |
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2))))) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* 4/29 x) |
(* x (+ 4/29 (* 16/841 (/ 1 x)))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* -12/29 y)) x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 (/ (+ (* -12/29 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* 3 (+ (* -16/841 y) (* 16/841 y)))) x)) (* -12/29 y)) x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* (pow x 3) (- (* 192/24389 (/ 1 (pow x 3))) 3))) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
(* x (* y (- 3 (* 12/29 (/ 1 x))))) |
(* y (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (* y (- (pow x 2) 16/841))) |
(* y (- (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 y) (* x (+ (* -3 (* x (+ (* -29/4 y) (* 29/4 y)))) (* 3 y)))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 y #s(literal 3 binary64))) x (*.f64 #s(literal -12/29 binary64) y)) |
(+ (* -12/29 y) (* x (+ (* 3 y) (* x (+ (* -3 (+ (* -29/4 y) (* 29/4 y))) (* 87/4 (* x (+ (* -29/4 y) (* 29/4 y))))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 0 binary64)) x (*.f64 y #s(literal 3 binary64))) x (*.f64 #s(literal -12/29 binary64) y)) |
(* -12/29 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal -12/29 binary64)) |
(/ (+ (* -12/29 y) (* 3 (* x y))) x) |
(*.f64 (/.f64 y x) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(+ (* -4/29 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
16/841 |
#s(literal 16/841 binary64) |
(+ 16/841 (* 4/29 x)) |
(fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) |
(+ 16/841 (* x (+ 4/29 x))) |
(fma.f64 (+.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64)) |
-12/29 |
#s(literal -12/29 binary64) |
(- (* 3 x) 12/29) |
(-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 12/29 binary64)) |
-192/24389 |
#s(literal -192/24389 binary64) |
(- (* 3 (pow x 3)) 192/24389) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 192/24389 binary64)) |
(* -48/841 y) |
(*.f64 #s(literal -48/841 binary64) y) |
(+ (* -48/841 y) (* 3 (* (pow x 2) y))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 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)) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) x) y) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (* 3 y)))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (fma.f64 #s(literal -12/29 binary64) y (/.f64 #s(literal 0 binary64) x)) x)) x) |
(* x (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 2))) (+ (* -12/29 (/ y x)) (+ (* 12/29 (/ (+ (* -16/841 y) (* 16/841 y)) (pow x 3))) (* 3 y))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -12/29 binary64) x) (+.f64 (/.f64 #s(literal 0 binary64) x) y) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) x) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(+ (* -12/29 (/ y x)) (* 3 y)) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* -4/29 (/ y x)))) |
(*.f64 (fma.f64 #s(literal -4/29 binary64) (/.f64 y x) y) x) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/29 binary64) x)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 4/29 (/ 1 x)))) |
(*.f64 x (fma.f64 (/.f64 #s(literal 4/29 binary64) x) x x)) |
(* (pow x 2) (+ 1 (+ (/ 16/841 (pow x 2)) (* 4/29 (/ 1 x))))) |
(*.f64 x (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 16/841 binary64) x) #s(literal 4/29 binary64)) x) x x)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) x) |
(* 3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) |
(* (pow x 3) (- 3 (* 192/24389 (/ 1 (pow x 3))))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 192/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(*.f64 (*.f64 (*.f64 y (-.f64 (/.f64 #s(literal -48/841 binary64) (*.f64 x x)) #s(literal -3 binary64))) x) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -16/841 binary64) y) x) x) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (*.f64 x x))) x) x) |
(* 4/29 x) |
(*.f64 #s(literal 4/29 binary64) x) |
(* x (+ 4/29 (* 16/841 (/ 1 x)))) |
(*.f64 (+.f64 (/.f64 #s(literal 16/841 binary64) x) #s(literal 4/29 binary64)) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) x) y) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -3 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* -12/29 y)) x))))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (fma.f64 #s(literal -12/29 binary64) y (/.f64 #s(literal 0 binary64) x)) x)) x) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 (/ (+ (* -12/29 (/ (+ (* -16/841 y) (* 16/841 y)) x)) (* 3 (+ (* -16/841 y) (* 16/841 y)))) x)) (* -12/29 y)) x))))) |
(*.f64 (fma.f64 (neg.f64 y) #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal -12/29 binary64) y (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) x)) x)) x) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 (fma.f64 #s(literal -4/29 binary64) (/.f64 y x) y) x) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* 192/24389 (/ 1 (pow x 3))) 3))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 192/24389 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) |
(* 3 (/ (* y (- (pow x 3) 64/24389)) (+ 16/841 (+ (* 4/29 x) (pow x 2))))) |
(/.f64 (*.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 4/29 binary64) x) x #s(literal 16/841 binary64))) |
(* x (* y (- 3 (* 12/29 (/ 1 x))))) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) x) y) |
(* y (- 3 (* 12/29 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* 3 (/ (* y (- (pow x 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 177 |
