
Time bar (total: 5.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 11 computations (0% saved)
| 700.0ms | 8 256× | 0 | valid |
ival-mult: 201.0ms (46.1% of total)ival-div: 151.0ms (34.6% of total)ival-sub: 65.0ms (14.9% of total)exact: 11.0ms (2.5% of total)ival-true: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 16 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 116 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 50.0ms | 482× | 0 | valid |
| 3.0ms | 20× | 2 | valid |
| 1.0ms | 10× | 1 | valid |
Compiled 100 to 40 computations (60% saved)
ival-mult: 7.0ms (44.3% of total)ival-div: 4.0ms (25.3% of total)ival-sub: 3.0ms (19% of total)adjust: 1.0ms (6.3% of total)exact: 1.0ms (6.3% 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 | 56 | 37 |
| 2 | 160 | 35 |
| 3 | 542 | 35 |
| 4 | 1701 | 35 |
| 5 | 1968 | 35 |
| 6 | 2223 | 35 |
| 7 | 2360 | 35 |
| 8 | 2416 | 35 |
| 9 | 2435 | 35 |
| 0 | 9 | 7 |
| 0 | 14 | 7 |
| 1 | 21 | 7 |
| 2 | 36 | 7 |
| 3 | 66 | 7 |
| 4 | 88 | 7 |
| 0 | 88 | 6 |
| 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 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(negabs y)
Compiled 9 to 9 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
Compiled 9 to 9 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) | |
| cost-diff | 128 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) | |
| cost-diff | 704 | (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 0 | 14 | 21 |
| 1 | 21 | 21 |
| 2 | 36 | 21 |
| 3 | 66 | 21 |
| 4 | 88 | 21 |
| 0 | 88 | 19 |
| 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 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
#s(literal 4/29 binary64) |
#s(literal 16 binary64) |
#s(literal 116 binary64) |
#s(literal 3 binary64) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) | |
| accuracy | 0.0 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) | |
| accuracy | 0.07421875 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) | |
| accuracy | 0.125 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 13.0ms | 241× | 0 | valid |
| 1.0ms | 10× | 2 | valid |
| 1.0ms | 5× | 1 | valid |
Compiled 60 to 20 computations (66.7% saved)
ival-mult: 3.0ms (39% of total)ival-div: 2.0ms (26% of total)ival-sub: 1.0ms (13% 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 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Outputs |
|---|
-12/29 |
(- (* 3 x) 12/29) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
-4/29 |
(- x 4/29) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -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) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116))) |
| 1.0ms | x | @ | inf | ((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116))) |
| 1.0ms | x | @ | 0 | ((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116))) |
| 1.0ms | y | @ | 0 | ((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116))) |
| 1.0ms | y | @ | inf | ((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 74 |
| 1 | 112 | 66 |
| 2 | 298 | 66 |
| 3 | 623 | 66 |
| 4 | 1581 | 66 |
| 5 | 2709 | 66 |
| 6 | 3712 | 66 |
| 7 | 4199 | 66 |
| 8 | 4372 | 66 |
| 9 | 4392 | 66 |
| 10 | 4406 | 66 |
| 11 | 5140 | 66 |
| 12 | 5520 | 66 |
| 13 | 5746 | 66 |
| 14 | 6197 | 66 |
| 15 | 6559 | 66 |
| 16 | 6565 | 66 |
| 17 | 6577 | 66 |
| 18 | 6577 | 66 |
| 0 | 8602 | 59 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-12/29 |
(- (* 3 x) 12/29) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
-4/29 |
(- x 4/29) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* 3 (* y (- x 4/29))) |
| Outputs |
|---|
-12/29 |
#s(literal -12/29 binary64) |
(- (* 3 x) 12/29) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 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)) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 0 | 14 | 16 |
| 1 | 35 | 16 |
| 2 | 164 | 16 |
| 3 | 1263 | 16 |
| 0 | 8362 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Outputs |
|---|
#s(literal 4/29 binary64) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal -1 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 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -16/841 binary64)))) (/.f64 #s(literal 3 binary64) (-.f64 #s(literal -4/29 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x x)) (-.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 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (fma.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 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -16/841 binary64)))) (-.f64 #s(literal 4/29 binary64) x)) |
(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (fma.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 #s(literal 3 binary64) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (fma.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 #s(literal 3 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal -16/841 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 #s(literal 3 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 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (pow.f64 (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #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)))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (pow.f64 (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))) #s(literal -1 binary64)))) |
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 4/29 binary64) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (fma.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 #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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 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)))) |
(*.f64 (/.f64 (fma.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) (pow.f64 (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #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)))) (/.f64 #s(literal 3 binary64) (pow.f64 (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))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -4/29 binary64) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal -1 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 #s(literal 16/841 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal -4/29 binary64) x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 192/24389 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) |
