Time bar (total: 48.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 66.7% | 50% | 25% | 0% | 25% | 0% | 0% | 4 |
| 80% | 50% | 12.5% | 0% | 37.5% | 0% | 0% | 5 |
| 88.9% | 50% | 6.2% | 0% | 43.7% | 0% | 0% | 6 |
| 94.1% | 50% | 3.1% | 0% | 46.9% | 0% | 0% | 7 |
| 97% | 50% | 1.6% | 0% | 48.4% | 0% | 0% | 8 |
| 98.5% | 50% | 0.8% | 0% | 49.2% | 0% | 0% | 9 |
| 99.2% | 50.4% | 0.4% | 0% | 49.2% | 0% | 0% | 10 |
| 99.6% | 50.4% | 0.2% | 0% | 49.4% | 0% | 0% | 11 |
| 99.8% | 50.4% | 0.1% | 0% | 49.5% | 0% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 16.9s | 4254× | body | 2048 | valid |
| 4.3s | 2060× | body | 1024 | valid |
| 1.3s | 1060× | body | 512 | valid |
| 868.0ms | 882× | body | 256 | valid |
| 2.0ms | 10× | body | 256 | infinite |
| 2× | egg-herbie |
| 1226× | rational_best-simplify-53 |
| 1194× | rational_best-simplify-52 |
| 1166× | rational_best-simplify-49 |
| 970× | rational_best-simplify-65 |
| 898× | rational_best-simplify-48 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 18 | 25 |
| 2 | 26 | 25 |
| 3 | 36 | 25 |
| 4 | 52 | 25 |
| 5 | 81 | 25 |
| 6 | 163 | 25 |
| 7 | 357 | 25 |
| 8 | 866 | 25 |
| 9 | 1629 | 25 |
| 10 | 4320 | 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 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
| 1226× | rational_best-simplify-53 |
| 1194× | rational_best-simplify-52 |
| 1166× | rational_best-simplify-49 |
| 970× | rational_best-simplify-65 |
| 898× | rational_best-simplify-48 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 18 | 25 |
| 2 | 26 | 25 |
| 3 | 36 | 25 |
| 4 | 52 | 25 |
| 5 | 81 | 25 |
| 6 | 163 | 25 |
| 7 | 357 | 25 |
| 8 | 866 | 25 |
| 9 | 1629 | 25 |
| 10 | 4320 | 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 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) |
Compiled 17 to 10 computations (41.2% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.5b | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| ▶ | 29.4b | (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) |
Compiled 18 to 14 computations (22.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (exp.f64 (neg.f64 x)) 2) |
| ✓ | 4.0b | (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) |
Compiled 23 to 10 computations (56.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | x | @ | -inf | (-.f64 (exp.f64 (neg.f64 x)) 2) |
| 1.0ms | 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)) |
| 0.0ms | x | @ | 0 | (-.f64 (exp.f64 (neg.f64 x)) 2) |
| 1× | batch-egg-rewrite |
| 940× | rational_best-simplify-83 |
| 802× | rational_best-simplify-48 |
| 742× | rational_best-simplify-52 |
| 624× | rational_best-simplify-51 |
| 620× | rational_best-simplify-57 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 40 |
| 1 | 68 | 40 |
| 2 | 138 | 40 |
| 3 | 382 | 40 |
| 4 | 1358 | 40 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1196× | rational_best-simplify-51 |
| 1152× | rational_best-simplify-3 |
| 820× | rational_best-simplify-67 |
| 726× | rational_best-simplify-49 |
| 690× | rational_best-simplify-55 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 6035 |
| 1 | 1162 | 5921 |
| 2 | 3238 | 5855 |
| 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 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(-.f64 (exp.f64 (*.f64 -1 x)) 2) |
(-.f64 (exp.f64 (*.f64 -1 x)) 2) |
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(*.f64 4 (-.f64 (/.f64 1/4 (exp.f64 x)) 1/2)) |
(*.f64 4 (*.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (/.f64 1/4 (exp.f64 x)))) |
(*.f64 (/.f64 4 (exp.f64 x)) (+.f64 1/4 (/.f64 (exp.f64 x) -2))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 4) 1/4) |
(*.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) 2) |
(*.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 2 (+.f64 1 (*.f64 (exp.f64 x) -2)))) |
(*.f64 (/.f64 1/2 (exp.f64 x)) (/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) 1/2)) |
(*.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 (neg.f64 x))) |
(*.f64 (*.f64 2 (+.f64 1 (*.f64 (exp.f64 x) -2))) (/.f64 1/2 (exp.f64 x))) |
(*.f64 (+.f64 (*.f64 (exp.f64 x) 2) -1) (/.f64 -1 (exp.f64 x))) |
(*.f64 8 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (*.f64 2 (*.f64 (exp.f64 x) 4)))) |
(*.f64 1/4 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 4)) |
(*.f64 1/4 (*.f64 (/.f64 4 (exp.f64 x)) (+.f64 1 (*.f64 (exp.f64 x) -2)))) |
(*.f64 (-.f64 1/2 (exp.f64 x)) (/.f64 2 (exp.f64 x))) |
(*.f64 (-.f64 (/.f64 1/4 (exp.f64 x)) 1/2) 4) |
(*.f64 (+.f64 1/4 (/.f64 (exp.f64 x) -2)) (/.f64 4 (exp.f64 x))) |
(*.f64 (+.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (+.f64 1 (*.f64 (exp.f64 x) -2))) (/.f64 1/2 (exp.f64 x))) |
(*.f64 (+.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (+.f64 1 (*.f64 (exp.f64 x) -2))) (*.f64 (exp.f64 (neg.f64 x)) 1/2)) |
(*.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 4)) 1/8) |
(*.f64 (/.f64 8 (exp.f64 x)) (/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) 8)) |
(*.f64 (/.f64 1/4 (exp.f64 x)) (*.f64 4 (+.f64 1 (*.f64 (exp.f64 x) -2)))) |
