
Time bar (total: 6.5s)
| 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 10 to 8 computations (20% saved)
| 1.6s | 2220× | body | 2048 | valid |
| 484.0ms | 4027× | body | 256 | infinite |
| 385.0ms | 1031× | body | 1024 | valid |
| 126.0ms | 549× | body | 512 | valid |
| 38.0ms | 429× | body | 256 | valid |
| 2× | egg-herbie |
| 2232× | fma-def |
| 1096× | unswap-sqr |
| 1072× | div-sub |
| 886× | associate-/r* |
| 722× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 22 | 25 |
| 2 | 38 | 25 |
| 3 | 62 | 25 |
| 4 | 125 | 25 |
| 5 | 275 | 25 |
| 6 | 712 | 25 |
| 7 | 1748 | 25 |
| 8 | 3169 | 25 |
| 9 | 7087 | 25 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
(+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
| 2232× | fma-def |
| 1096× | unswap-sqr |
| 1072× | div-sub |
| 886× | associate-/r* |
| 722× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 22 | 25 |
| 2 | 38 | 25 |
| 3 | 62 | 25 |
| 4 | 125 | 25 |
| 5 | 275 | 25 |
| 6 | 712 | 25 |
| 7 | 1748 | 25 |
| 8 | 3169 | 25 |
| 9 | 7087 | 25 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
(+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
Compiled 33 to 16 computations (51.5% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 | 2 | 4 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 3 | 5 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.0% | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| ▶ | 77.0% | (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
Compiled 18 to 14 computations (22.2% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 77.0% | (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
Compiled 24 to 11 computations (54.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
| 0.0ms | x | @ | inf | (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
| 0.0ms | x | @ | -inf | (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
| 1× | batch-egg-rewrite |
| 1272× | prod-diff |
| 1054× | unpow-prod-down |
| 806× | log-prod |
| 668× | fma-def |
| 502× | pow-prod-down |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 219 | 25 |
| 2 | 3069 | 25 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
| Outputs |
|---|
-512 |
-64 |
-16 |
-8 |
-7 |
-4 |
-3 |
-2 |
-3/2 |
-1 |
-2/3 |
-1/2 |
-1/3 |
0 |
1/9 |
1/6 |
1/3 |
1/2 |
2/3 |
1 |
4/3 |
3/2 |
2 |
5/2 |
3 |
4 |
9/2 |
5 |
6 |
8 |
9 |
16 |
27 |
64 |
x |
| 1× | egg-herbie |
| 962× | distribute-rgt-out |
| 882× | distribute-lft-out |
| 824× | unswap-sqr |
| 646× | *-commutative |
| 632× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 358 |
| 1 | 105 | 346 |
| 2 | 182 | 346 |
| 3 | 470 | 346 |
| 4 | 2017 | 346 |
| 5 | 4585 | 346 |
| 6 | 5749 | 346 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
-512 |
-64 |
-16 |
-8 |
-7 |
-4 |
-3 |
-2 |
-3/2 |
-1 |
-2/3 |
-1/2 |
-1/3 |
0 |
1/9 |
1/6 |
1/3 |
1/2 |
2/3 |
1 |
4/3 |
3/2 |
2 |
5/2 |
3 |
4 |
9/2 |
5 |
6 |
8 |
9 |
16 |
27 |
64 |
| Outputs |
|---|
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) |
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) |
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) |
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) |
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) |
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))) |
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) |
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) |
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))) |
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))) |
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x (*.f64 1/20160 (pow.f64 x 8))))) |
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 1/360 (pow.f64 x 6))))) |
(fma.f64 x x (fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 1/20160 1/12) (*.f64 1/360 (pow.f64 x 6)))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
-512 |
-64 |
-16 |
-8 |
-7 |
-4 |
-3 |
-2 |
-3/2 |
-1 |
-2/3 |
-1/2 |
-1/3 |
0 |
1/9 |
1/6 |
1/3 |
1/2 |
2/3 |
1 |
4/3 |
3/2 |
2 |
5/2 |
3 |
4 |
9/2 |
5 |
6 |
8 |
9 |
16 |
27 |
64 |
Found 2 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (exp.f64 x) 2) |
| ✓ | 77.0% | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
Compiled 23 to 11 computations (52.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| 0.0ms | x | @ | 0 | (-.f64 (exp.f64 x) 2) |
| 0.0ms | x | @ | 0 | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| 0.0ms | x | @ | inf | (-.f64 (exp.f64 x) 2) |
| 0.0ms | x | @ | inf | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| 1× | batch-egg-rewrite |
| 1072× | prod-diff |
| 1044× | unpow-prod-down |
| 804× | log-prod |
| 690× | fma-def |
| 506× | pow-prod-down |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 50 |
| 1 | 221 | 50 |
| 2 | 3102 | 50 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 x) 2) |
| Outputs |
|---|
-64 |
-16 |
-8 |
-4 |
-3 |
-2 |
-3/2 |
-1 |
-2/3 |
-1/2 |
-1/3 |
0 |
1/9 |
1/6 |
1/3 |
1/2 |
2/3 |
1 |
4/3 |
3/2 |
2 |
5/2 |
3 |
4 |
9/2 |
5 |
6 |
8 |
9 |
16 |
27 |
64 |
512 |
x |
-64 |
-16 |
-8 |
-4 |
-3 |
-2 |
-3/2 |
-1 |
-2/3 |
-1/2 |
-1/3 |
0 |
1/9 |
1/6 |
1/3 |
1/2 |
2/3 |
1 |
4/3 |
3/2 |
2 |
5/2 |
3 |
4 |
9/2 |
5 |
6 |
8 |
9 |
16 |
27 |
64 |
512 |
x |
| 1× | egg-herbie |
| 1496× | unswap-sqr |
| 1482× | distribute-lft-out |
| 1180× | distribute-rgt-out |
| 1172× | fma-def |
| 1102× | associate-*r* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 454 |
| 1 | 130 | 442 |
| 2 | 261 | 442 |
| 3 | 776 | 432 |
| 4 | 3572 | 432 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
-1 |
(-.f64 x 1) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1) |
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) 1) |
-64 |
-16 |
-8 |
-4 |
-3 |
-2 |
-3/2 |
-1 |
-2/3 |
-1/2 |
-1/3 |
0 |
1/9 |
1/6 |
1/3 |
1/2 |
2/3 |
1 |
4/3 |
3/2 |
2 |
5/2 |
3 |
4 |
9/2 |
5 |
6 |
8 |
9 |
16 |
27 |
64 |
512 |
-64 |
-16 |
-8 |
-4 |
-3 |
-2 |
-3/2 |
-1 |
-2/3 |
-1/2 |
-1/3 |
0 |
1/9 |
1/6 |
1/3 |
1/2 |
2/3 |
1 |
4/3 |
3/2 |
2 |
5/2 |
3 |
4 |
9/2 |
5 |
6 |
8 |
9 |
16 |
27 |
64 |
512 |
| Outputs |
|---|
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) |
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) |
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) |
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) |
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) |
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))) |
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) |
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))) |
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))) |
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))) |
(fma.f64 1/20160 (pow.f64 x 8) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x (*.f64 1/360 (pow.f64 x 6))))) |
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
-1 |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1) |
(+.f64 (fma.f64 1/2 (*.f64 x x) x) -1) |
(+.f64 -1 (fma.f64 (*.f64 x x) 1/2 x)) |
(+.f64 x (fma.f64 x (*.f64 x 1/2) -1)) |
(fma.f64 (fma.f64 x 1/2 1) x -1) |
(fma.f64 x (fma.f64 x 1/2 1) -1) |
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) 1) |
(+.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)) -1) |
(+.f64 -1 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 (*.f64 x x) 1/2 x))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) x) (fma.f64 1/6 (pow.f64 x 3) -1)) |
(+.f64 x (fma.f64 (*.f64 x x) (fma.f64 x 1/6 1/2) -1)) |
-64 |
-16 |
-8 |
-4 |
-3 |
-2 |
-3/2 |
-1 |
-2/3 |
-1/2 |
-1/3 |
0 |
1/9 |
1/6 |
1/3 |
1/2 |
2/3 |
1 |
4/3 |
3/2 |
2 |
5/2 |
3 |
4 |
9/2 |
5 |
6 |
8 |
9 |
16 |
27 |
64 |
512 |
-64 |
-16 |
-8 |
-4 |
-3 |
-2 |
-3/2 |
-1 |
-2/3 |
-1/2 |
-1/3 |
0 |
1/9 |
1/6 |
1/3 |
1/2 |
2/3 |
1 |
4/3 |
3/2 |
2 |
5/2 |
3 |
4 |
9/2 |
5 |
6 |
8 |
9 |
16 |
27 |
64 |
512 |
Compiled 769 to 509 computations (33.8% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 118 | 6 | 124 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 119 | 7 | 126 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 77.0% | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| ▶ | 88.4% | (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) |
| ▶ | 51.4% | (+.f64 -1 (exp.f64 (neg.f64 x))) |
| ▶ | 78.2% | (*.f64 x x) |
| 3.6% | 512 | |
| 3.6% | 1/9 | |
| 28.2% | 0 |
Compiled 35 to 27 computations (22.9% saved)
Compiled 6 to 3 computations (50% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 52.6% | (+.f64 -1 (exp.f64 (neg.f64 x))) |
Compiled 14 to 7 computations (50% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 -1 (exp.f64 (neg.f64 x))) |
| 0.0ms | x | @ | inf | (+.f64 -1 (exp.f64 (neg.f64 x))) |
| 0.0ms | x | @ | -inf | (+.f64 -1 (exp.f64 (neg.f64 x))) |
| 1× | batch-egg-rewrite |
| 1436× | pow1 |
| 1326× | add-exp-log |
| 1322× | log1p-expm1-u |
| 1322× | expm1-log1p-u |
| 1300× | add-log-exp |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 166 | 11 |
| 2 | 2030 | 11 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 -1 (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (+.f64 -1 (exp.f64 x))) 1) |
(-.f64 (/.f64 1 (-.f64 -1 (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 -1 (exp.f64 x)))) |
(*.f64 (+.f64 -1 (exp.f64 x)) 1) |
(*.f64 1 (+.f64 -1 (exp.f64 x))) |
(*.f64 (cbrt.f64 (+.f64 -1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (exp.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 -1 (exp.f64 x)))) |
(*.f64 (sqrt.f64 (+.f64 -1 (exp.f64 x))) (sqrt.f64 (+.f64 -1 (exp.f64 x)))) |
(*.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))))) |
(*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (/.f64 1 (-.f64 -1 (exp.f64 x)))) |
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1)) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))) (+.f64 -1 (exp.f64 (*.f64 x 3))))) |