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal -4/29 binary64) x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 #s(literal -4/29 binary64) x))) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (-.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 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (*.f64 (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64)) |
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(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64)))) (*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (neg.f64 (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)) (+.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)))) (*.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)))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #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)))) (pow.f64 x #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #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)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #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)))) (*.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))))) |
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(literal -16/841 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(literal -16/841 binary64))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)) #s(literal -64/24389 binary64)) (*.f64 (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)) #s(literal -64/24389 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -4/29 binary64)) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -16/841 binary64) (-.f64 #s(literal -4/29 binary64) x))))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 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) (fma.f64 x x #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 #s(literal -16/841 binary64) (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (-.f64 #s(literal -4/29 binary64) x)))) |
(+.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 1 binary64) (neg.f64 (/.f64 #s(literal 64/24389 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)) (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))))) |
(+.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) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 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)))) (neg.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) |
(+.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal -4/29 binary64) x) |
(+.f64 x #s(literal -4/29 binary64)) |
Compiled 17 423 to 2 141 computations (87.7% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 612 | 9 | 621 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 613 | 9 | 622 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) | |
| 83.0% | (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) | |
| ▶ | 99.5% | (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
| ▶ | 99.8% | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 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)) | |
| ▶ | 53.1% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ▶ | 48.2% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| 53.1% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
Compiled 178 to 164 computations (7.9% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) | |
| cost-diff | 192 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) | |
| cost-diff | 896 | (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 x #s(literal 4/29 binary64)) | |
| cost-diff | 128 | (*.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 x #s(literal 3 binary64) #s(literal -12/29 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 98 |
| 0 | 36 | 95 |
| 1 | 56 | 91 |
| 2 | 79 | 90 |
| 3 | 120 | 90 |
| 4 | 160 | 90 |
| 5 | 175 | 90 |
| 6 | 187 | 90 |
| 7 | 200 | 90 |
| 8 | 209 | 90 |
| 9 | 214 | 90 |
| 0 | 214 | 90 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
x |
#s(literal 3 binary64) |
#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 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
y |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal -12/29 binary64) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
x |
#s(literal 3 binary64) |
#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 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 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 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
y |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(/.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal -12/29 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) | |
| accuracy | 0.17578125 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) | |
| accuracy | 0.2890625 | (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) | |
| accuracy | 0.0 | (-.f64 x #s(literal 4/29 binary64)) | |
| accuracy | 0.0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.234375 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 3 binary64) x) | |
| accuracy | 0.125 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) | |
| accuracy | 30.100460702734836 | #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) | |
| accuracy | 0.125 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) | |
| accuracy | 33.269827980715625 | #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) | |
| accuracy | 0.0 | (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) | |
| accuracy | 0.125 | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
| 81.0ms | 241× | 0 | valid |
| 4.0ms | 10× | 2 | valid |
| 1.0ms | 5× | 1 | valid |
Compiled 207 to 49 computations (76.3% saved)
ival-mult: 11.0ms (35.8% of total)const: 7.0ms (22.8% of total)ival-div: 6.0ms (19.5% of total)ival-add: 3.0ms (9.8% of total)ival-sub: 2.0ms (6.5% of total)adjust: 1.0ms (3.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
| Outputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
-12/29 |
(- (* 3 x) 12/29) |
(* 3 x) |
-4/29 |
(- x 4/29) |
-29/12 |
(- (* -841/48 x) 29/12) |
(- (* x (- (* -24389/192 x) 841/48)) 29/12) |
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(/ 1/3 x) |
