
Time bar (total: 4.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 783.0ms | 8 256× | 0 | valid |
ival-sub: 189.0ms (55.1% of total)ival-div: 137.0ms (39.9% of total)exact: 8.0ms (2.3% of total)ival-true: 6.0ms (1.7% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
| 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 |
| 18.0ms | 512× | 0 | valid |
Compiled 31 to 19 computations (38.7% saved)
ival-div: 4.0ms (51.9% of total)ival-sub: 2.0ms (26% of total)exact: 1.0ms (13% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 9 |
| 1 | 10 | 9 |
| 0 | 5 | 3 |
| 0 | 8 | 3 |
| 1 | 10 | 3 |
| 0 | 10 | 3 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(-.f64 x #s(literal 1/3 binary64)) |
Compiled 5 to 5 computations (0% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 5 to 5 computations (0% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 10 | 7 |
| 0 | 10 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
x |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(-.f64 x #s(literal 1/3 binary64)) |
x |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) | |
| accuracy | 0.015625 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 13.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-div: 3.0ms (61.9% of total)ival-sub: 1.0ms (20.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Outputs |
|---|
-1/3 |
(- x 1/3) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | ((/ 1 3) (- x (/ 1 3))) |
| 0.0ms | x | @ | -inf | ((/ 1 3) (- x (/ 1 3))) |
| 0.0ms | x | @ | 0 | ((/ 1 3) (- x (/ 1 3))) |
| 1× | egg-herbie |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 16 |
| 1 | 27 | 16 |
| 2 | 54 | 16 |
| 3 | 96 | 16 |
| 4 | 227 | 16 |
| 5 | 299 | 16 |
| 6 | 356 | 16 |
| 7 | 424 | 16 |
| 8 | 459 | 15 |
| 9 | 480 | 15 |
| 0 | 480 | 15 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
-1/3 |
(- x 1/3) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(-.f64 x #s(literal 1/3 binary64)) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(-.f64 x #s(literal 1/3 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 4 |
| 0 | 8 | 4 |
| 1 | 25 | 4 |
| 2 | 110 | 4 |
| 3 | 815 | 4 |
| 0 | 8726 | 4 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Outputs |
|---|
#s(literal 1/3 binary64) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -1/3 binary64) x)) #s(literal 1/9 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))) (-.f64 x #s(literal 1/3 binary64)))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (-.f64 x #s(literal 1/3 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 #s(literal -1/3 binary64) (neg.f64 x)) #s(literal 1/9 binary64)))) (neg.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (*.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1/27 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))) (-.f64 x #s(literal 1/3 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (-.f64 x #s(literal 1/3 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 #s(literal -1/3 binary64) (neg.f64 x)) #s(literal 1/9 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (*.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1/27 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 #s(literal -1/3 binary64) (neg.f64 x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x))) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x))) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x)))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal -1/3 binary64) (neg.f64 x))) (*.f64 (+.f64 #s(literal -1/3 binary64) (neg.f64 x)) #s(literal -1/9 binary64))) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
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(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/729 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x #s(literal 1/3 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/729 binary64) (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 x #s(literal 1/3 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 x #s(literal 1/3 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal -1/729 binary64) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal -1/19683 binary64) (+.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) |
(-.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) |
(-.f64 x #s(literal 1/3 binary64)) |
(+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) x))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 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 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 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 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x))))) |
(+.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(+.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (-.f64 x #s(literal 1/3 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (-.f64 (fma.f64 x x (*.f64 #s(literal -1/3 binary64) x)) #s(literal 1/9 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
Compiled 4 958 to 452 computations (90.9% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 140 | 4 | 144 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 141 | 4 | 145 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.8% | (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))) |