(/.f64 1 (/.f64 (-.f64 -1 (exp.f64 x)) (-.f64 1 (exp.f64 (+.f64 x x))))) |
(/.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))) |
(/.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (neg.f64 (exp.f64 x))))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 -1 (exp.f64 x))) |
(/.f64 (neg.f64 (+.f64 -1 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))))) |
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 -1 (exp.f64 x)))) |
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) 1) (-.f64 (exp.f64 x) -1)) |
(pow.f64 (+.f64 -1 (exp.f64 x)) 1) |
(pow.f64 (cbrt.f64 (+.f64 -1 (exp.f64 x))) 3) |
(pow.f64 (pow.f64 (+.f64 -1 (exp.f64 x)) 3) 1/3) |
(pow.f64 (sqrt.f64 (+.f64 -1 (exp.f64 x))) 2) |
(sqrt.f64 (pow.f64 (+.f64 -1 (exp.f64 x)) 2)) |
(log.f64 (exp.f64 (+.f64 -1 (exp.f64 x)))) |
(cbrt.f64 (pow.f64 (+.f64 -1 (exp.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 -1 (exp.f64 x)))) |
(exp.f64 (log.f64 (+.f64 -1 (exp.f64 x)))) |
(log1p.f64 (expm1.f64 (+.f64 -1 (exp.f64 x)))) |
(fma.f64 1 (exp.f64 x) -1) |
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) -1) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1) |
| 1× | egg-herbie |
| 1744× | times-frac |
| 812× | fma-neg |
| 722× | div-sub |
| 646× | associate-*r* |
| 580× | associate-*l* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 1003 |
| 1 | 240 | 859 |
| 2 | 734 | 687 |
| 3 | 4509 | 655 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 x) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1 x)))) |
(-.f64 (exp.f64 (neg.f64 x)) 1) |
(-.f64 (exp.f64 (neg.f64 x)) 1) |
(-.f64 (exp.f64 (neg.f64 x)) 1) |
(-.f64 (exp.f64 (neg.f64 x)) 1) |
(-.f64 (exp.f64 (*.f64 -1 x)) 1) |
(-.f64 (exp.f64 (*.f64 -1 x)) 1) |
(-.f64 (exp.f64 (*.f64 -1 x)) 1) |
(-.f64 (exp.f64 (*.f64 -1 x)) 1) |
(-.f64 (+.f64 1 (+.f64 -1 (exp.f64 x))) 1) |
(-.f64 (/.f64 1 (-.f64 -1 (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 -1 (exp.f64 x)))) |
(*.f64 (+.f64 -1 (exp.f64 x)) 1) |
(*.f64 1 (+.f64 -1 (exp.f64 x))) |
(*.f64 (cbrt.f64 (+.f64 -1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (exp.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 -1 (exp.f64 x)))) |
(*.f64 (sqrt.f64 (+.f64 -1 (exp.f64 x))) (sqrt.f64 (+.f64 -1 (exp.f64 x)))) |
(*.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))))) |
(*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (/.f64 1 (-.f64 -1 (exp.f64 x)))) |
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1)) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))) (+.f64 -1 (exp.f64 (*.f64 x 3))))) |
(/.f64 1 (/.f64 (-.f64 -1 (exp.f64 x)) (-.f64 1 (exp.f64 (+.f64 x x))))) |
(/.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))) |
(/.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (neg.f64 (exp.f64 x))))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 -1 (exp.f64 x))) |
(/.f64 (neg.f64 (+.f64 -1 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))))) |
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 -1 (exp.f64 x)))) |
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) 1) (-.f64 (exp.f64 x) -1)) |
(pow.f64 (+.f64 -1 (exp.f64 x)) 1) |
(pow.f64 (cbrt.f64 (+.f64 -1 (exp.f64 x))) 3) |
(pow.f64 (pow.f64 (+.f64 -1 (exp.f64 x)) 3) 1/3) |
(pow.f64 (sqrt.f64 (+.f64 -1 (exp.f64 x))) 2) |
(sqrt.f64 (pow.f64 (+.f64 -1 (exp.f64 x)) 2)) |
(log.f64 (exp.f64 (+.f64 -1 (exp.f64 x)))) |
(cbrt.f64 (pow.f64 (+.f64 -1 (exp.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 -1 (exp.f64 x)))) |
(exp.f64 (log.f64 (+.f64 -1 (exp.f64 x)))) |
(log1p.f64 (expm1.f64 (+.f64 -1 (exp.f64 x)))) |
(fma.f64 1 (exp.f64 x) -1) |
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) -1) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1) |
| Outputs |
|---|
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 1/2 (*.f64 x x) (neg.f64 x)) |
(-.f64 (*.f64 x (*.f64 x 1/2)) x) |
(fma.f64 x (*.f64 x 1/2) (neg.f64 x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1 x)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (neg.f64 x)))) |
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 4))) x)) |
(fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)) (-.f64 (*.f64 1/24 (pow.f64 x 4)) x)) |
(-.f64 (exp.f64 (neg.f64 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(-.f64 (exp.f64 (neg.f64 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(-.f64 (exp.f64 (neg.f64 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(-.f64 (exp.f64 (neg.f64 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(-.f64 (exp.f64 (*.f64 -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(-.f64 (exp.f64 (*.f64 -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(-.f64 (exp.f64 (*.f64 -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(-.f64 (exp.f64 (*.f64 -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(-.f64 (+.f64 1 (+.f64 -1 (exp.f64 x))) 1) |
(+.f64 (+.f64 0 (exp.f64 x)) -1) |
(+.f64 -1 (exp.f64 x)) |
(expm1.f64 x) |
(-.f64 (/.f64 1 (-.f64 -1 (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 -1 (exp.f64 x)))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 -1 (exp.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 -1 (exp.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 2 (expm1.f64 x))) |
(*.f64 (+.f64 -1 (exp.f64 x)) 1) |
(+.f64 (+.f64 0 (exp.f64 x)) -1) |
(+.f64 -1 (exp.f64 x)) |
(expm1.f64 x) |
(*.f64 1 (+.f64 -1 (exp.f64 x))) |
(+.f64 (+.f64 0 (exp.f64 x)) -1) |
(+.f64 -1 (exp.f64 x)) |
(expm1.f64 x) |
(*.f64 (cbrt.f64 (+.f64 -1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (exp.f64 x))) 2)) |
(+.f64 (+.f64 0 (exp.f64 x)) -1) |
(+.f64 -1 (exp.f64 x)) |
(expm1.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 -1 (exp.f64 x)))) |
(+.f64 (+.f64 0 (exp.f64 x)) -1) |
(+.f64 -1 (exp.f64 x)) |
(expm1.f64 x) |
(*.f64 (sqrt.f64 (+.f64 -1 (exp.f64 x))) (sqrt.f64 (+.f64 -1 (exp.f64 x)))) |
(+.f64 (+.f64 0 (exp.f64 x)) -1) |
(+.f64 -1 (exp.f64 x)) |
(expm1.f64 x) |
(*.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 3) x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 2) x)))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 2 (expm1.f64 x)) (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (*.f64 x 3)) (fma.f64 (exp.f64 x) (+.f64 2 (expm1.f64 x)) 1)) |
(*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (/.f64 1 (-.f64 -1 (exp.f64 x)))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 -1 (exp.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 -1 (exp.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 2 (expm1.f64 x))) |
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1)) |
(+.f64 (+.f64 0 (exp.f64 x)) -1) |
(+.f64 -1 (exp.f64 x)) |
(expm1.f64 x) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))) (+.f64 -1 (exp.f64 (*.f64 x 3))))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 3) x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 2) x)))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 2 (expm1.f64 x)) (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (*.f64 x 3)) (fma.f64 (exp.f64 x) (+.f64 2 (expm1.f64 x)) 1)) |
(/.f64 1 (/.f64 (-.f64 -1 (exp.f64 x)) (-.f64 1 (exp.f64 (+.f64 x x))))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 -1 (exp.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 -1 (exp.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 2 (expm1.f64 x))) |
(/.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 3) x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 2) x)))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 2 (expm1.f64 x)) (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (*.f64 x 3)) (fma.f64 (exp.f64 x) (+.f64 2 (expm1.f64 x)) 1)) |
(/.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (neg.f64 (exp.f64 x))))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 3) x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 2) x)))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 2 (expm1.f64 x)) (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (*.f64 x 3)) (fma.f64 (exp.f64 x) (+.f64 2 (expm1.f64 x)) 1)) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 -1 (exp.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 -1 (exp.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 2 (expm1.f64 x))) |
(/.f64 (neg.f64 (+.f64 -1 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 3) x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 2) x)))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 2 (expm1.f64 x)) (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (*.f64 x 3)) (fma.f64 (exp.f64 x) (+.f64 2 (expm1.f64 x)) 1)) |
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 -1 (exp.f64 x)))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 -1 (exp.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 -1 (exp.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 2 (expm1.f64 x))) |
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) 1) (-.f64 (exp.f64 x) -1)) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 -1 (exp.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 -1 (exp.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 2 (expm1.f64 x))) |
(pow.f64 (+.f64 -1 (exp.f64 x)) 1) |
(+.f64 (+.f64 0 (exp.f64 x)) -1) |
(+.f64 -1 (exp.f64 x)) |
(expm1.f64 x) |
(pow.f64 (cbrt.f64 (+.f64 -1 (exp.f64 x))) 3) |
(+.f64 (+.f64 0 (exp.f64 x)) -1) |
(+.f64 -1 (exp.f64 x)) |
(expm1.f64 x) |
(pow.f64 (pow.f64 (+.f64 -1 (exp.f64 x)) 3) 1/3) |
(+.f64 (+.f64 0 (exp.f64 x)) -1) |
(+.f64 -1 (exp.f64 x)) |
(expm1.f64 x) |
(pow.f64 (sqrt.f64 (+.f64 -1 (exp.f64 x))) 2) |
(+.f64 (+.f64 0 (exp.f64 x)) -1) |
(+.f64 -1 (exp.f64 x)) |
(expm1.f64 x) |
(sqrt.f64 (pow.f64 (+.f64 -1 (exp.f64 x)) 2)) |