(/ (+ 1/3 (* 4/87 (/ 1 x))) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) |
(* y (- (* 3 x) 12/29)) |
(* 3 (* y (- x 4/29))) |
(* 3 y) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | ((* (+ (* x 3) -12/29) y) (+ (* x 3) -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) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 1.0ms | x | @ | 0 | ((* (+ (* x 3) -12/29) y) (+ (* x 3) -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) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 1.0ms | x | @ | -inf | ((* (+ (* x 3) -12/29) y) (+ (* x 3) -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) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 1.0ms | x | @ | inf | ((* (+ (* x 3) -12/29) y) (+ (* x 3) -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) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 1.0ms | y | @ | 0 | ((* (+ (* x 3) -12/29) y) (+ (* x 3) -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) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 188 |
| 1 | 235 | 178 |
| 2 | 541 | 178 |
| 3 | 1103 | 178 |
| 4 | 2909 | 170 |
| 5 | 5432 | 170 |
| 0 | 8197 | 156 |
| 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) |
-29/12 |
(- (* -841/48 x) 29/12) |
(- (* x (- (* -24389/192 x) 841/48)) 29/12) |
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(/ 1/3 x) |
(/ (+ 1/3 (* 4/87 (/ 1 x))) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) |
(* y (- (* 3 x) 12/29)) |
(* 3 (* y (- x 4/29))) |
(* 3 y) |
| Outputs |
|---|
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
-12/29 |
#s(literal -12/29 binary64) |
(- (* 3 x) 12/29) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
-29/12 |
#s(literal -29/12 binary64) |
(- (* -841/48 x) 29/12) |
(fma.f64 #s(literal -841/48 binary64) x #s(literal -29/12 binary64)) |
(- (* x (- (* -24389/192 x) 841/48)) 29/12) |
(fma.f64 (fma.f64 #s(literal -24389/192 binary64) x #s(literal -841/48 binary64)) x #s(literal -29/12 binary64)) |
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -707281/768 binary64) x #s(literal -24389/192 binary64)) x #s(literal -841/48 binary64)) x #s(literal -29/12 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* 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)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 4/87 (/ 1 x))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 4/87 binary64) x) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) (/.f64 #s(literal -64/73167 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
(* -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))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) (/.f64 #s(literal -64/73167 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 80 |
| 0 | 36 | 77 |
| 1 | 112 | 73 |
| 2 | 472 | 72 |
| 3 | 4191 | 72 |
| 0 | 8519 | 72 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -16/841 binary64)) (*.f64 #s(literal 4/29 binary64) x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) y) (+.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.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 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) y) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) y) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y) (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) (*.f64 x #s(literal 36/29 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (-.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 4/29 binary64)) y)) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 y (pow.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64)))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) y) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) y) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64)))) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) (/.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 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 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (*.f64 (pow.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) #s(literal -1 binary64)) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (/.f64 y (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) |
(*.f64 (neg.f64 y) (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64))) |
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 (-.f64 x #s(literal 4/29 binary64)) y)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) y))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) y) (/.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) y)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (-.f64 x #s(literal -4/29 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) y) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (/.f64 (neg.f64 y) (pow.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64)))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (/.f64 (neg.f64 y) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1/2 binary64))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (*.f64 (neg.f64 y) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (*.f64 (neg.f64 y) (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (*.f64 (neg.f64 y) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
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(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -4/29 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) #s(literal 1 binary64)) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 144/841 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (-.f64 x #s(literal -4/29 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64))) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 144/841 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -20736/707281 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 144/841 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -2985984/594823321 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1296/841 binary64) #s(literal 20736/707281 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -2985984/594823321 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)))) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 19683 binary64) (pow.f64 x #s(literal 9 binary64)) #s(literal -5159780352/14507145975869 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 2985984/594823321 binary64) (*.f64 #s(literal -46656/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal 144/841 binary64))) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -4/29 binary64)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -4/29 binary64) x)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))) |