(*.f64 (exp.f64 (/.f64 x -2)) (*.f64 (exp.f64 (/.f64 x -2)) (+.f64 1 (*.f64 (exp.f64 x) -2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 (/.f64 x 2))) (/.f64 1 (exp.f64 (/.f64 x 2)))) |
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1) |
(/.f64 (-.f64 2 (exp.f64 (neg.f64 x))) -1) |
(/.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) -2)) 2) |
(/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 4) 4) |
(/.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) 1/2) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(/.f64 (*.f64 2 (+.f64 1 (*.f64 (exp.f64 x) -2))) (*.f64 (exp.f64 x) 2)) |
(/.f64 (-.f64 (/.f64 1/4 (exp.f64 x)) 1/2) 1/4) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 4)) 8) |
(/.f64 (*.f64 4 (+.f64 1 (*.f64 (exp.f64 x) -2))) (*.f64 (exp.f64 x) 4)) |
(/.f64 (*.f64 (/.f64 4 (exp.f64 x)) (+.f64 1 (*.f64 (exp.f64 x) -2))) 4) |
(/.f64 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) 1/2) (*.f64 (exp.f64 x) 2)) |
(/.f64 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 (/.f64 x 2))) (exp.f64 (/.f64 x 2))) |
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1) |
(neg.f64 (-.f64 2 (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(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 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6)))) |
(+.f64 (pow.f64 x 2) (+.f64 (*.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))))) |
(+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6)))) |
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 1/360 (pow.f64 x 6)))) |
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.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 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.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 -2 (exp.f64 x))) |
(-.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 -2 (exp.f64 x))) |
(-.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 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(+.f64 (neg.f64 x) -1) |
(-.f64 -1 x) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (+.f64 (neg.f64 x) (*.f64 (pow.f64 x 2) 1/2)) -1) |
(+.f64 -1 (+.f64 (neg.f64 x) (*.f64 (pow.f64 x 2) 1/2))) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(+.f64 (+.f64 (neg.f64 x) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (*.f64 -1/6 (pow.f64 x 3)))) -1) |
(+.f64 -1 (+.f64 (neg.f64 x) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (*.f64 -1/6 (pow.f64 x 3))))) |
(-.f64 (exp.f64 (*.f64 -1 x)) 2) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(-.f64 (exp.f64 (*.f64 -1 x)) 2) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(-.f64 (exp.f64 (*.f64 -1 x)) 2) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(-.f64 (exp.f64 (*.f64 -1 x)) 2) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x)))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (exp.f64 x) (+.f64 (+.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x)))) (neg.f64 (exp.f64 x)))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (neg.f64 (exp.f64 x)))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.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 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (exp.f64 x)) (+.f64 2 (-.f64 2 (exp.f64 (neg.f64 x)))))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (neg.f64 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (+.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (exp.f64 x)) (-.f64 2 (exp.f64 (neg.f64 x))))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) 0) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 0 (-.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 0 (+.f64 (+.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x)))) (*.f64 (exp.f64 x) -2))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 0 (+.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) -2))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 0 (+.f64 2 (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x)))) |
(+.f64 -2 (neg.f64 (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x)))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (-.f64 1 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (+.f64 (neg.f64 (exp.f64 x)) 1)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (neg.f64 (+.f64 (exp.f64 x) -1))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (*.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x))))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (*.f64 (exp.f64 x) 2) (+.f64 (+.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x)))) 0)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) -2)) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) -2)) (+.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (exp.f64 x)) 0)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 -2 (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 x) -1) (-.f64 1 (exp.f64 (neg.f64 x)))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (/.f64 (exp.f64 x) 2) (+.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 x) -2))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (/.f64 (exp.f64 x) 2) (+.f64 (/.f64 (exp.f64 x) -2) (-.f64 2 (exp.f64 (neg.f64 x))))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (/.f64 (exp.f64 x) 2) (neg.