| 0 | 56 | 177 |
| 1 | 183 | 167 |
| 2 | 1090 | 167 |
| 0 | 8418 | 164 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x)) |
(*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x) |
#s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) |
(*.f64 (/.f64 y x) #s(literal -12/29 binary64)) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) |
(*.f64 (/.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
(/.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) |
#s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
(fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) |
| Outputs |
|---|
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 #s(literal -12/29 binary64) (/.f64 y x))) x)) |
(*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 #s(literal -12/29 binary64) (/.f64 y x))) x) |
(*.f64 x #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 #s(literal -12/29 binary64) (/.f64 y x)))) |
#s(approx (* y (- 3 (/ 12/29 x))) (*.f64 #s(literal -12/29 binary64) (/.f64 y x))) |
(*.f64 #s(literal -12/29 binary64) (/.f64 y x)) |
(*.f64 (/.f64 y x) #s(literal -12/29 binary64)) |
(*.f64 y (/.f64 #s(literal -12/29 binary64) x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 12/29 binary64) y)) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 12/29 binary64) y) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal -12/29 binary64) y) x) |
(neg.f64 (*.f64 #s(literal -12/29 binary64) (/.f64 (neg.f64 y) x))) |
(neg.f64 (*.f64 #s(literal -12/29 binary64) (/.f64 y (neg.f64 x)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(literal -12/29 binary64))) |
(neg.f64 (*.f64 (/.f64 y (neg.f64 x)) #s(literal -12/29 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- x 4/29) #s(literal -4/29 binary64))) y) |
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 y (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) |
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))))) (fma.f64 (neg.f64 x) (+.f64 #s(literal 4/29 binary64) x) #s(literal -16/841 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (*.f64 (*.f64 x x) #s(literal 16/841 binary64))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)))) |
(/.f64 (-.f64 #s(literal 256/707281 binary64) (pow.f64 (*.f64 x (+.f64 #s(literal 4/29 binary64) x)) #s(literal 2 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 #s(literal 4/29 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (fma.f64 x x #s(literal 16/841 binary64)))) (-.f64 (*.f64 #s(literal 4/29 binary64) x) (fma.f64 x x #s(literal 16/841 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #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))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #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 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #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 4 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 (neg.f64 x) x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x #s(literal 16/841 binary64)) (fma.f64 x x #s(literal 16/841 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(literal 4096/594823321 binary64) (pow.f64 (*.f64 x (+.f64 #s(literal 4/29 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 256/707281 binary64) (-.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 4/29 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 #s(literal 4/29 binary64) x)))))) |
(/.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (*.f64 (*.f64 #s(literal 4/29 binary64) x) (fma.f64 x x #s(literal 16/841 binary64)))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) |
(/.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (+.f64 #s(literal 256/707281 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (*.f64 (neg.f64 x) #s(literal 64/24389 binary64))))) |
(/.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64))))) |
(fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) |
(fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) |
(-.f64 (/.f64 #s(literal 256/707281 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)))) |
(-.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 #s(literal 256/707281 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (*.f64 (neg.f64 x) #s(literal 64/24389 binary64))))) (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 256/707281 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (*.f64 (neg.f64 x) #s(literal 64/24389 binary64)))))) |
(-.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64))))) (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64)))) |
(-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -4/29 binary64) x)) |
(+.f64 (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 256/707281 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (*.f64 (neg.f64 x) #s(literal 64/24389 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (+.f64 #s(literal 256/707281 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (*.f64 (neg.f64 x) #s(literal 64/24389 binary64)))))) |
(+.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 #s(literal 256/707281 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (*.f64 (neg.f64 x) #s(literal 64/24389 binary64))))) (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 256/707281 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (*.f64 (neg.f64 x) #s(literal 64/24389 binary64)))))) |
(+.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64))))) (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) #s(literal 16/841 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 x #s(literal 64/24389 binary64)))))) |