(+.f64 (+.f64 0 (exp.f64 x)) -1) |
(+.f64 -1 (exp.f64 x)) |
(expm1.f64 x) |
(log.f64 (exp.f64 (+.f64 -1 (exp.f64 x)))) |
(+.f64 (+.f64 0 (exp.f64 x)) -1) |
(+.f64 -1 (exp.f64 x)) |
(expm1.f64 x) |
(cbrt.f64 (pow.f64 (+.f64 -1 (exp.f64 x)) 3)) |
(+.f64 (+.f64 0 (exp.f64 x)) -1) |
(+.f64 -1 (exp.f64 x)) |
(expm1.f64 x) |
(expm1.f64 (log1p.f64 (+.f64 -1 (exp.f64 x)))) |
(+.f64 (+.f64 0 (exp.f64 x)) -1) |
(+.f64 -1 (exp.f64 x)) |
(expm1.f64 x) |
(exp.f64 (log.f64 (+.f64 -1 (exp.f64 x)))) |
(+.f64 (+.f64 0 (exp.f64 x)) -1) |
(+.f64 -1 (exp.f64 x)) |
(expm1.f64 x) |
(log1p.f64 (expm1.f64 (+.f64 -1 (exp.f64 x)))) |
(+.f64 (+.f64 0 (exp.f64 x)) -1) |
(+.f64 -1 (exp.f64 x)) |
(expm1.f64 x) |
(fma.f64 1 (exp.f64 x) -1) |
(+.f64 (+.f64 0 (exp.f64 x)) -1) |
(+.f64 -1 (exp.f64 x)) |
(expm1.f64 x) |
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) -1) |
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x)) (cbrt.f64 (exp.f64 x)) -1) |
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) -1) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1) |
(+.f64 (+.f64 0 (exp.f64 x)) -1) |
(+.f64 -1 (exp.f64 x)) |
(expm1.f64 x) |
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 1/12 (pow.f64 x 4)) |
Compiled 25 to 16 computations (36% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 1/12 (pow.f64 x 4)) |
| 0.0ms | x | @ | inf | (*.f64 1/12 (pow.f64 x 4)) |
| 0.0ms | x | @ | -inf | (*.f64 1/12 (pow.f64 x 4)) |
| 1× | batch-egg-rewrite |
| 1190× | pow1 |
| 1104× | add-exp-log |
| 1104× | log1p-expm1-u |
| 1104× | expm1-log1p-u |
| 1080× | add-log-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 146 | 13 |
| 2 | 1559 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/12 (pow.f64 x 4)) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1) |
(pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1) |
(pow.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) 3) |
(pow.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3) 1/3) |
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) 2) |
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/144)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/12)) |
(cbrt.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(exp.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 4)))) |
| 1× | egg-herbie |
| 1940× | log-prod |
| 936× | distribute-rgt-in |
| 924× | distribute-lft-in |
| 726× | associate-*r* |
| 638× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 275 |
| 1 | 93 | 209 |
| 2 | 324 | 143 |
| 3 | 2026 | 143 |
| 4 | 6287 | 143 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1) |
(pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1) |
(pow.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) 3) |
(pow.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3) 1/3) |
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) 2) |
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/144)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/12)) |
(cbrt.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(exp.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 4)))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1) |
(+.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) -1) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0) |
(*.f64 1/12 (pow.f64 x 4)) |
(pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1) |
(+.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) -1) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0) |
(*.f64 1/12 (pow.f64 x 4)) |
(pow.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) 3) |
(+.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) -1) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0) |
(*.f64 1/12 (pow.f64 x 4)) |
(pow.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3) 1/3) |
(+.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) -1) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0) |
(*.f64 1/12 (pow.f64 x 4)) |
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) 2) |
(+.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) -1) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0) |
(*.f64 1/12 (pow.f64 x 4)) |
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/144)) |
(+.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) -1) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0) |
(*.f64 1/12 (pow.f64 x 4)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/12)) |
(+.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) -1) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0) |
(*.f64 1/12 (pow.f64 x 4)) |
(cbrt.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3)) |
(+.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) -1) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0) |
(*.f64 1/12 (pow.f64 x 4)) |
(expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(+.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) -1) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0) |
(*.f64 1/12 (pow.f64 x 4)) |
(exp.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(+.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) -1) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0) |
(*.f64 1/12 (pow.f64 x 4)) |
(log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(+.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) -1) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0) |
(*.f64 1/12 (pow.f64 x 4)) |
Compiled 783 to 484 computations (38.2% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 69 | 5 | 74 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 2 | 3 |
| Total | 70 | 11 | 81 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 20.6% | (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) |
| ✓ | 77.0% | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| ▶ | 88.4% | (+.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1)) |
| ✓ | 88.4% | (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) |
| ✓ | 78.2% | (*.f64 x x) |
| ▶ | 4.5% | (neg.f64 x) |
| ▶ | 27.0% | (expm1.f64 (neg.f64 x)) |
| ▶ | 28.6% | (expm1.f64 x) |
| 3.6% | 512 | |
| 3.6% | 1/9 | |
| 28.2% | 0 |
Compiled 101 to 74 computations (26.7% saved)
Found 2 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| 99.8% | (*.f64 1/12 (pow.f64 x 4)) | |
| ✓ | 88.4% | (-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1) |
Compiled 46 to 35 computations (23.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1) |
| 1× | batch-egg-rewrite |
| 1952× | pow1 |
| 1832× | add-exp-log |
| 1830× | log1p-expm1-u |
| 1830× | expm1-log1p-u |
| 216× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 222 | 13 |
| 2 | 2812 | 13 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1) |
| Outputs |
|---|
(+.f64 1 (fma.f64 1/12 (pow.f64 x 4) -1)) |
(+.f64 1 (*.f64 (fma.f64 1/12 (pow.f64 x 4) -1) 1)) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0) |
(+.f64 (fma.f64 1/12 (pow.f64 x 4) 1) -1) |
(+.f64 -1 (fma.f64 1/12 (pow.f64 x 4) 1)) |
(+.f64 (fma.f64 1/12 (pow.f64 x 4) -1) 1) |
(*.f64 1 (*.f64 1/12 (pow.f64 x 4))) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 (pow.f64 x 4) 1/12) |
(*.f64 (*.f64 1/12 (pow.f64 x 4)) 1) |
(*.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 1/144))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/144)) (cbrt.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 (cbrt.f64 (pow.f64 x 4)) 1/12)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12)) |
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) (*.f64 (*.f64 x x) (sqrt.f64 1/12))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2)))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2))) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) 1)) 1)) |
(*.f64 (*.f64 1/12 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (*.f64 1/12 (*.f64 x x)) (*.f64 x x)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2)) (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3) -1))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2) (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) -1))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (-.f64 1 (*.f64 (fma.f64 1/12 (pow.f64 x 4) 1) -1)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) -1) (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) -1) (-.f64 (fma.f64 1/12 (pow.f64 x 4) 1) -1)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 1/12 (pow.f64 x 4) -1) (fma.f64 1/12 (pow.f64 x 4) -1)) (fma.f64 1/12 (pow.f64 x 4) -1)))) |
(/.f64 (-.f64 1 (*.f64 (fma.f64 1/12 (pow.f64 x 4) -1) (fma.f64 1/12 (pow.f64 x 4) -1))) (-.f64 1 (fma.f64 1/12 (pow.f64 x 4) -1))) |
(pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1) |
(pow.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) 3) |
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728) 1/3) |
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) 2) |
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/144)) |
(log.f64 (pow.f64 (exp.f64 1/12) (pow.f64 x 4))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728)) |
(expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(exp.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(fma.f64 1 (fma.f64 1/12 (pow.f64 x 4) 1) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) 1)) 2) (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) 1)) -1) |
(fma.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) 1)) (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) 1)) -1) |
| 1× | egg-herbie |
| 938× | div-sub |
| 812× | distribute-lft-neg-in |
| 760× | distribute-rgt-neg-in |
| 758× | fma-def |
| 644× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 1308 |
| 1 | 279 | 1264 |
| 2 | 776 | 1252 |