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (/.f64 (exp.f64 x) 2)))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (-.f64 0 (-.f64 (exp.f64 x) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) -2))) 2)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) (-.f64 (-.f64 1 (/.f64 1/2 (exp.f64 x))) (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) (+.f64 (-.f64 1 (/.f64 1/2 (exp.f64 x))) (neg.f64 (exp.f64 x)))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) (neg.f64 (+.f64 (exp.f64 x) (+.f64 -1 (/.f64 1/2 (exp.f64 x)))))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) (/.f64 (-.f64 (-.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (exp.f64 x)) (exp.f64 x)) 2)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) -1) (/.f64 (-.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (exp.f64 x)) 2)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (+.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) -1) (/.f64 (*.f64 -2 (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))) 4)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
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(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 (exp.f64 x) -2) (exp.f64 x))) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 0) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(+.f64 0 (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(+.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) -1)) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) -1) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(+.f64 -2 (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(+.f64 -1/2 (/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (+.f64 (exp.f64 (neg.f64 x)) -1)) 2)) |
(+.f64 -1/2 (/.f64 (+.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) -2))) 2)) |
(+.f64 -1/2 (+.f64 -1/2 (/.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) 2))) |
(+.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) (+.f64 -1 (/.f64 1/2 (exp.f64 x)))) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(+.f64 (-.f64 (/.f64 1/4 (exp.f64 x)) 1/2) (/.f64 (*.f64 3 (+.f64 -1 (/.f64 1/2 (exp.f64 x)))) 2)) |
(+.f64 (-.f64 (/.f64 1/4 (exp.f64 x)) 1/2) (/.f64 (*.f64 3 (+.f64 (exp.f64 (neg.f64 x)) -2)) 4)) |
(+.f64 (+.f64 (/.f64 1/4 (exp.f64 x)) -1/2) (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 3/2) 2)) |
(+.f64 (-.f64 (/.f64 1/4 (exp.f64 x)) 1/2) (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 3) 4)) |
(+.f64 (-.f64 (/.f64 1/4 (exp.f64 x)) 1/2) (/.f64 (*.f64 3 (+.f64 -1 (/.f64 1/2 (exp.f64 x)))) 2)) |
(+.f64 (-.f64 (/.f64 1/4 (exp.f64 x)) 1/2) (/.f64 (*.f64 3 (+.f64 (exp.f64 (neg.f64 x)) -2)) 4)) |
(+.f64 (+.f64 (/.f64 1/4 (exp.f64 x)) -1/2) (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 3/2) 2)) |
(+.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 3) 2)) |
(+.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 -1/2 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) 2) 3/2))) |
(+.f64 (-.f64 (/.f64 1/2 (exp.f64 x)) 3/2) (+.f64 (/.f64 1/2 (exp.f64 x)) -1/2)) |
(+.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 -1/2 (-.f64 (/.f64 1/2 (exp.f64 x)) 3/2))) |
(+.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 3) 2) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))) |
(+.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 -1/2 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) 2) 3/2))) |
(+.f64 (-.f64 (/.f64 1/2 (exp.f64 x)) 3/2) (+.f64 (/.f64 1/2 (exp.f64 x)) -1/2)) |
(+.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 -1/2 (-.f64 (/.f64 1/2 (exp.f64 x)) 3/2))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 x)) (exp.f64 x)) (/.f64 (neg.f64 (exp.f64 x)) (exp.f64 x))) |
(/.f64 (+.f64 (-.f64 1 (exp.f64 x)) (neg.f64 (exp.f64 x))) (exp.f64 x)) |
(/.f64 (-.f64 1 (+.f64 (exp.f64 x) (exp.f64 x))) (exp.f64 x)) |
(/.f64 (-.f64 1 (*.f64 2 (exp.f64 x))) (exp.f64 x)) |
(+.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 3) 4) (/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) -2))) 4)) |
(/.f64 (+.f64 (-.f64 (exp.f64 (neg.f64 x)) 3) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) -2)))) 4) |
(+.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) (+.f64 (+.f64 (/.f64 1/4 (exp.f64 x)) -1/4) (-.f64 (/.f64 1/4 (exp.f64 x)) 3/4))) |
(+.f64 (-.f64 -1 (/.f64 -1/2 (exp.f64 x))) (+.f64 (-.f64 (/.f64 1/4 (exp.f64 x)) 3/4) (+.f64 (/.f64 1/4 (exp.f64 x)) -1/4))) |
(+.f64 (/.f64 0 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (*.f64 (exp.f64 x) -2))) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(*.f64 2 (+.f64 -1 (/.f64 1/2 (exp.f64 x)))) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(*.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1/2)) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(*.f64 2 (*.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 1 (*.f64 (exp.f64 x) -2)))) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(*.f64 2 (*.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (/.f64 1/2 (exp.f64 x)))) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(*.f64 1 (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(*.f64 (-.f64 2 (exp.f64 (neg.f64 x))) -1) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(*.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) -2)) 1/2) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(*.f64 (/.f64 2 (exp.f64 x)) (-.f64 1/2 (exp.f64 x))) |