(/.f64 (fma.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -20736/707281 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 144/841 binary64)))) |
(/.f64 (-.f64 #s(literal 144/841 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(/.f64 (-.f64 #s(literal 144/841 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) |
(/.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -2985984/594823321 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) (fma.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1296/841 binary64) #s(literal 20736/707281 binary64))))) |
(/.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -2985984/594823321 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64)))) |
(/.f64 (fma.f64 #s(literal 19683 binary64) (pow.f64 x #s(literal 9 binary64)) #s(literal -5159780352/14507145975869 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 2985984/594823321 binary64) (*.f64 #s(literal -46656/24389 binary64) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64))) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))) |
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))) |
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) |
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) (neg.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))) |
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))) |
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64)))) |
(/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -4/29 binary64)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 144/841 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 4/29 binary64)))) |
(/.f64 #s(literal 3 binary64) (pow.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64))) |
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) x #s(literal -12/29 binary64)) |
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(fma.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64) #s(literal -12/29 binary64)) |
(fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x) #s(literal -12/29 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64) #s(literal -12/29 binary64)) |
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(fma.f64 x (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal -12/29 binary64)) |
(fma.f64 x (/.f64 (*.f64 #s(literal 9 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(-.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64))) |
(exp.f64 (log.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(+.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)) #s(literal -12/29 binary64)) |
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) #s(literal -12/29 binary64)) |
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -12/29 binary64)) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) #s(literal -12/29 binary64)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) #s(literal -12/29 binary64)) |
(+.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)) |
(+.f64 #s(literal -12/29 binary64) (neg.f64 (*.f64 #s(literal -3 binary64) x))) |
(+.f64 #s(literal -12/29 binary64) (*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))) |
(+.f64 #s(literal -12/29 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))) |
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))) |
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)) |
Compiled 11 965 to 1 933 computations (83.8% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 646 | 5 | 651 |
| Fresh | 3 | 1 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 650 | 10 | 660 |
| Status | Accuracy | Program |
|---|---|---|
| 83.0% | (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) | |
| ▶ | 53.0% | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) |
| ▶ | 47.9% | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 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)) |
| ▶ | 48.0% | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 53.1% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ✓ | 48.2% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ▶ | 53.1% | #s(approx (* (+ (* x 3) -12/29) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
Compiled 167 to 156 computations (6.6% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) x) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) | |
| cost-diff | 0 | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) | |
| cost-diff | 0 | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) y) x) | |
| cost-diff | 0 | #s(approx (* (+ (* x 3) -12/29) y) (*.f64 (*.f64 #s(literal 3 binary64) y) 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 | 128 | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 115 |
| 0 | 40 | 115 |
| 1 | 59 | 115 |
| 2 | 92 | 115 |
| 3 | 112 | 107 |
| 4 | 118 | 107 |
| 0 | 118 | 105 |
| 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 3) -12/29) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
x |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) |
y |
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) |
#s(literal -29/12 binary64) |
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) |
y |
#s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(*.f64 y (-.f64 x #s(literal 4/29 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
y |
#s(literal 3 binary64) |
#s(approx (* (+ (* x 3) -12/29) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
#s(approx (* (+ (* x 3) -12/29) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
x |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)) y) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
y |
#s(literal 3 binary64) |
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) |
y |
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) |
#s(literal -29/12 binary64) |
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) |
y |
#s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2890625 | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) | |