| 3 | 4351 | 1252 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(+.f64 1 (fma.f64 1/12 (pow.f64 x 4) -1)) |
(+.f64 1 (*.f64 (fma.f64 1/12 (pow.f64 x 4) -1) 1)) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0) |
(+.f64 (fma.f64 1/12 (pow.f64 x 4) 1) -1) |
(+.f64 -1 (fma.f64 1/12 (pow.f64 x 4) 1)) |
(+.f64 (fma.f64 1/12 (pow.f64 x 4) -1) 1) |
(*.f64 1 (*.f64 1/12 (pow.f64 x 4))) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 (pow.f64 x 4) 1/12) |
(*.f64 (*.f64 1/12 (pow.f64 x 4)) 1) |
(*.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 1/144))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/144)) (cbrt.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 (cbrt.f64 (pow.f64 x 4)) 1/12)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12)) |
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) (*.f64 (*.f64 x x) (sqrt.f64 1/12))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2)))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2))) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) 1)) 1)) |
(*.f64 (*.f64 1/12 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (*.f64 1/12 (*.f64 x x)) (*.f64 x x)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2)) (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3) -1))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2) (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) -1))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (-.f64 1 (*.f64 (fma.f64 1/12 (pow.f64 x 4) 1) -1)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) -1) (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) -1) (-.f64 (fma.f64 1/12 (pow.f64 x 4) 1) -1)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 1/12 (pow.f64 x 4) -1) (fma.f64 1/12 (pow.f64 x 4) -1)) (fma.f64 1/12 (pow.f64 x 4) -1)))) |
(/.f64 (-.f64 1 (*.f64 (fma.f64 1/12 (pow.f64 x 4) -1) (fma.f64 1/12 (pow.f64 x 4) -1))) (-.f64 1 (fma.f64 1/12 (pow.f64 x 4) -1))) |
(pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1) |
(pow.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) 3) |
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728) 1/3) |
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) 2) |
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/144)) |
(log.f64 (pow.f64 (exp.f64 1/12) (pow.f64 x 4))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728)) |
(expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(exp.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(fma.f64 1 (fma.f64 1/12 (pow.f64 x 4) 1) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) 1)) 2) (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) 1)) -1) |
(fma.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) 1)) (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) 1)) -1) |
| Outputs |
|---|
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(+.f64 1 (fma.f64 1/12 (pow.f64 x 4) -1)) |
(*.f64 1/12 (pow.f64 x 4)) |
(+.f64 1 (*.f64 (fma.f64 1/12 (pow.f64 x 4) -1) 1)) |
(*.f64 1/12 (pow.f64 x 4)) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0) |
(*.f64 1/12 (pow.f64 x 4)) |
(+.f64 (fma.f64 1/12 (pow.f64 x 4) 1) -1) |
(*.f64 1/12 (pow.f64 x 4)) |
(+.f64 -1 (fma.f64 1/12 (pow.f64 x 4) 1)) |
(*.f64 1/12 (pow.f64 x 4)) |
(+.f64 (fma.f64 1/12 (pow.f64 x 4) -1) 1) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1 (*.f64 1/12 (pow.f64 x 4))) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 (pow.f64 x 4) 1/12) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 (*.f64 1/12 (pow.f64 x 4)) 1) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 1/144))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/144)) (cbrt.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 1/144))) |
(*.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 (cbrt.f64 (pow.f64 x 4)) 1/12)) |
(*.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 1/12 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 1/12 (*.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) (*.f64 (*.f64 x x) (sqrt.f64 1/12))) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (fma.f64 1/12 (pow.f64 x 4) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (fma.f64 1/12 (pow.f64 x 4) 2))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3)) (+.f64 -1 (*.f64 (fma.f64 1/12 (pow.f64 x 4) 1) (fma.f64 (pow.f64 x 4) -1/12 -2)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (pow.f64 x 4) -1/12 -1) 3)) (+.f64 -1 (*.f64 (fma.f64 1/12 (pow.f64 x 4) 1) (fma.f64 (pow.f64 x 4) -1/12 -2)))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2))) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) 1)) 1)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 (*.f64 1/12 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 1/12 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 1/12 (*.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (*.f64 1/12 (*.f64 x x)) (*.f64 x x)) |
(*.f64 1/12 (pow.f64 x 4)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2)) (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (fma.f64 1/12 (pow.f64 x 4) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (fma.f64 1/12 (pow.f64 x 4) 2))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3)) (+.f64 -1 (*.f64 (fma.f64 1/12 (pow.f64 x 4) 1) (fma.f64 (pow.f64 x 4) -1/12 -2)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (pow.f64 x 4) -1/12 -1) 3)) (+.f64 -1 (*.f64 (fma.f64 1/12 (pow.f64 x 4) 1) (fma.f64 (pow.f64 x 4) -1/12 -2)))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2) (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) -1))) |
(*.f64 1/12 (pow.f64 x 4)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (fma.f64 1/12 (pow.f64 x 4) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (fma.f64 1/12 (pow.f64 x 4) 2))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3)) (+.f64 -1 (*.f64 (fma.f64 1/12 (pow.f64 x 4) 1) (fma.f64 (pow.f64 x 4) -1/12 -2)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (pow.f64 x 4) -1/12 -1) 3)) (+.f64 -1 (*.f64 (fma.f64 1/12 (pow.f64 x 4) 1) (fma.f64 (pow.f64 x 4) -1/12 -2)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (-.f64 1 (*.f64 (fma.f64 1/12 (pow.f64 x 4) 1) -1)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (fma.f64 1/12 (pow.f64 x 4) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (fma.f64 1/12 (pow.f64 x 4) 2))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3)) (+.f64 -1 (*.f64 (fma.f64 1/12 (pow.f64 x 4) 1) (fma.f64 (pow.f64 x 4) -1/12 -2)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (pow.f64 x 4) -1/12 -1) 3)) (+.f64 -1 (*.f64 (fma.f64 1/12 (pow.f64 x 4) 1) (fma.f64 (pow.f64 x 4) -1/12 -2)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) -1) (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2)) |
(*.f64 1/12 (pow.f64 x 4)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) -1) (-.f64 (fma.f64 1/12 (pow.f64 x 4) 1) -1)) |
(*.f64 1/12 (pow.f64 x 4)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (fma.f64 1/12 (pow.f64 x 4) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) (fma.f64 1/12 (pow.f64 x 4) 2))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 3)) (+.f64 -1 (*.f64 (fma.f64 1/12 (pow.f64 x 4) 1) (fma.f64 (pow.f64 x 4) -1/12 -2)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (pow.f64 x 4) -1/12 -1) 3)) (+.f64 -1 (*.f64 (fma.f64 1/12 (pow.f64 x 4) 1) (fma.f64 (pow.f64 x 4) -1/12 -2)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) 2))) |
(*.f64 1/12 (pow.f64 x 4)) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 1/12 (pow.f64 x 4) -1) (fma.f64 1/12 (pow.f64 x 4) -1)) (fma.f64 1/12 (pow.f64 x 4) -1)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) -1) 3)) (+.f64 1 (fma.f64 (fma.f64 1/12 (pow.f64 x 4) -1) (fma.f64 1/12 (pow.f64 x 4) -1) (neg.f64 (fma.f64 1/12 (pow.f64 x 4) -1))))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) -1) 3)) (+.f64 1 (*.f64 (fma.f64 1/12 (pow.f64 x 4) -1) (-.f64 (fma.f64 1/12 (pow.f64 x 4) -1) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) -1) 3)) (fma.f64 (fma.f64 1/12 (pow.f64 x 4) -1) (+.f64 (*.f64 1/12 (pow.f64 x 4)) -2) 1)) |
(/.f64 (-.f64 1 (*.f64 (fma.f64 1/12 (pow.f64 x 4) -1) (fma.f64 1/12 (pow.f64 x 4) -1))) (-.f64 1 (fma.f64 1/12 (pow.f64 x 4) -1))) |
(/.f64 (fma.f64 (fma.f64 1/12 (pow.f64 x 4) -1) (fma.f64 (pow.f64 x 4) -1/12 1) 1) (+.f64 (*.f64 (pow.f64 x 4) -1/12) 2)) |
(/.f64 (fma.f64 (fma.f64 1/12 (pow.f64 x 4) -1) (fma.f64 (pow.f64 x 4) -1/12 1) 1) (+.f64 2 (*.f64 (pow.f64 x 4) -1/12))) |
(pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1) |
(*.f64 1/12 (pow.f64 x 4)) |
(pow.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) 3) |
(*.f64 1/12 (pow.f64 x 4)) |
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728)) |
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) 2) |
(*.f64 1/12 (pow.f64 x 4)) |
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/144)) |
(log.f64 (pow.f64 (exp.f64 1/12) (pow.f64 x 4))) |
(*.f64 1/12 (pow.f64 x 4)) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728)) |
(expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(*.f64 1/12 (pow.f64 x 4)) |
(exp.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(*.f64 1/12 (pow.f64 x 4)) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4))) 1)) |
(*.f64 1/12 (pow.f64 x 4)) |
(log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(*.f64 1/12 (pow.f64 x 4)) |
(fma.f64 1 (fma.f64 1/12 (pow.f64 x 4) 1) -1) |
(*.f64 1/12 (pow.f64 x 4)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) 1)) 2) (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) 1)) -1) |
(*.f64 1/12 (pow.f64 x 4)) |
(fma.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) 1)) (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) 1)) -1) |
(*.f64 1/12 (pow.f64 x 4)) |