(*.f64 2 (/.f64 (-.f64 1/2 (exp.f64 x)) (exp.f64 x))) |
(*.f64 (/.f64 2 (exp.f64 x)) (*.f64 1/2 (+.f64 1 (*.f64 (exp.f64 x) -2)))) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(*.f64 1/2 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) -2))) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(*.f64 4 (-.f64 (/.f64 1/4 (exp.f64 x)) 1/2)) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(*.f64 4 (*.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (/.f64 1/4 (exp.f64 x)))) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(*.f64 (/.f64 4 (exp.f64 x)) (+.f64 1/4 (/.f64 (exp.f64 x) -2))) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 4) 1/4) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(*.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) 2) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(*.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 2 (+.f64 1 (*.f64 (exp.f64 x) -2)))) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(*.f64 (/.f64 1/2 (exp.f64 x)) (/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) 1/2)) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(*.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 (neg.f64 x))) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(*.f64 (*.f64 2 (+.f64 1 (*.f64 (exp.f64 x) -2))) (/.f64 1/2 (exp.f64 x))) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(*.f64 (+.f64 (*.f64 (exp.f64 x) 2) -1) (/.f64 -1 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(*.f64 8 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (*.f64 2 (*.f64 (exp.f64 x) 4)))) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(*.f64 1/4 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 4)) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(*.f64 1/4 (*.f64 (/.f64 4 (exp.f64 x)) (+.f64 1 (*.f64 (exp.f64 x) -2)))) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(*.f64 (-.f64 1/2 (exp.f64 x)) (/.f64 2 (exp.f64 x))) |
(*.f64 2 (/.f64 (-.f64 1/2 (exp.f64 x)) (exp.f64 x))) |
(*.f64 (-.f64 (/.f64 1/4 (exp.f64 x)) 1/2) 4) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(*.f64 (+.f64 1/4 (/.f64 (exp.f64 x) -2)) (/.f64 4 (exp.f64 x))) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(*.f64 (+.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (+.f64 1 (*.f64 (exp.f64 x) -2))) (/.f64 1/2 (exp.f64 x))) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(*.f64 (+.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (+.f64 1 (*.f64 (exp.f64 x) -2))) (*.f64 (exp.f64 (neg.f64 x)) 1/2)) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(*.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 4)) 1/8) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(*.f64 (/.f64 8 (exp.f64 x)) (/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) 8)) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(*.f64 (/.f64 1/4 (exp.f64 x)) (*.f64 4 (+.f64 1 (*.f64 (exp.f64 x) -2)))) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(*.f64 (exp.f64 (/.f64 x -2)) (*.f64 (exp.f64 (/.f64 x -2)) (+.f64 1 (*.f64 (exp.f64 x) -2)))) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 (/.f64 x 2))) (/.f64 1 (exp.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 (/.f64 x 2))) (exp.f64 (neg.f64 (/.f64 x 2)))) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 (+.f64 (/.f64 x 2) (/.f64 x 2)))) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 (/.f64 (+.f64 x x) 2))) |
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(/.f64 (-.f64 2 (exp.f64 (neg.f64 x))) -1) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(/.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) -2)) 2) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 4) 4) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(/.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) 1/2) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(/.f64 (*.f64 2 (+.f64 1 (*.f64 (exp.f64 x) -2))) (*.f64 (exp.f64 x) 2)) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(/.f64 (-.f64 (/.f64 1/4 (exp.f64 x)) 1/2) 1/4) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 4)) 8) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(/.f64 (*.f64 4 (+.f64 1 (*.f64 (exp.f64 x) -2))) (*.f64 (exp.f64 x) 4)) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(/.f64 (*.f64 (/.f64 4 (exp.f64 x)) (+.f64 1 (*.f64 (exp.f64 x) -2))) 4) |
(/.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (/.f64 4 (exp.f64 x))) 4) |
(/.f64 (*.f64 (/.f64 4 (exp.f64 x)) (-.f64 (*.f64 (exp.f64 x) -4) -2)) 8) |
(/.f64 (*.f64 8 (/.f64 (+.f64 1/2 (neg.f64 (exp.f64 x))) (exp.f64 x))) 4) |
(/.f64 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) 1/2) (*.f64 (exp.f64 x) 2)) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 x)) |