| accuracy | 0.390625 | (/.f64 #s(literal 1/3 binary64) x) | |
| accuracy | 30.251614697161266 | #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) | |
| accuracy | 0.2890625 | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) | |
| accuracy | 33.054762750010326 | #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) | |
| accuracy | 0.0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.234375 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 33.26018444660882 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0.20703125 | (*.f64 (*.f64 #s(literal 3 binary64) y) x) | |
| accuracy | 29.948447405113807 | #s(approx (* (+ (* x 3) -12/29) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) | |
| accuracy | 0.0 | (-.f64 x #s(literal 4/29 binary64)) | |
| accuracy | 0.0546875 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) | |
| accuracy | 0.24609375 | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
| 100.0ms | 256× | 0 | valid |
Compiled 210 to 58 computations (72.4% saved)
const: 16.0ms (42.4% of total)ival-mult: 12.0ms (31.8% of total)ival-div: 5.0ms (13.3% of total)ival-add: 2.0ms (5.3% of total)ival-sub: 1.0ms (2.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 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 3) -12/29) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) |
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) |
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) |
#s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 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)) |
-29/12 |
(- (* -841/48 x) 29/12) |
(- (* x (- (* -24389/192 x) 841/48)) 29/12) |
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12) |
(/ 1/3 x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x y) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(/ (+ 1/3 (* 4/87 (/ 1 x))) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) 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 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* y (- (* 3 x) 12/29)) |
(* 3 y) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | y | @ | -inf | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (+ (* x 3) -12/29) y) (* (* 3 y) x) (* 3 y) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x)) |
| 1.0ms | x | @ | 0 | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (+ (* x 3) -12/29) y) (* (* 3 y) x) (* 3 y) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x)) |
| 1.0ms | x | @ | -inf | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (+ (* x 3) -12/29) y) (* (* 3 y) x) (* 3 y) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x)) |
| 1.0ms | y | @ | inf | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (+ (* x 3) -12/29) y) (* (* 3 y) x) (* 3 y) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x)) |
| 1.0ms | x | @ | inf | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (+ (* x 3) -12/29) y) (* (* 3 y) x) (* 3 y) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 195 |
| 1 | 254 | 185 |
| 2 | 591 | 185 |
| 3 | 1186 | 185 |
| 4 | 3403 | 177 |
| 5 | 6114 | 177 |
| 0 | 8128 | 166 |
| 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)) |
-29/12 |
(- (* -841/48 x) 29/12) |
(- (* x (- (* -24389/192 x) 841/48)) 29/12) |
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12) |
(/ 1/3 x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x y) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(/ (+ 1/3 (* 4/87 (/ 1 x))) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) 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 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* y (- (* 3 x) 12/29)) |
(* 3 y) |
| Outputs |
|---|
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(+ (* -4/29 y) (* x y)) |
(*.f64 (-.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) |
-29/12 |
#s(literal -29/12 binary64) |
(- (* -841/48 x) 29/12) |
(fma.f64 #s(literal -841/48 binary64) x #s(literal -29/12 binary64)) |
(- (* x (- (* -24389/192 x) 841/48)) 29/12) |
(fma.f64 (fma.f64 #s(literal -24389/192 binary64) x #s(literal -841/48 binary64)) x #s(literal -29/12 binary64)) |
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -707281/768 binary64) x #s(literal -24389/192 binary64)) x #s(literal -841/48 binary64)) x #s(literal -29/12 binary64)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* -4/29 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(/ (+ 1/3 (* 4/87 (/ 1 x))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 4/87 binary64) x) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) (/.f64 #s(literal -64/73167 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) (/.f64 #s(literal -64/73167 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 100 |
| 0 | 40 | 100 |
| 1 | 130 | 100 |
| 2 | 532 | 100 |
| 3 | 3612 | 100 |
| 0 | 9003 | 94 |
| 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 3) -12/29) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) |
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) |
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) |
#s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (-.f64 x #s(literal 4/29 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 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 (fma.f64 x x #s(literal -16/841 binary64)) (*.f64 #s(literal 4/29 binary64) x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) y) #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)) (-.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 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y) (-.f64 (*.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) (*.f64 x #s(literal 36/29 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (-.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -2 binary64)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) y) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64)))) |
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(*.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64))) |
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) x))) |
Compiled 6 200 to 1 088 computations (82.5% saved)
10 alts after pruning (4 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 374 | 3 | 377 |