| ▶ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ▶ | 99.9% | #s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)) |
| ▶ | 55.2% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 32 to 28 computations (12.5% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (-.f64 x #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1/3 binary64) x) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x) | |
| cost-diff | 0 | #s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 63 |
| 0 | 26 | 63 |
| 1 | 37 | 63 |
| 2 | 56 | 63 |
| 3 | 85 | 63 |
| 4 | 119 | 63 |
| 5 | 146 | 63 |
| 6 | 156 | 63 |
| 7 | 165 | 63 |
| 8 | 173 | 63 |
| 9 | 180 | 63 |
| 10 | 184 | 63 |
| 0 | 184 | 63 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)) |
(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x) |
(-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/3 binary64) x) |
#s(literal -1/3 binary64) |
x |
#s(literal -1 binary64) |
(-.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))) |
(-.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/9 binary64) |
(+.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)) |
(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x) |
(-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/3 binary64) x) |
#s(literal -1/3 binary64) |
x |
#s(literal -1 binary64) |
(-.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) |
(-.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/9 binary64) |
(+.f64 x #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0078125 | (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) | |
| accuracy | 0.0078125 | (+.f64 x #s(literal 1/3 binary64)) | |
| accuracy | 14.189604664014922 | (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))) | |
| accuracy | 0.015625 | (-.f64 x #s(literal 1/3 binary64)) | |
| accuracy | 0.0 | (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) | |
| accuracy | 0.0 | #s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)) | |
| accuracy | 0.1328125 | (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x) | |
| accuracy | 0.28125 | (/.f64 #s(literal -1/3 binary64) x) | |
| accuracy | 28.6458094566177 | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
| 42.0ms | 256× | 0 | valid |
Compiled 59 to 19 computations (67.8% saved)
const: 13.0ms (41.3% of total)ival-div: 6.0ms (19.1% of total)ival-mult: 6.0ms (19.1% of total)ival-sub: 5.0ms (15.9% of total)ival-add: 1.0ms (3.2% 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 (/ 1 3)) #s(literal -1/3 binary64)) |
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)) |
(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x) |
(-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/3 binary64) x) |
(-.f64 x #s(literal 1/3 binary64)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))) |
(-.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(*.f64 x x) |
(+.f64 x #s(literal 1/3 binary64)) |
| Outputs |
|---|
-1/3 |
(- x 1/3) |
(/ -1/3 x) |
(/ (- x 1/3) x) |
-1/9 |
(- (pow x 2) 1/9) |
(pow x 2) |
1/3 |
(+ 1/3 x) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
1 |
(- 1 (* 1/3 (/ 1 x))) |
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 139.0ms | x | @ | -inf | ((- x (/ 1 3)) (- x (/ 1 3)) (* (- (/ -1/3 x) -1) x) (- (/ -1/3 x) -1) (/ -1/3 x) (- x 1/3) (/ (- (* x x) 1/9) (+ x 1/3)) (- (* x x) 1/9) (* x x) (+ x 1/3)) |
| 2.0ms | x | @ | 0 | ((- x (/ 1 3)) (- x (/ 1 3)) (* (- (/ -1/3 x) -1) x) (- (/ -1/3 x) -1) (/ -1/3 x) (- x 1/3) (/ (- (* x x) 1/9) (+ x 1/3)) (- (* x x) 1/9) (* x x) (+ x 1/3)) |
| 1.0ms | x | @ | inf | ((- x (/ 1 3)) (- x (/ 1 3)) (* (- (/ -1/3 x) -1) x) (- (/ -1/3 x) -1) (/ -1/3 x) (- x 1/3) (/ (- (* x x) 1/9) (+ x 1/3)) (- (* x x) 1/9) (* x x) (+ x 1/3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 46 |
| 1 | 63 | 46 |
| 2 | 140 | 46 |
| 3 | 394 | 46 |
| 4 | 1186 | 46 |
| 5 | 3741 | 46 |
| 6 | 5536 | 46 |
| 7 | 6570 | 46 |
| 0 | 8163 | 44 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/3 |
(- x 1/3) |
(/ -1/3 x) |
(/ (- x 1/3) x) |
-1/9 |
(- (pow x 2) 1/9) |
(pow x 2) |
1/3 |
(+ 1/3 x) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
1 |
(- 1 (* 1/3 (/ 1 x))) |
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(-.f64 x #s(literal 1/3 binary64)) |
(/ -1/3 x) |
(/.f64 #s(literal -1/3 binary64) x) |
(/ (- x 1/3) x) |
(/.f64 (-.f64 x #s(literal 1/3 binary64)) x) |
-1/9 |
#s(literal -1/9 binary64) |
(- (pow x 2) 1/9) |
(fma.f64 x x #s(literal -1/9 binary64)) |
(pow x 2) |
(*.f64 x x) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 x) |
(-.f64 x #s(literal -1/3 binary64)) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(-.f64 x #s(literal 1/3 binary64)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/3 (/ 1 x))) |
(/.f64 (-.f64 x #s(literal 1/3 binary64)) x) |
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(-.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(-.f64 x #s(literal 1/3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 54 |
| 0 | 26 | 48 |
| 1 | 85 | 48 |
| 2 | 499 | 48 |
| 3 | 5948 | 48 |
| 0 | 8353 | 48 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)) |