(+.f64 #s(literal 16/841 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 4/29 binary64))) |
(+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) |
(+.f64 (*.f64 #s(literal 4/29 binary64) x) #s(literal 16/841 binary64)) |
Compiled 8 873 to 1 211 computations (86.4% saved)
12 alts after pruning (3 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 285 | 3 | 288 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 8 | 8 |
| Total | 288 | 12 | 300 |
| Status | Accuracy | Program |
|---|---|---|
| 35.1% | (/.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))) | |
| 47.9% | (/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 x #s(literal 4/29 binary64))) | |
| 48.2% | (*.f64 (/.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) #s(approx (+ (* x x) (+ (* x 4/29) 16/841)) #s(literal 16/841 binary64))) y) | |
| ✓ | 99.6% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 99.6% | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
| ✓ | 48.5% | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
| ✓ | 48.6% | (*.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) |
| ✓ | 52.3% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ✓ | 48.7% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ✓ | 52.3% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ✓ | 52.2% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
Compiled 447 to 245 computations (45.2% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) #s(approx (+ (* x x) (+ (* x 4/29) 16/841)) #s(literal 16/841 binary64))) y) |
(/.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 (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 #s(approx (* y (- 3 (/ 12/29 x))) (*.f64 (/.f64 y x) #s(literal -12/29 binary64))) x)) |
#s(approx (* (/ (* (- (pow x 3) 64/24389) 3) (+ (* x x) (+ (* x 4/29) 16/841))) y) (*.f64 (*.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)) |
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 (/.f64 #s(approx (* (- (pow x 3) 64/24389) 3) #s(literal -192/24389 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
(/.f64 (*.f64 #s(approx (* (- (* x x) 16/841) y) (*.f64 (*.f64 x x) y)) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) y) |
| Outputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y) |
5 calls:
| 137.0ms | x |
| 5.0ms | y |
| 5.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 5.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 4.0ms | (-.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 y #s(literal 3 binary64)) x)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
5 calls:
| 132.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 2.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 3 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 97.2% | 3 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 78.7% | 3 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 97.2% | 3 | x |
| 56.2% | 3 | y |
Compiled 23 to 27 computations (-17.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
| Outputs |
|---|
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
3 calls:
| 1.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 1.0ms | x |
| 1.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 3 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 97.1% | 3 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 97.1% | 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:
| 1.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 (-.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 |
|---|---|---|
| 48.7% | 1 | y |
| 48.7% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 48.7% | 1 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 48.7% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 48.7% | 1 | x |
Compiled 23 to 27 computations (-17.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 140.0ms | 0.04264995278084728 | 0.4995653338906194 |
| 11.0ms | -0.2412986389596484 | -2.316585810637604e-5 |
| 11.0ms | 224× | 0 | valid |
Compiled 376 to 378 computations (-0.5% saved)
ival-mult: 3.0ms (50.6% of total)ival-div: 2.0ms (33.7% of total)ival-sub: 1.0ms (16.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.04264995278084728 | 0.4995653338906194 |
| 1.0ms | -0.2412986389596484 | -2.316585810637604e-5 |
Compiled 376 to 378 computations (-0.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 83 |
| 1 | 38 | 83 |
| 2 | 45 | 83 |
| 3 | 47 | 83 |
| 1× | saturated |
| Inputs |
|---|
(*.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 y x) #s(literal 3 binary64))) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| Outputs |
|---|
(*.f64 #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 y x) #s(literal 3 binary64))) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(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 y x) #s(literal 3 binary64))) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)) |
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)))) |
(if (or (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (not (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)))) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 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 | 129 | 256 |
| 1 | 432 | 250 |
| 2 | 1865 | 236 |
| 0 | 9104 | 226 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 126 to 64 computations (49.2% saved)
(negabs y)
Compiled 250 to 118 computations (52.8% saved)
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