| Fresh | 0 | 1 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 377 | 10 | 387 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.0% | (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) |
| ✓ | 47.9% | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
| ✓ | 99.6% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ▶ | 48.0% | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
| ✓ | 53.1% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ✓ | 48.2% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ▶ | 53.1% | (*.f64 #s(approx (* (- x 4/29) y) (*.f64 y x)) #s(literal 3 binary64)) |
| ▶ | 53.0% | #s(approx (* (+ (* x 3) -12/29) y) (/.f64 (*.f64 y x) #s(literal 1/3 binary64))) |
| ✓ | 53.1% | #s(approx (* (+ (* x 3) -12/29) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
Compiled 106 to 97 computations (8.5% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x x #s(literal -16/841 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (fma.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 (- 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 y x) | |
| cost-diff | 0 | #s(approx (* (- x 4/29) y) (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- x 4/29) y) (*.f64 y x)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 (*.f64 y x) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (* (+ (* x 3) -12/29) y) (/.f64 (*.f64 y x) #s(literal 1/3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 112 |
| 0 | 37 | 112 |
| 1 | 59 | 112 |
| 2 | 106 | 112 |
| 3 | 194 | 112 |
| 4 | 262 | 112 |
| 5 | 323 | 112 |
| 6 | 390 | 112 |
| 7 | 439 | 112 |
| 8 | 444 | 112 |
| 0 | 444 | 111 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ (* x 3) -12/29) y) (/.f64 (*.f64 y x) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 y x) #s(literal 1/3 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 1/3 binary64) |
(*.f64 #s(approx (* (- x 4/29) y) (*.f64 y x)) #s(literal 3 binary64)) |
#s(approx (* (- x 4/29) y) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#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 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 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) |
(fma.f64 x x #s(literal -16/841 binary64)) |
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 (* (+ (* x 3) -12/29) y) (/.f64 (*.f64 y x) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 y x) #s(literal 1/3 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 1/3 binary64) |
(*.f64 #s(approx (* (- x 4/29) y) (*.f64 y x)) #s(literal 3 binary64)) |
#s(approx (* (- x 4/29) y) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#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 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 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) |
(*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) |
(fma.f64 x x #s(literal -16/841 binary64)) |
x |
#s(literal -16/841 binary64) |
y |
#s(literal 3 binary64) |
(-.f64 x #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (fma.f64 x x #s(literal -16/841 binary64)) | |
| accuracy | 0.23046875 | (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) | |
| accuracy | 3.3634407943898914 | (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) | |
| accuracy | 7.631045270007488 | (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) | |
| accuracy | 0.0546875 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) | |
| accuracy | 0.24609375 | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) | |
| accuracy | 33.26018444660882 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.24609375 | (*.f64 #s(approx (* (- x 4/29) y) (*.f64 y x)) #s(literal 3 binary64)) | |
| accuracy | 29.941769494345294 | #s(approx (* (- x 4/29) y) (*.f64 y x)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.2890625 | (/.f64 (*.f64 y x) #s(literal 1/3 binary64)) | |
| accuracy | 29.948447405113807 | #s(approx (* (+ (* x 3) -12/29) y) (/.f64 (*.f64 y x) #s(literal 1/3 binary64))) |
| 62.0ms | 256× | 0 | valid |
Compiled 210 to 51 computations (75.7% saved)
ival-mult: 19.0ms (39% of total)const: 15.0ms (30.8% of total)ival-sub: 9.0ms (18.5% of total)ival-div: 3.0ms (6.2% of total)ival-add: 3.0ms (6.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (+ (* x 3) -12/29) y) (/.f64 (*.f64 y x) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 y x) #s(literal 1/3 binary64)) |
(*.f64 y x) |
(*.f64 #s(approx (* (- x 4/29) y) (*.f64 y x)) #s(literal 3 binary64)) |
#s(approx (* (- x 4/29) y) (*.f64 y x)) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) |
(fma.f64 x x #s(literal -16/841 binary64)) |
| Outputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* 3 (* x y)) |
(* x y) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
-4/29 |
(- x 4/29) |
(* -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) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* 3 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(* (pow x 2) y) |
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* y (- (* 3 x) 12/29)) |
(* 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 | |
|---|---|---|---|---|
| 10.0ms | y | @ | 0 | ((* (+ (* x 3) -12/29) y) (/ (* y x) 1/3) (* y x) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (/ (* (* (+ (* x x) -16/841) y) 3) (- x -4/29)) (* (* (+ (* x x) -16/841) y) 3) (* (+ (* x x) -16/841) y) (+ (* x x) -16/841)) |
| 3.0ms | y | @ | -inf | ((* (+ (* x 3) -12/29) y) (/ (* y x) 1/3) (* y x) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (/ (* (* (+ (* x x) -16/841) y) 3) (- x -4/29)) (* (* (+ (* x x) -16/841) y) 3) (* (+ (* x x) -16/841) y) (+ (* x x) -16/841)) |
| 2.0ms | y | @ | inf | ((* (+ (* x 3) -12/29) y) (/ (* y x) 1/3) (* y x) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (/ (* (* (+ (* x x) -16/841) y) 3) (- x -4/29)) (* (* (+ (* x x) -16/841) y) 3) (* (+ (* x x) -16/841) y) (+ (* x x) -16/841)) |
| 2.0ms | x | @ | -inf | ((* (+ (* x 3) -12/29) y) (/ (* y x) 1/3) (* y x) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (/ (* (* (+ (* x x) -16/841) y) 3) (- x -4/29)) (* (* (+ (* x x) -16/841) y) 3) (* (+ (* x x) -16/841) y) (+ (* x x) -16/841)) |