Compiled 5 to 3 computations (40% saved)
Found 3 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) |
| ✓ | 99.9% | (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) |
| ✓ | 99.5% | (*.f64 x -1/6) |
Compiled 36 to 22 computations (38.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 x -1/6) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) |
| 0.0ms | x | @ | inf | (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) |
| 0.0ms | x | @ | inf | (*.f64 x -1/6) |
| 0.0ms | x | @ | 0 | (*.f64 x -1/6) |
| 1× | batch-egg-rewrite |
| 1210× | fma-def |
| 1102× | log-prod |
| 786× | pow-prod-down |
| 488× | pow-prod-up |
| 488× | pow-exp |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 63 |
| 1 | 233 | 55 |
| 2 | 3288 | 55 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x -1/6) |
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) |
| Outputs |
|---|
(+.f64 0 (*.f64 x -1/6)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -1/6)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/6))) 1) |
(pow.f64 (*.f64 x -1/6) 1) |
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3) |
(pow.f64 (*.f64 (*.f64 x x) 1/36) 1/2) |
(pow.f64 (*.f64 -1/216 (pow.f64 x 3)) 1/3) |
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2) |
(sqrt.f64 (*.f64 (*.f64 x x) 1/36)) |
(log.f64 (pow.f64 (exp.f64 x) -1/6)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/6)))) |
(cbrt.f64 (*.f64 -1/216 (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 x -1/6))) |
(exp.f64 (log.f64 (*.f64 x -1/6))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x -1/6)) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -1/6)) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x -1/6))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x -1/6))) 1/3)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -1/6)) 3) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -1/6))) 2)) |
(log1p.f64 (expm1.f64 (*.f64 x -1/6))) |
(+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/6 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2))) |
(+.f64 0 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 1/2))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 1/2))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))))) 1) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (-.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/6 (pow.f64 x 3)))))) |
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(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4)) (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) (*.f64 (neg.f64 x) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 x -1/6 1/2))) (neg.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 x -1/6 1/2))) (*.f64 (neg.f64 x) 1)) |
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -1/6 1/2)) (neg.f64 x)) |
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -1/6 1/2)) (*.f64 (neg.f64 x) 1)) |
(fma.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) 2) (fma.f64 (neg.f64 x) 1 x)) |
(fma.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(fma.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) 2) (+.f64 (neg.f64 x) x)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) (fma.f64 (neg.f64 x) 1 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) (+.f64 (neg.f64 x) x)) |
(fma.f64 (sqrt.f64 (fma.f64 x -1/6 1/2)) (*.f64 (sqrt.f64 (fma.f64 x -1/6 1/2)) (*.f64 x x)) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (fma.f64 x -1/6 1/2)) (*.f64 (sqrt.f64 (fma.f64 x -1/6 1/2)) (*.f64 x x)) (*.f64 (neg.f64 x) 1)) |
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) (neg.f64 x)) |
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) (*.f64 (neg.f64 x) 1)) |
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 x -1/6 1/2))) (neg.f64 x)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 x -1/6 1/2))) (*.f64 (neg.f64 x) 1)) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) (fma.f64 (neg.f64 x) 1 x)) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) (+.f64 (neg.f64 x) x)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 6) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) x) (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4))) (fma.f64 (neg.f64 x) 1 x)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 6) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) x) (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 6) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) x) (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4))) (+.f64 (neg.f64 x) x)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4) (*.f64 x x)) (/.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) x)) (fma.f64 (neg.f64 x) 1 x)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4) (*.f64 x x)) (/.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4) (*.f64 x x)) (/.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) x)) (+.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 x (fma.f64 x -1/6 1/2)) x (neg.f64 x)) |
(fma.f64 (*.f64 x (fma.f64 x -1/6 1/2)) x (*.f64 (neg.f64 x) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) |
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/2))) (sqrt.f64 (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) |
(fma.f64 -1 x (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) |
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2)) (sqrt.f64 x)) (fma.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2)) (neg.f64 (sqrt.f64 x))) (fma.f64 (neg.f64 x) 1 x)) |
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2)) (sqrt.f64 x)) (fma.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2)) (neg.f64 (sqrt.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2)) (sqrt.f64 x)) (fma.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2)) (neg.f64 (sqrt.f64 x))) (+.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 1/2 x) x (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(fma.f64 (*.f64 1/2 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 x -1/6 1/2))) 2) (cbrt.f64 (fma.f64 x -1/6 1/2)) (neg.f64 x)) |
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 x -1/6 1/2))) 2) (cbrt.f64 (fma.f64 x -1/6 1/2)) (*.f64 (neg.f64 x) 1)) |
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/6 1/2))) (sqrt.f64 (fma.f64 x -1/6 1/2)) (neg.f64 x)) |
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/6 1/2))) (sqrt.f64 (fma.f64 x -1/6 1/2)) (*.f64 (neg.f64 x) 1)) |
(fma.f64 (*.f64 (fma.f64 x -1/6 1/2) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 x)) |
(fma.f64 (*.f64 (fma.f64 x -1/6 1/2) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 x) 1)) |
| 1× | egg-herbie |
| 1258× | distribute-lft-in |
| 980× | unswap-sqr |
| 858× | fma-neg |
| 466× | cancel-sign-sub-inv |
| 410× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 437 | 8303 |
| 1 | 1046 | 7041 |
| 2 | 3074 | 7027 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(*.f64 -1 x) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 0 (*.f64 x -1/6)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -1/6)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/6))) 1) |
(pow.f64 (*.f64 x -1/6) 1) |
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3) |
(pow.f64 (*.f64 (*.f64 x x) 1/36) 1/2) |
(pow.f64 (*.f64 -1/216 (pow.f64 x 3)) 1/3) |
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2) |
(sqrt.f64 (*.f64 (*.f64 x x) 1/36)) |
(log.f64 (pow.f64 (exp.f64 x) -1/6)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/6)))) |
(cbrt.f64 (*.f64 -1/216 (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 x -1/6))) |
(exp.f64 (log.f64 (*.f64 x -1/6))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x -1/6)) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -1/6)) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x -1/6))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x -1/6))) 1/3)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -1/6)) 3) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -1/6))) 2)) |
(log1p.f64 (expm1.f64 (*.f64 x -1/6))) |
(+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/6 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2))) |
(+.f64 0 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 1/2))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 1/2))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))))) 1) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (-.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/6 (pow.f64 x 3)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/6 (pow.f64 x 3)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 -1/216 (pow.f64 x 3) 1/8)) (fma.f64 (*.f64 x -1/6) (fma.f64 x -1/6 -1/2) 1/4)) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/36))) (+.f64 1/2 (*.f64 1/6 x))) |
(/.f64 (*.f64 (fma.f64 -1/216 (pow.f64 x 3) 1/8) (*.f64 x x)) (fma.f64 (*.f64 x -1/6) (fma.f64 x -1/6 -1/2) 1/4)) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/36)) (*.f64 x x)) (+.f64 1/2 (*.f64 1/6 x))) |
(pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))) 1) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) 3) |
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4) 1/2) |
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 6) 1/3) |
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 2) |
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))))) |
(log.f64 (*.f64 (exp.f64 (*.f64 -1/6 (pow.f64 x 3))) (exp.f64 (*.f64 x (*.f64 x 1/2))))) |
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 6)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))))) 3)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 6)) 1/3)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) 3) 1/3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2)))) 2)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))))) |