(/.f64 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 (/.f64 x 2))) (exp.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 (/.f64 x 2))) (exp.f64 (neg.f64 (/.f64 x 2)))) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 (+.f64 (/.f64 x 2) (/.f64 x 2)))) |
(/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) (exp.f64 (/.f64 (+.f64 x x) 2))) |
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
(neg.f64 (-.f64 2 (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 (neg.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) -2) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (exp.f64 x) 2) |
| ✓ | 4.3b | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
Compiled 22 to 10 computations (54.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| 0.0ms | x | @ | 0 | (-.f64 (exp.f64 x) 2) |
| 0.0ms | x | @ | -inf | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| 0.0ms | x | @ | inf | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| 0.0ms | x | @ | -inf | (-.f64 (exp.f64 x) 2) |
| 1× | batch-egg-rewrite |
| 918× | rational_best-simplify-83 |
| 782× | rational_best-simplify-48 |
| 764× | rational_best-simplify-52 |
| 602× | rational_best-simplify-51 |
| 586× | rational_best-simplify-57 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 1 | 68 | 36 |
| 2 | 138 | 36 |
| 3 | 380 | 36 |
| 4 | 1341 | 36 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 x) 2) |
| Outputs |
|---|
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(exp.f64 x) -2) (exp.f64 (neg.f64 x)))) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 8 (exp.f64 x)) (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -2) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -2) 4)) (/.f64 8 (exp.f64 x))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 x) -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (exp.f64 x) -2) 2) (/.f64 (+.f64 (exp.f64 x) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (exp.f64 x) -2) 2) (neg.f64 (-.f64 1 (/.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/2 (/.f64 (exp.f64 x) 2)) (/.f64 (-.f64 (exp.f64 x) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (exp.f64 x) 3) 2) (+.f64 -1/2 (/.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (exp.f64 x) 4) 1/2) (/.f64 (*.f64 3 (/.f64 (+.f64 (exp.f64 x) -2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (exp.f64 x) 4) 1/2) (/.f64 (*.f64 (+.f64 (exp.f64 x) -2) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (-.f64 1 (exp.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (exp.f64 x) 3) 4) (/.f64 (+.f64 (+.f64 (exp.f64 x) -1) (*.f64 2 (+.f64 (exp.f64 x) -2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (exp.f64 x) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (exp.f64 x) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 x) -2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (exp.f64 x) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -2) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 2 (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (exp.f64 x) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (exp.f64 x) -2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 2 (exp.f64 x))))))) |
| 1× | egg-herbie |
| 1124× | rational_best-simplify-3 |
| 1118× | rational_best-simplify-51 |
| 1080× | rational_best-simplify-65 |
| 686× | rational_best-simplify-56 |
| 640× | rational_best-simplify-67 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 373 | 4409 |
| 1 | 959 | 4397 |
| 2 | 2648 | 4247 |
| 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) |
(-.f64 (exp.f64 x) (+.f64 2 (/.f64 -1 (exp.f64 x)))) |
(-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 x) (+.f64 (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) (+.f64 2 (-.f64 2 (exp.f64 x))))) |
(-.f64 (+.f64 (exp.f64 x) -2) (/.f64 -1 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 x) -2) (+.f64 (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 x)))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (/.f64 -1 (exp.f64 x)))) |
(-.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 0) |
(-.f64 0 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(-.f64 0 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (/.f64 -2 (exp.f64 x)))) |
(-.f64 0 (+.f64 (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) -2) -2))) |
(-.f64 0 (+.f64 2 (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x)))) |
(-.f64 (+.f64 (exp.f64 x) -1) (+.f64 (/.f64 -1 (exp.f64 x)) 1)) |
(-.f64 (+.f64 (exp.f64 x) -1) (+.f64 1 (/.f64 -1 (exp.f64 x)))) |
(-.f64 (+.f64 (exp.f64 x) -1) (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) -1))) |
(-.f64 -2 (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x))) |
(-.f64 (/.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) |
(-.f64 (/.f64 2 (exp.f64 x)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 0)) |
(-.f64 (*.f64 2 (+.f64 (exp.f64 x) -2)) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) |