| 2.0ms | x | @ | 0 | ((* (+ (* x 3) -12/29) y) (/ (* y x) 1/3) (* y x) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (/ (* (* (+ (* x x) -16/841) y) 3) (- x -4/29)) (* (* (+ (* x x) -16/841) y) 3) (* (+ (* x x) -16/841) y) (+ (* x x) -16/841)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 189 |
| 1 | 209 | 173 |
| 2 | 549 | 173 |
| 3 | 1190 | 173 |
| 4 | 3566 | 173 |
| 5 | 7296 | 173 |
| 0 | 8070 | 159 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* 3 (* x y)) |
(* x y) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
-4/29 |
(- x 4/29) |
(* -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) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* 3 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) |
(* (pow x 2) y) |
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* y (- (* 3 x) 12/29)) |
(* 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 y #s(literal -12/29 binary64)) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) y) |
(* x y) |
(*.f64 y x) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(+ (* -4/29 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -48/841 y) |
(*.f64 #s(literal -48/841 binary64) y) |
(+ (* -48/841 y) (* 3 (* (pow x 2) y))) |
(*.f64 (*.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) |
(fma.f64 x x #s(literal -16/841 binary64)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* x (+ y (* -4/29 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 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 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2))))) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -16/841 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 (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) y) (fma.f64 x x #s(literal -16/841 binary64))) |
(* 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 | 26 | 92 |
| 0 | 37 | 92 |
| 1 | 126 | 87 |
| 2 | 703 | 87 |
| 3 | 7220 | 87 |
| 0 | 8032 | 86 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ (* x 3) -12/29) y) (/.f64 (*.f64 y x) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 y x) #s(literal 1/3 binary64)) |
(*.f64 y x) |
(*.f64 #s(approx (* (- x 4/29) y) (*.f64 y x)) #s(literal 3 binary64)) |
#s(approx (* (- x 4/29) y) (*.f64 y x)) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) |
(fma.f64 x x #s(literal -16/841 binary64)) |
| Outputs |
|---|
#s(approx (* (+ (* x 3) -12/29) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x)) #s(literal -3 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) x)) |
(*.f64 #s(literal -3 binary64) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 x) (/.f64 y #s(literal -1/3 binary64))) |
(*.f64 (neg.f64 x) (*.f64 #s(literal -3 binary64) y)) |
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(*.f64 (pow.f64 (fma.f64 x x #s(literal 16/841 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal -16/841 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64)) (pow.f64 (fma.f64 x x #s(literal 16/841 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -16/841 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 65536/500246412961 binary64)) (pow.f64 (fma.f64 x x #s(literal 16/841 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 16777216/353814783205469041 binary64)) (pow.f64 (fma.f64 x x #s(literal 16/841 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 65536/500246412961 binary64)) (pow.f64 x #s(literal 8 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 16777216/353814783205469041 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -68719476736/210457284365172120330305161 binary64) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 16777216/353814783205469041 binary64)) (*.f64 #s(literal -4096/594823321 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64)))) (*.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (fma.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal -16/841 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal -16/841 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 65536/500246412961 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 16777216/353814783205469041 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 65536/500246412961 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 x x #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 16777216/353814783205469041 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -68719476736/210457284365172120330305161 binary64) (pow.f64 x #s(literal 18 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 16777216/353814783205469041 binary64)) (*.f64 #s(literal -4096/594823321 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (fma.f64 x x #s(literal 16/841 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 65536/500246412961 binary64)) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -16/841 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 16777216/353814783205469041 binary64)) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (+.f64 (fma.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 65536/500246412961 binary64)) (pow.f64 x #s(literal 8 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 16777216/353814783205469041 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64)))) |
(/.f64 (+.f64 #s(literal -68719476736/210457284365172120330305161 binary64) (pow.f64 x #s(literal 18 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 16777216/353814783205469041 binary64)) (*.f64 #s(literal -4096/594823321 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64))) (fma.f64 (neg.f64 x) x #s(literal -16/841 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -16/841 binary64) (*.f64 x x)) (-.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) |
(neg.f64 (fma.f64 (neg.f64 x) x #s(literal 16/841 binary64))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64))) (+.f64 (fma.f64 (*.f64 x x) #s(literal -16/841 binary64) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64))) (fma.f64 x x #s(literal -16/841 binary64)) (neg.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal -16/841 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal 16/841 binary64))) (neg.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 16/841 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64))) (neg.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))))) |