(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x) |
(-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/3 binary64) x) |
(-.f64 x #s(literal 1/3 binary64)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))) |
(-.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(*.f64 x x) |
(+.f64 x #s(literal 1/3 binary64)) |
| Outputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 4 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x)))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x) |
(*.f64 x (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64))) x) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x)) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) (/.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x))))) (*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))))) (+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)) #s(literal -3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) (/.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) (fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 9 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x)))) |
(-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) |
(*.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 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(/.f64 #s(literal -1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 x)) |
(neg.f64 (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x (-.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) |
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(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1/3 binary64)) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1 binary64))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 x #s(literal 1/3 binary64)) |
Compiled 10 092 to 1 236 computations (87.8% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 381 | 1 | 382 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 0 | 0 |
| Total | 382 | 4 | 386 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.8% | (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 99.9% | #s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)) |
| ✓ | 55.2% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 37 to 31 computations (16.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1/9 binary64)) | |
| cost-diff | 0 | #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 0 | 13 | 34 |
| 1 | 19 | 34 |
| 2 | 38 | 34 |
| 3 | 65 | 34 |
| 4 | 80 | 34 |
| 0 | 80 | 34 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
x |
#s(literal -1/9 binary64) |
(+.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))) |
(/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)) |
#s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
x |
#s(literal -1/9 binary64) |
(+.f64 x #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) | |
| accuracy | 0.00390625 | (fma.f64 x x #s(literal -1/9 binary64)) | |
| accuracy | 0.0078125 | (+.f64 x #s(literal 1/3 binary64)) | |
| accuracy | 14.189604664014922 | (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))) |
| 25.0ms | 256× | 0 | valid |
Compiled 27 to 11 computations (59.3% saved)
const: 9.0ms (53.3% of total)ival-sub: 2.0ms (11.8% of total)ival-div: 2.0ms (11.8% of total)ival-add: 2.0ms (11.8% of total)ival-mult: 2.0ms (11.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
(+.f64 x #s(literal 1/3 binary64)) |
| Outputs |
|---|
-1/3 |
(- x 1/3) |
-1/9 |
(- (pow x 2) 1/9) |
1/3 |
(+ 1/3 x) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (- (* x x) 1/9) (+ x 1/3)) (- (* x x) 1/9) (+ (* x x) -1/9) (+ x 1/3)) |
| 0.0ms | x | @ | inf | ((/ (- (* x x) 1/9) (+ x 1/3)) (- (* x x) 1/9) (+ (* x x) -1/9) (+ x 1/3)) |
| 0.0ms | x | @ | 0 | ((/ (- (* x x) 1/9) (+ x 1/3)) (- (* x x) 1/9) (+ (* x x) -1/9) (+ x 1/3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 37 |
| 1 | 58 | 37 |
| 2 | 134 | 37 |
| 3 | 391 | 37 |
| 4 | 1153 | 37 |
| 5 | 3600 | 37 |
| 6 | 5179 | 37 |
| 7 | 5782 | 37 |
| 8 | 6544 | 37 |
| 9 | 7425 | 37 |
| 0 | 8112 | 35 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/3 |
(- x 1/3) |
-1/9 |
(- (pow x 2) 1/9) |
1/3 |
(+ 1/3 x) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(-.f64 x #s(literal 1/3 binary64)) |
-1/9 |
#s(literal -1/9 binary64) |
(- (pow x 2) 1/9) |
(fma.f64 x x #s(literal -1/9 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 x) |
(-.f64 x #s(literal -1/3 binary64)) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(-.f64 x #s(literal 1/3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(-.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 0 | 13 | 31 |
| 1 | 60 | 31 |
| 2 | 361 | 31 |
| 3 | 3415 | 31 |
| 0 | 9173 | 31 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
(+.f64 x #s(literal 1/3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 (*.f64 x x) #s(literal -1/9 binary64))) (neg.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) |
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) |