(-.f64 (*.f64 2 (+.f64 (exp.f64 x) -2)) (+.f64 (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 0)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (-.f64 1 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(-.f64 (/.f64 (exp.f64 x) 2) (-.f64 (/.f64 -1 (exp.f64 x)) (-.f64 (/.f64 (exp.f64 x) 2) 2))) |
(-.f64 (/.f64 (exp.f64 x) 2) (+.f64 (+.f64 2 (/.f64 -1 (exp.f64 x))) (/.f64 (exp.f64 x) -2))) |
(-.f64 (/.f64 (exp.f64 x) 2) (+.f64 (-.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (+.f64 1 (/.f64 -1/2 (exp.f64 x))))) |
(-.f64 (/.f64 (exp.f64 x) 2) (+.f64 (-.f64 1 (+.f64 (/.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))) 1)) |
(-.f64 (/.f64 (exp.f64 x) 2) (+.f64 (-.f64 (/.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 2)) |
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (+.f64 (+.f64 2 (/.f64 -1 (exp.f64 x))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 2)) |
(-.f64 (/.f64 (exp.f64 x) 2) (-.f64 (+.f64 2 (/.f64 -1 (exp.f64 x))) (/.f64 (exp.f64 x) 2))) |
(-.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 (-.f64 2 (exp.f64 x)) (/.f64 -1/2 (exp.f64 x)))) |
(-.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 (/.f64 -1/2 (exp.f64 x)) (-.f64 2 (exp.f64 x)))) |
(-.f64 (/.f64 1/2 (exp.f64 x)) (neg.f64 (+.f64 (+.f64 (exp.f64 x) -2) (/.f64 1/2 (exp.f64 x))))) |
(-.f64 (/.f64 1/2 (exp.f64 x)) (/.f64 (-.f64 0 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (+.f64 (exp.f64 x) -2)))) 2)) |
(-.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 2) (-.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) |
(-.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 2) (/.f64 (*.f64 -2 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) 4)) |
(-.f64 (/.f64 (+.f64 (exp.f64 x) -2) 2) (-.f64 1 (+.f64 (/.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))))) |
(-.f64 (/.f64 (+.f64 (exp.f64 x) -2) 2) (+.f64 (-.f64 1 (/.f64 (exp.f64 x) 2)) (/.f64 -1 (exp.f64 x)))) |
(-.f64 (/.f64 (+.f64 (exp.f64 x) -2) 2) (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (exp.f64 x) -2) 2)))) |
(-.f64 (/.f64 (+.f64 (exp.f64 x) -2) 2) (/.f64 (-.f64 0 (+.f64 (+.f64 (exp.f64 x) -2) (/.f64 2 (exp.f64 x)))) 2)) |
(-.f64 (*.f64 (+.f64 (exp.f64 x) -1) 2) (+.f64 (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 2)) |
(-.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) (-.f64 (-.f64 1 (exp.f64 x)) (/.f64 1/2 (exp.f64 x)))) |
(-.f64 (-.f64 -2 (*.f64 -2 (exp.f64 x))) (+.f64 (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 2)) |
(-.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (+.f64 (-.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) 1)) |
(-.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (/.f64 (+.f64 2 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 2)) |
(-.f64 (*.f64 3 (/.f64 (+.f64 (exp.f64 x) -2) 2)) (+.f64 (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) (-.f64 1 (/.f64 (exp.f64 x) 2)))) |
(-.f64 (+.f64 (/.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) (+.f64 2 (/.f64 (exp.f64 x) -2))) |
(-.f64 (+.f64 (/.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) (-.f64 2 (/.f64 (exp.f64 x) 2))) |
(-.f64 (/.f64 3/2 (exp.f64 x)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (/.f64 -1/2 (exp.f64 x)))) |
(-.f64 (-.f64 (/.f64 (exp.f64 x) 2) 2) (-.f64 (/.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (exp.f64 x) -2) 2)) (-.f64 1 (/.f64 (exp.f64 x) 2))) |
(-.f64 (+.f64 (+.f64 (exp.f64 x) -2) (/.f64 1/2 (exp.f64 x))) (/.f64 -1/2 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -2) 2)) (+.f64 (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) (-.f64 2 (/.f64 (+.f64 (exp.f64 x) -2) 2)))) |
(-.f64 (+.f64 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (+.f64 2 (/.f64 -1/2 (exp.f64 x)))) |
(-.f64 (-.f64 (/.f64 (exp.f64 x) 2) (+.f64 2 (/.f64 -1 (exp.f64 x)))) (/.f64 (exp.f64 x) -2)) |
(-.f64 (-.f64 (+.f64 (exp.f64 x) -1) (/.f64 -1 (exp.f64 x))) 1) |
(-.f64 (-.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (/.f64 -1 (exp.f64 x))) |
(-.f64 (-.f64 0 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (/.f64 -2 (exp.f64 x))) |
(-.f64 (-.f64 (/.f64 3/2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (/.f64 -1/2 (exp.f64 x))) |
(-.f64 (-.f64 (exp.f64 x) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) (+.f64 2 (-.f64 2 (exp.f64 x)))) |
(-.f64 (-.f64 (+.f64 (exp.f64 x) -2) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) (-.f64 2 (exp.f64 x))) |
(-.f64 (-.f64 0 (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) -2) -2)) |
(-.f64 (-.f64 (*.f64 (+.f64 (exp.f64 x) -1) 2) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) 2) |
(-.f64 (-.f64 (-.f64 -2 (*.f64 -2 (exp.f64 x))) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) 2) |
(-.f64 (-.f64 (*.f64 3 (/.f64 (+.f64 (exp.f64 x) -2) 2)) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) (-.f64 1 (/.f64 (exp.f64 x) 2))) |
(-.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -2) 2)) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) (-.f64 2 (/.f64 (+.f64 (exp.f64 x) -2) 2))) |
(-.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (neg.f64 (exp.f64 x))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 2) (/.f64 (exp.f64 x) -2)) |