(fma.f64 x (*.f64 x (*.f64 x -1/6)) (*.f64 x (*.f64 x 1/2))) |
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/6 (pow.f64 x 3))) |
(fma.f64 x (*.f64 -1/6 (*.f64 x x)) (*.f64 x (*.f64 x 1/2))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) |
(fma.f64 (*.f64 x -1/6) (*.f64 x x) (*.f64 x (*.f64 x 1/2))) |
(fma.f64 (*.f64 x x) (*.f64 x -1/6) (*.f64 x (*.f64 x 1/2))) |
(fma.f64 (*.f64 x x) 1/2 (*.f64 -1/6 (pow.f64 x 3))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3))) |
(fma.f64 1 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/6 (pow.f64 x 3))) |
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2))) |
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(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 x -1/6 1/2))) (*.f64 (neg.f64 x) 1)) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) (fma.f64 (neg.f64 x) 1 x)) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) (+.f64 (neg.f64 x) x)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 6) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) x) (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4))) (fma.f64 (neg.f64 x) 1 x)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 6) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) x) (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 6) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) x) (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4))) (+.f64 (neg.f64 x) x)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4) (*.f64 x x)) (/.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) x)) (fma.f64 (neg.f64 x) 1 x)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4) (*.f64 x x)) (/.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4) (*.f64 x x)) (/.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) x)) (+.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 x (fma.f64 x -1/6 1/2)) x (neg.f64 x)) |
(fma.f64 (*.f64 x (fma.f64 x -1/6 1/2)) x (*.f64 (neg.f64 x) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) |
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/2))) (sqrt.f64 (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) |
(fma.f64 -1 x (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) |
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2)) (sqrt.f64 x)) (fma.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2)) (neg.f64 (sqrt.f64 x))) (fma.f64 (neg.f64 x) 1 x)) |
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2)) (sqrt.f64 x)) (fma.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2)) (neg.f64 (sqrt.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2)) (sqrt.f64 x)) (fma.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2)) (neg.f64 (sqrt.f64 x))) (+.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 1/2 x) x (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(fma.f64 (*.f64 1/2 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 x -1/6 1/2))) 2) (cbrt.f64 (fma.f64 x -1/6 1/2)) (neg.f64 x)) |
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 x -1/6 1/2))) 2) (cbrt.f64 (fma.f64 x -1/6 1/2)) (*.f64 (neg.f64 x) 1)) |
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/6 1/2))) (sqrt.f64 (fma.f64 x -1/6 1/2)) (neg.f64 x)) |
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/6 1/2))) (sqrt.f64 (fma.f64 x -1/6 1/2)) (*.f64 (neg.f64 x) 1)) |
(fma.f64 (*.f64 (fma.f64 x -1/6 1/2) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 x)) |
(fma.f64 (*.f64 (fma.f64 x -1/6 1/2) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 x) 1)) |
| Outputs |
|---|
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) |
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) |
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) |
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) |
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) |
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) |
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) |
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) |
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) |
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 1/2 (*.f64 x x) (neg.f64 x)) |
(-.f64 (*.f64 1/2 (*.f64 x x)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) |
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) |
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(+.f64 0 (*.f64 x -1/6)) |
(*.f64 -1/6 x) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6)))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6)))) |
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -1/6)))) |
(*.f64 -1/6 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/6))) 1) |
(*.f64 -1/6 x) |
(pow.f64 (*.f64 x -1/6) 1) |
(*.f64 -1/6 x) |
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3) |
(*.f64 -1/6 x) |
(pow.f64 (*.f64 (*.f64 x x) 1/36) 1/2) |
(sqrt.f64 (*.f64 x (*.f64 x 1/36))) |
(pow.f64 (*.f64 -1/216 (pow.f64 x 3)) 1/3) |
(*.f64 -1/6 x) |
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2) |
(*.f64 -1/6 x) |
(sqrt.f64 (*.f64 (*.f64 x x) 1/36)) |
(sqrt.f64 (*.f64 x (*.f64 x 1/36))) |
(log.f64 (pow.f64 (exp.f64 x) -1/6)) |
(*.f64 -1/6 x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/6)))) |
(*.f64 -1/6 x) |
(cbrt.f64 (*.f64 -1/216 (pow.f64 x 3))) |
(*.f64 -1/6 x) |
(expm1.f64 (log1p.f64 (*.f64 x -1/6))) |
(*.f64 -1/6 x) |
(exp.f64 (log.f64 (*.f64 x -1/6))) |
(*.f64 -1/6 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x -1/6)) 1)) |
(*.f64 -1/6 x) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -1/6)) 1) 1)) |
(*.f64 -1/6 x) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x -1/6))) 3)) |
(*.f64 -1/6 x) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x -1/6))) 1/3)) |
(*.f64 -1/6 x) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -1/6)) 3) 1/3)) |
(*.f64 -1/6 x) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -1/6))) 2)) |
(*.f64 -1/6 x) |
(log1p.f64 (expm1.f64 (*.f64 x -1/6))) |
(*.f64 -1/6 x) |
(+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/6 (pow.f64 x 3))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) |
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) |
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) |
(+.f64 0 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) |
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) |
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) |
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 1/2))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 1/2))))) |
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 -1/6 x 1/2))))) |
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/6 x 1/2)) (*.f64 x x))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 1/2))))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) |
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))))) 1) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) |
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (-.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/6 (pow.f64 x 3)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) (-.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)) (*.f64 x (*.f64 (*.f64 x 1/2) (*.f64 -1/6 (pow.f64 x 3)))))) |
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (*.f64 1/36 (pow.f64 x 6)) (*.f64 (pow.f64 x 3) (*.f64 (*.f64 x x) -1/12))))) |
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (*.f64 1/8 (pow.f64 x 6))) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (fma.f64 1/36 (pow.f64 x 6) (*.f64 (pow.f64 x 3) (*.f64 (*.f64 x x) 1/12))))) |
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(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))))) (/.f64 1 (exp.f64 x)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 1/2)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))))))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))))))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 1/2)) (+.f64 1 (expm1.f64 x)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))))) (exp.f64 x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))))) (+.f64 1 (expm1.f64 x)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x)) 3)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) 1)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x))) 1) 1)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x)))) 3)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x)))) 1/3)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x)))) 2)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 x (*.f64 x (fma.f64 x -1/6 1/2)) (neg.f64 x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 x (*.f64 x (fma.f64 x -1/6 1/2)) (*.f64 (neg.f64 x) 1)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 x (*.f64 x 1/2) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (*.f64 x x) 1/2 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (*.f64 (neg.f64 x) 1)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (fma.f64 x -1/6 1/2) (*.f64 x x) (neg.f64 x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (fma.f64 x -1/6 1/2) (*.f64 x x) (*.f64 (neg.f64 x) 1)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))) 1 (neg.f64 x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))) 1 (*.f64 (neg.f64 x) 1)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x)) 1 (fma.f64 (neg.f64 x) 1 x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x)) 1 (+.f64 (neg.f64 x) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 1 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))) (neg.f64 x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 1 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))) (*.f64 (neg.f64 x) 1)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x)) (fma.f64 (neg.f64 x) 1 x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 1/2) (neg.f64 x)) (+.f64 (neg.f64 x) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 1 (neg.f64 x) (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 1 (*.f64 x (*.f64 x 1/2)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/6 1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 x -1/6 1/2)) (*.f64 x x)) (neg.f64 x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/6 1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 x -1/6 1/2)) (*.f64 x x)) (*.f64 (neg.f64 x) 1)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4)) (neg.f64 x)) |