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (neg.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))))) |
(fma.f64 x x #s(literal -16/841 binary64)) |
(-.f64 (/.f64 #s(literal 256/707281 binary64) (-.f64 #s(literal -16/841 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -16/841 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64)))) |
(-.f64 (*.f64 x x) #s(literal 16/841 binary64)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (neg.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))))) |
(+.f64 (*.f64 x x) #s(literal -16/841 binary64)) |
(+.f64 #s(literal -16/841 binary64) (*.f64 x x)) |
Compiled 9 042 to 1 373 computations (84.8% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 488 | 1 | 489 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 6 | 6 |
| Total | 489 | 10 | 499 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 47.9% | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
| ✓ | 99.6% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 48.0% | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
| ✓ | 53.1% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
| ✓ | 48.2% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ✓ | 53.1% | (*.f64 #s(approx (* (- x 4/29) y) (*.f64 y x)) #s(literal 3 binary64)) |
| ✓ | 53.0% | #s(approx (* (+ (* x 3) -12/29) y) (/.f64 (*.f64 y x) #s(literal 1/3 binary64))) |
| 53.0% | #s(approx (* (+ (* x 3) -12/29) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y x)))) | |
| ✓ | 53.1% | #s(approx (* (+ (* x 3) -12/29) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
Compiled 308 to 180 computations (41.6% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
#s(approx (* (+ (* x 3) -12/29) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 #s(approx (* (- x 4/29) y) (*.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 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) |
(*.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))) |
#s(approx (* (+ (* x 3) -12/29) y) (/.f64 (*.f64 y x) #s(literal 1/3 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) |
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
#s(approx (* (+ (* x 3) -12/29) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y x)))) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
5 calls:
| 8.0ms | y |
| 6.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 6.0ms | x |
| 5.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 5.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 99.8% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 99.8% | 1 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
Compiled 23 to 27 computations (-17.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
#s(approx (* (+ (* x 3) -12/29) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 #s(approx (* (- x 4/29) y) (*.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 |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
5 calls:
| 5.0ms | y |
| 3.0ms | x |
| 3.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 3.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 3.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 3 | x |
| 62.0% | 5 | y |
| 81.1% | 3 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 97.5% | 3 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 97.5% | 3 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
Compiled 23 to 27 computations (-17.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
#s(approx (* (+ (* x 3) -12/29) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 #s(approx (* (- x 4/29) y) (*.f64 y x)) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
3 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 2.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 3 | x |
| 97.4% | 3 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 97.4% | 3 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
Compiled 13 to 16 computations (-23.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| Outputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
5 calls:
| 16.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 1.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.2% | 1 | y |
| 48.2% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 48.2% | 1 | x |
| 48.2% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 48.2% | 1 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
Compiled 23 to 27 computations (-17.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.13607843810341563 | 0.22752030982771693 |
| 0.0ms | -112.71369988452746 | -0.15768824142022306 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.13607843810341563 | 0.22752030982771693 |
| 0.0ms | -112.71369988452746 | -0.15768824142022306 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 91 |
| 1 | 43 | 91 |
| 2 | 68 | 91 |
| 3 | 124 | 91 |
| 4 | 223 | 91 |
| 5 | 330 | 91 |
| 6 | 561 | 91 |
| 7 | 6056 | 91 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -100 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y))) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -100 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -100 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y))) |
(if (or (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -100 binary64)) (not (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)))) (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -100 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)))) |
(if (or (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -100 binary64)) (not (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)))) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 0 | 14 | 16 |
| 1 | 35 | 16 |
| 2 | 164 | 16 |
| 3 | 1263 | 16 |
| 0 | 8362 | 14 |
| 0 | 42 | 74 |
| 1 | 112 | 66 |
| 2 | 298 | 66 |
| 3 | 623 | 66 |
| 4 | 1581 | 66 |
| 5 | 2709 | 66 |
| 6 | 3712 | 66 |
| 7 | 4199 | 66 |
| 8 | 4372 | 66 |
| 9 | 4392 | 66 |
| 10 | 4406 | 66 |
| 11 | 5140 | 66 |
| 12 | 5520 | 66 |
| 13 | 5746 | 66 |
| 14 | 6197 | 66 |
| 15 | 6559 | 66 |
| 16 | 6565 | 66 |
| 17 | 6577 | 66 |
| 18 | 6577 | 66 |
| 0 | 8602 | 59 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 135 to 67 computations (50.4% saved)
(negabs y)
Compiled 246 to 110 computations (55.3% saved)
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