(-.f64 (-.f64 (/.f64 (exp.f64 x) 2) (-.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (+.f64 1 (/.f64 -1/2 (exp.f64 x)))) |
(-.f64 (-.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (-.f64 1 (/.f64 (exp.f64 x) 2))) |
(-.f64 (-.f64 (/.f64 (+.f64 (exp.f64 x) -2) 2) (-.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (/.f64 -1/2 (exp.f64 x))) |
(-.f64 (-.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (-.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) 1) |
(-.f64 (-.f64 (/.f64 (exp.f64 x) 2) (-.f64 1 (+.f64 (/.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))))) 1) |
(-.f64 (-.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (-.f64 1 (/.f64 1/2 (exp.f64 x)))) |
(-.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 2)) 2) (/.f64 (+.f64 (/.f64 -3/2 (exp.f64 x)) (-.f64 1 (/.f64 (exp.f64 x) 2))) 2)) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 3) 2) 2) (/.f64 (-.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) 2)) |
(-.f64 (/.f64 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 3) 4) (/.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4)) |
(-.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 2)) 2) (/.f64 (+.f64 (*.f64 -3 (/.f64 (+.f64 (exp.f64 x) -2) 2)) (/.f64 -1/2 (exp.f64 x))) 2)) |
(-.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) 2) (+.f64 1 (/.f64 -1/2 (exp.f64 x)))) |
(-.f64 (/.f64 (-.f64 (+.f64 (+.f64 (exp.f64 x) -2) (/.f64 2 (exp.f64 x))) (neg.f64 (exp.f64 x))) 2) 1) |
(-.f64 (/.f64 (+.f64 (exp.f64 x) (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 2)) 2) (/.f64 (+.f64 (+.f64 2 (/.f64 -1 (exp.f64 x))) (-.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) 2)) |
(-.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 2)) 2) (/.f64 (-.f64 2 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 2)) 2)) |
(-.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(-.f64 (-.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) -2)) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(-.f64 (+.f64 (/.f64 1/4 (exp.f64 x)) (/.f64 1/2 (exp.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (/.f64 1/4 (exp.f64 x)))) |
(-.f64 (+.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4) (/.f64 1/2 (exp.f64 x))) (-.f64 (-.f64 1 (/.f64 (exp.f64 x) 2)) (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4))) |
(-.f64 (+.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4) (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 2)) (-.f64 0 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4))) |
(-.f64 (+.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4) (/.f64 (+.f64 (exp.f64 x) -2) 2)) (-.f64 (/.f64 -1/2 (exp.f64 x)) (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4))) |
(-.f64 (+.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 (exp.f64 x) -1)) (-.f64 1 (/.f64 1/2 (exp.f64 x)))) |
(-.f64 (+.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4) (/.f64 (exp.f64 x) 2)) (-.f64 (+.f64 1 (/.f64 -1/2 (exp.f64 x))) (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4))) |
(-.f64 (+.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (-.f64 1 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4))) |
(-.f64 (+.f64 (-.f64 (/.f64 (exp.f64 x) 4) 1/2) (/.f64 (+.f64 (exp.f64 x) -2) 2)) (-.f64 (/.f64 -1 (exp.f64 x)) (-.f64 (/.f64 (exp.f64 x) 4) 1/2))) |
(*.f64 2 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 1/2)) |
(*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 1) |
(*.f64 1 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) |
(*.f64 1/2 (*.f64 2 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))))) |
(*.f64 (*.f64 2 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) 1/2) |
(*.f64 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4) 1/4) |
(*.f64 1/4 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4)) |
(*.f64 (*.f64 (*.f64 2 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) 4) 1/8) |
(/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 1) |
(/.f64 (*.f64 2 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) 2) |
(/.f64 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4) 4) |
(/.f64 (*.f64 (*.f64 2 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) 4) 8) |
(/.f64 (+.f64 (/.f64 8 (exp.f64 x)) (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -2) 4))) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -2) 4)) (/.f64 8 (exp.f64 x))) 8) |
(pow.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 1) |
(neg.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(+.f64 (exp.f64 x) -2) |
(+.f64 (+.f64 (exp.f64 x) -2) 0) |
(+.f64 0 (+.f64 (exp.f64 x) -2)) |
(+.f64 -1 (+.f64 (exp.f64 x) -1)) |
(+.f64 -1 (neg.f64 (-.f64 1 (exp.f64 x)))) |
(+.f64 (+.f64 (exp.f64 x) -1) -1) |
(+.f64 -2 (exp.f64 x)) |
(+.f64 -1/2 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) -1)) 2)) |
(+.f64 (/.f64 (+.f64 (exp.f64 x) -2) 2) (/.f64 (+.f64 (exp.f64 x) -2) 2)) |
(+.f64 (/.f64 (+.f64 (exp.f64 x) -2) 2) (neg.f64 (-.f64 1 (/.f64 (exp.f64 x) 2)))) |
(+.f64 (+.f64 -1/2 (/.f64 (exp.f64 x) 2)) (/.f64 (-.f64 (exp.f64 x) 3) 2)) |