(-.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/6 x 1/2))) 4))) x) |
(-.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/6 x 1/2))) 4))) x) |
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4)) (*.f64 (neg.f64 x) 1)) |
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4)) (neg.f64 x)) |
(-.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/6 x 1/2))) 4))) x) |
(-.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/6 x 1/2))) 4))) x) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4)) (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) (neg.f64 x)) |
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4)) (neg.f64 x)) |
(-.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/6 x 1/2))) 4))) x) |
(-.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/6 x 1/2))) 4))) x) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4)) (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) (*.f64 (neg.f64 x) 1)) |
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 4)) (neg.f64 x)) |
(-.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/6 x 1/2))) 4))) x) |
(-.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/6 x 1/2))) 4))) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
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(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2)) (sqrt.f64 x)) (fma.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2)) (neg.f64 (sqrt.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2)) (sqrt.f64 x)) (fma.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2)) (neg.f64 (sqrt.f64 x))) (+.f64 (neg.f64 x) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (*.f64 1/2 x) x (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (*.f64 1/2 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(fma.f64 (*.f64 x (cbrt.f64 x)) (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) |
(-.f64 (fma.f64 (*.f64 x (cbrt.f64 x)) (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (*.f64 -1/6 (pow.f64 x 3))) x) |
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 x -1/6 1/2))) 2) (cbrt.f64 (fma.f64 x -1/6 1/2)) (neg.f64 x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 x -1/6 1/2))) 2) (cbrt.f64 (fma.f64 x -1/6 1/2)) (*.f64 (neg.f64 x) 1)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/6 1/2))) (sqrt.f64 (fma.f64 x -1/6 1/2)) (neg.f64 x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/6 1/2))) (sqrt.f64 (fma.f64 x -1/6 1/2)) (*.f64 (neg.f64 x) 1)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (*.f64 (fma.f64 x -1/6 1/2) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
(fma.f64 (*.f64 (fma.f64 x -1/6 1/2) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 x) 1)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2)) x) |
Compiled 5 to 3 computations (40% saved)
Compiled 8 to 4 computations (50% saved)
Compiled 5958 to 3789 computations (36.4% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 327 | 1 | 328 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 6 | 7 |
| Total | 328 | 11 | 339 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 20.6% | (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) |
| ✓ | 77.0% | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| ✓ | 88.4% | (+.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1)) |
| ▶ | 88.4% | (+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12))) |
| ✓ | 78.2% | (*.f64 x x) |
| ✓ | 4.5% | (neg.f64 x) |
| ✓ | 27.0% | (expm1.f64 (neg.f64 x)) |
| ✓ | 28.6% | (expm1.f64 x) |
| 3.6% | 512 | |
| 3.6% | 1/9 | |
| 28.2% | 0 |
Compiled 69 to 47 computations (31.9% saved)
Found 2 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12)) |
| ✓ | 99.7% | (*.f64 (*.f64 x x) 1/12) |
Compiled 34 to 13 computations (61.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) 1/12) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) 1/12) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x x) 1/12) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12)) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12)) |
| 1× | batch-egg-rewrite |
| 1298× | pow1 |
| 1198× | add-exp-log |
| 1198× | log1p-expm1-u |
| 1198× | expm1-log1p-u |
| 1172× | add-log-exp |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 38 |
| 1 | 145 | 26 |
| 2 | 1706 | 26 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) 1/12) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12)) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/12))) 1) |
(pow.f64 (*.f64 x (*.f64 x 1/12)) 1) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/12))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/12)) 3) 1/3) |
(pow.f64 (*.f64 x (sqrt.f64 1/12)) 2) |
(sqrt.f64 (*.f64 1/144 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/12))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/12)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/12)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x 1/12)))) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/12)))) |
(-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1) |
(pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1) |
(pow.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) 3) |
(pow.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3) 1/3) |
(pow.f64 (*.f64 x (*.f64 x (sqrt.f64 1/12))) 2) |
(sqrt.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 2)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/12)) |
(cbrt.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(exp.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 4)))) |
| 1× | egg-herbie |
| 1448× | log-prod |
| 1096× | distribute-rgt-in |
| 1084× | fma-def |
| 1058× | distribute-lft-in |
| 706× | unswap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 598 |
| 1 | 150 | 598 |
| 2 | 574 | 598 |
| 3 | 2031 | 598 |
| 4 | 7446 | 598 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/12))) 1) |
(pow.f64 (*.f64 x (*.f64 x 1/12)) 1) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/12))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/12)) 3) 1/3) |
(pow.f64 (*.f64 x (sqrt.f64 1/12)) 2) |
(sqrt.f64 (*.f64 1/144 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/12))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/12)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/12)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x 1/12)))) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/12)))) |
(-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1) |
(pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1) |
(pow.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) 3) |
(pow.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3) 1/3) |
(pow.f64 (*.f64 x (*.f64 x (sqrt.f64 1/12))) 2) |
(sqrt.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 2)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/12)) |
(cbrt.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(exp.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 4)))) |
| Outputs |
|---|
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (*.f64 x x)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (*.f64 x x)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (*.f64 x x)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (*.f64 x x)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (*.f64 x x)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (*.f64 x x)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (*.f64 x x)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (*.f64 x x)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (*.f64 x x)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (*.f64 x x)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (*.f64 x x)) |
(*.f64 1/12 (pow.f64 x 2)) |
(*.f64 1/12 (*.f64 x x)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/12))) 1) |
(*.f64 1/12 (*.f64 x x)) |
(pow.f64 (*.f64 x (*.f64 x 1/12)) 1) |
(*.f64 1/12 (*.f64 x x)) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/12))) 3) |
(*.f64 1/12 (*.f64 x x)) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/12)) 3) 1/3) |
(*.f64 1/12 (*.f64 x x)) |
(pow.f64 (*.f64 x (sqrt.f64 1/12)) 2) |
(*.f64 1/12 (*.f64 x x)) |
(sqrt.f64 (*.f64 1/144 (pow.f64 x 4))) |
(*.f64 1/12 (*.f64 x x)) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/12))) |
(*.f64 1/12 (*.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/12)) 3)) |
(*.f64 1/12 (*.f64 x x)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/12)))) |
(*.f64 1/12 (*.f64 x x)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x 1/12)))) |
(*.f64 1/12 (*.f64 x x)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/12)))) |
(*.f64 1/12 (*.f64 x x)) |
(-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1) |
(*.f64 1/12 (pow.f64 x 4)) |
(pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1) |
(*.f64 1/12 (pow.f64 x 4)) |
(pow.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) 3) |
(*.f64 1/12 (pow.f64 x 4)) |