(*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))) (-.f64 (*.f64 x x) #s(literal -1/9 binary64))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (+.f64 #s(literal -1/3 binary64) x)) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (neg.f64 (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (neg.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (*.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) |
(/.f64 (*.f64 (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 (*.f64 (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (*.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (*.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (*.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (neg.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64)))) (+.f64 #s(literal -1/3 binary64) x)) |
(/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x)) |
(neg.f64 (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 #s(literal -1/3 binary64) x))) |
(fma.f64 (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
(fma.f64 (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
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(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (-.f64 x #s(literal 1/3 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/6561 binary64) (*.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6561 binary64)) (pow.f64 x #s(literal 8 binary64))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/531441 binary64) (*.f64 (+.f64 (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6561 binary64)) (pow.f64 x #s(literal 8 binary64))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))) (/.f64 #s(literal 1/531441 binary64) (*.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/531441 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))) (/.f64 #s(literal 1/387420489 binary64) (*.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/531441 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))) (/.f64 (/.f64 #s(literal 1/6561 binary64) (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6561 binary64)) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))) (/.f64 (/.f64 #s(literal 1/531441 binary64) (+.f64 (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6561 binary64)) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal 1/531441 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/531441 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal 1/387420489 binary64) (+.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/531441 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/729 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (/.f64 #s(literal 1/531441 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/531441 binary64)))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (/.f64 #s(literal 1/387420489 binary64) (+.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/531441 binary64)))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) (/.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1/3 binary64))))) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1/3 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1/3 binary64))))) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1/3 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/81 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1/729 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 x #s(literal 1/3 binary64)))) |
(-.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) x))) |
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))) |
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) |
(-.f64 #s(literal 1/3 binary64) x) |
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 x #s(literal 1/3 binary64)) |
Compiled 8 759 to 980 computations (88.8% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 242 | 0 | 242 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 242 | 4 | 246 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 77.8% | (/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 99.9% | #s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)) |
| ✓ | 55.2% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 88 to 61 computations (30.7% saved)
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
(-.f64 x #s(literal 1/3 binary64)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)) |
(/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))) |
| Outputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 6 to 6 computations (0% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
| Outputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.2% | 1 | x |
| 55.2% | 1 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 6 to 6 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 8 |
| 1 | 13 | 8 |
| 2 | 17 | 8 |
| 3 | 18 | 8 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
| Outputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 16 |
| 1 | 27 | 16 |
| 2 | 54 | 16 |
| 3 | 96 | 16 |
| 4 | 227 | 16 |
| 5 | 299 | 16 |
| 6 | 356 | 16 |
| 7 | 424 | 16 |
| 8 | 459 | 15 |
| 9 | 480 | 15 |
| 0 | 480 | 15 |
| 0 | 5 | 4 |
| 0 | 8 | 4 |
| 1 | 25 | 4 |
| 2 | 110 | 4 |
| 3 | 815 | 4 |
| 0 | 8726 | 4 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | saturated |
Compiled 19 to 18 computations (5.3% saved)
Compiled 30 to 28 computations (6.7% saved)
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