(pow.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3) 1/3) |
(*.f64 1/12 (pow.f64 x 4)) |
(pow.f64 (*.f64 x (*.f64 x (sqrt.f64 1/12))) 2) |
(*.f64 1/12 (pow.f64 x 4)) |
(sqrt.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 2)) |
(*.f64 1/12 (pow.f64 x 4)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/12)) |
(*.f64 1/12 (pow.f64 x 4)) |
(cbrt.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3)) |
(*.f64 1/12 (pow.f64 x 4)) |
(expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(*.f64 1/12 (pow.f64 x 4)) |
(exp.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(*.f64 1/12 (pow.f64 x 4)) |
(log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(*.f64 1/12 (pow.f64 x 4)) |
Compiled 334 to 184 computations (44.9% saved)
12 alts after pruning (4 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 24 | 1 | 25 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 24 | 12 | 36 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 20.6% | (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) |
| ✓ | 77.0% | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| ✓ | 88.4% | (+.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1)) |
| 88.4% | (+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/12))) 1))) | |
| ✓ | 88.4% | (+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12))) |
| ✓ | 78.2% | (*.f64 x x) |
| ✓ | 4.5% | (neg.f64 x) |
| ✓ | 27.0% | (expm1.f64 (neg.f64 x)) |
| ✓ | 28.6% | (expm1.f64 x) |
| 3.6% | 512 | |
| 3.6% | 1/9 | |
| 28.2% | 0 |
Compiled 185 to 109 computations (41.1% saved)
| Inputs |
|---|
0 |
1/9 |
512 |
(neg.f64 x) |
(*.f64 x x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/12))) 1))) |
(expm1.f64 x) |
(expm1.f64 (neg.f64 x)) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1)) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(*.f64 x x) |
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
2 calls:
| 46.0ms | x |
| 4.0ms | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | x |
| 100.0% | 2 | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
Compiled 109 to 59 computations (45.9% saved)
| Inputs |
|---|
0 |
1/9 |
512 |
(neg.f64 x) |
(*.f64 x x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/12))) 1))) |
(expm1.f64 x) |
(expm1.f64 (neg.f64 x)) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1)) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
| Outputs |
|---|
(expm1.f64 (neg.f64 x)) |
(*.f64 x x) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
1 calls:
| 75.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | x |
Compiled 92 to 49 computations (46.7% saved)
| Inputs |
|---|
0 |
1/9 |
512 |
(neg.f64 x) |
(*.f64 x x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/12))) 1))) |
(expm1.f64 x) |
(expm1.f64 (neg.f64 x)) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1)) |
| Outputs |
|---|
(expm1.f64 (neg.f64 x)) |
(+.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1)) |
(expm1.f64 x) |
1 calls:
| 20.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | x |
Compiled 84 to 45 computations (46.4% saved)
| Inputs |
|---|
0 |
1/9 |
512 |
(neg.f64 x) |
(*.f64 x x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/12))) 1))) |
(expm1.f64 x) |
(expm1.f64 (neg.f64 x)) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) |
| Outputs |
|---|
(expm1.f64 (neg.f64 x)) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12))) |
(expm1.f64 x) |
1 calls:
| 20.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | x |
Compiled 71 to 36 computations (49.3% saved)
| Inputs |
|---|
0 |
1/9 |
512 |
(neg.f64 x) |
(*.f64 x x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/12))) 1))) |
(expm1.f64 x) |
| Outputs |
|---|
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12))) |
(expm1.f64 x) |
1 calls:
| 42.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.8% | 2 | x |
Compiled 54 to 27 computations (50% saved)
| Inputs |
|---|
0 |
1/9 |
512 |
(neg.f64 x) |
(*.f64 x x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/12))) 1))) |
| Outputs |
|---|
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 1 | x |
Compiled 52 to 26 computations (50% saved)
| Inputs |
|---|
0 |
1/9 |
512 |
(neg.f64 x) |
(*.f64 x x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) |
| Outputs |
|---|
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) |
(*.f64 x x) |
1 calls:
| 41.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.6% | 2 | x |
Compiled 22 to 13 computations (40.9% saved)
| Inputs |
|---|
0 |
1/9 |
512 |
(neg.f64 x) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 x x) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 1 | x |
Compiled 11 to 7 computations (36.4% saved)
Total -16.7b remaining (-36.4%)
Threshold costs -16.7b (-36.4%)
| Inputs |
|---|
0 |
1/9 |
512 |
(neg.f64 x) |
| Outputs |
|---|
0 |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.2% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.029734263804822025 |
Compiled 13 to 10 computations (23.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.130905032584496e-10 | 0.17222333555867647 |
| 24.0ms | -2.535976747160347e+22 | -3.709684261502658e-17 |
| 33.0ms | 320× | body | 256 | valid |
| 3.0ms | 16× | body | 256 | infinite |
Compiled 268 to 193 computations (28% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.17222333555867647 | 315429.4390399887 |
| 22.0ms | -2.535976747160347e+22 | -3.709684261502658e-17 |
| 32.0ms | 320× | body | 256 | valid |
| 2.0ms | 16× | body | 256 | infinite |
Compiled 424 to 337 computations (20.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 0.17222333555867647 | 315429.4390399887 |
| 22.0ms | -2.535976747160347e+22 | -3.709684261502658e-17 |
| 39.0ms | 320× | body | 256 | valid |
| 2.0ms | 16× | body | 256 | infinite |
Compiled 424 to 232 computations (45.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.17222333555867647 | 315429.4390399887 |
| 14.0ms | 144× | body | 256 | valid |
Compiled 184 to 100 computations (45.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | -2.535976747160347e+22 | -3.709684261502658e-17 |
| 19.0ms | 176× | body | 256 | valid |
| 2.0ms | 16× | body | 256 | infinite |
Compiled 229 to 154 computations (32.8% saved)
| 1× | egg-herbie |
| 28× | +-commutative |
| 20× | unsub-neg |
| 16× | neg-mul-1 |
| 16× | *-commutative |
| 12× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 405 |
| 1 | 77 | 405 |
| 2 | 86 | 405 |
| 3 | 94 | 405 |
| 4 | 106 | 405 |
| 5 | 125 | 405 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 0) (*.f64 x x) (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))) |
(if (<=.f64 x -3715469692580659/2251799813685248) (expm1.f64 (neg.f64 x)) (if (<=.f64 x 6640827866535439/36893488147419103232) (*.f64 x x) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)))) |
(if (<=.f64 x -5854679515581645/2251799813685248) (expm1.f64 (neg.f64 x)) (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1)) (expm1.f64 x))) |
(if (<=.f64 x -5854679515581645/2251799813685248) (expm1.f64 (neg.f64 x)) (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12))) (expm1.f64 x))) |
(if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12))) (expm1.f64 x)) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12))) |
(if (<=.f64 x -3/2) (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) (*.f64 x x)) |
(*.f64 x x) |
0 |
| Outputs |
|---|
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 0) (*.f64 x x) (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))) |
(if (<=.f64 x -3715469692580659/2251799813685248) (expm1.f64 (neg.f64 x)) (if (<=.f64 x 6640827866535439/36893488147419103232) (*.f64 x x) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)))) |
(if (<=.f64 x -5854679515581645/2251799813685248) (expm1.f64 (neg.f64 x)) (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1)) (expm1.f64 x))) |
(if (<=.f64 x -5854679515581645/2251799813685248) (expm1.f64 (neg.f64 x)) (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (*.f64 x x) (+.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) -1)) (expm1.f64 x))) |
(if (<=.f64 x -5854679515581645/2251799813685248) (expm1.f64 (neg.f64 x)) (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12))) (expm1.f64 x))) |
(if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12))) (expm1.f64 x)) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12))) |
(if (<=.f64 x -3/2) (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) (*.f64 x x)) |
(*.f64 x x) |
0 |
Compiled 159 to 95 computations (40.3% saved)
| 2232× | fma-def |
| 1952× | pow1 |
| 1832× | add-exp-log |
| 1830× | log1p-expm1-u |
| 1830× | expm1-log1p-u |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 22 | 25 |
| 2 | 38 | 25 |
| 3 | 62 | 25 |
| 4 | 125 | 25 |
| 5 | 275 | 25 |
| 6 | 712 | 25 |
| 7 | 1748 | 25 |
| 8 | 3169 | 25 |
| 9 | 7087 | 25 |
| 0 | 62 | 358 |
| 1 | 105 | 346 |
| 2 | 182 | 346 |
| 3 | 470 | 346 |
| 4 | 2017 | 346 |
| 5 | 4585 | 346 |
| 6 | 5749 | 346 |
| 0 | 10 | 25 |
| 1 | 219 | 25 |
| 2 | 3069 | 25 |
| 0 | 102 | 1003 |
| 1 | 240 | 859 |
| 2 | 734 | 687 |
| 3 | 4509 | 655 |
| 0 | 62 | 358 |
| 1 | 105 | 346 |
| 2 | 182 | 346 |
| 3 | 470 | 346 |
| 4 | 2017 | 346 |
| 5 | 4585 | 346 |
| 6 | 5749 | 346 |
| 0 | 7 | 13 |
| 1 | 146 | 13 |
| 2 | 1559 | 13 |
| 0 | 10 | 25 |
| 1 | 222 | 13 |
| 2 | 2812 | 13 |
| 0 | 8 | 15 |
| 1 | 166 | 11 |
| 2 | 2030 | 11 |
| 0 | 102 | 1003 |
| 1 | 240 | 859 |
| 2 | 734 | 687 |
| 3 | 4509 | 655 |
| 0 | 102 | 1003 |
| 1 | 240 | 859 |
| 2 | 734 | 687 |
| 3 | 4509 | 655 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 618 to 404 computations (34.6% saved)
Compiled 338 to 172 computations (49.1% saved)
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