(+.f64 (/.f64 (-.f64 (exp.f64 x) 3) 2) (+.f64 -1/2 (/.f64 (exp.f64 x) 2))) |
(+.f64 (-.f64 (/.f64 (exp.f64 x) 4) 1/2) (/.f64 (*.f64 3 (/.f64 (+.f64 (exp.f64 x) -2) 2)) 2)) |
(+.f64 (-.f64 (/.f64 (exp.f64 x) 4) 1/2) (/.f64 (*.f64 (+.f64 (exp.f64 x) -2) 3) 4)) |
(+.f64 (-.f64 0 (-.f64 1 (exp.f64 x))) -1) |
(+.f64 (/.f64 (-.f64 (exp.f64 x) 3) 4) (/.f64 (+.f64 (+.f64 (exp.f64 x) -1) (*.f64 2 (+.f64 (exp.f64 x) -2))) 4)) |
(*.f64 2 (*.f64 (+.f64 (exp.f64 x) -2) 1/2)) |
(*.f64 (+.f64 (exp.f64 x) -2) 1) |
(*.f64 1 (+.f64 (exp.f64 x) -2)) |
(*.f64 (-.f64 2 (exp.f64 x)) -1) |
(*.f64 (*.f64 2 (+.f64 (exp.f64 x) -2)) 1/2) |
(*.f64 1/2 (*.f64 2 (+.f64 (exp.f64 x) -2))) |
(*.f64 (*.f64 (+.f64 (exp.f64 x) -2) 4) 1/4) |
(*.f64 1/4 (*.f64 (+.f64 (exp.f64 x) -2) 4)) |
(*.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -2) 4)) 1/8) |
(/.f64 (+.f64 (exp.f64 x) -2) 1) |
(/.f64 (-.f64 2 (exp.f64 x)) -1) |
(/.f64 (*.f64 2 (+.f64 (exp.f64 x) -2)) 2) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) -2) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -2) 4)) 8) |
(pow.f64 (+.f64 (exp.f64 x) -2) 1) |
(neg.f64 (-.f64 2 (exp.f64 x))) |
| Outputs |
|---|
(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 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6)))) |
(+.f64 (pow.f64 x 2) (+.f64 (*.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))))) |
(+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6)))) |
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 1/360 (pow.f64 x 6)))) |
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.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 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.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 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.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 (+.f64 (exp.f64 (neg.f64 x)) (exp.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 (+.f64 (exp.f64 (neg.f64 x)) (exp.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 (+.f64 (exp.f64 (neg.f64 x)) (exp.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 (+.f64 (exp.f64 (neg.f64 x)) (exp.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 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)) -1) |
(+.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))) |
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) 1) |
(+.f64 (+.f64 x (+.f64 (*.f64 (pow.f64 x 2) 1/2) (*.f64 1/6 (pow.f64 x 3)))) -1) |
(+.f64 -1 (+.f64 x (+.f64 (*.f64 (pow.f64 x 2) 1/2) (*.f64 1/6 (pow.f64 x 3))))) |
(-.f64 (exp.f64 x) (+.f64 2 (/.f64 -1 (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 x) (-.f64 2 (exp.f64 (neg.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 x) (+.f64 (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) (+.f64 2 (-.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 (+.f64 (exp.f64 x) -2) (/.f64 -1 (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 (+.f64 (exp.f64 x) -2) (+.f64 (-.f64 (+.f64 (exp.f64 x) -2) (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 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 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (/.f64 -1 (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 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 0) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 0 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.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 0 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.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 0 (+.f64 (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) -2) -2))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 0 (+.f64 2 (-.f64 (/.f64 -1 (exp.f64 x)) (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 (+.f64 (exp.f64 x) -1) (+.f64 (/.f64 -1 (exp.f64 x)) 1)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (+.f64 (exp.f64 x) -1) (+.f64 1 (/.f64 -1 (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 (+.f64 (exp.f64 x) -1) (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) -1))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 -2 (-.f64 (/.f64 -1 (exp.f64 x)) (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 (/.f64 2 (exp.f64 x)) (+.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 (/.f64 2 (exp.f64 x)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 0)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (*.f64 2 (+.f64 (exp.f64 x) -2)) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.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 (*.f64 2 (+.f64 (exp.f64 x) -2)) (+.f64 (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 0)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (-.f64 1 (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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (/.f64 (exp.f64 x) 2) (-.f64 (/.f64 -1 (exp.f64 x)) (-.f64 (/.f64 (exp.f64 x) 2) 2))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (/.f64 (exp.f64 x) 2) (+.f64 (+.f64 2 (/.f64 -1 (exp.f64 x))) (/.f64 (exp.f64 x) -2))) |
(-.f64 (+.f64 (-.f64 (/.f64 (exp.f64 x) 2) (/.f64 -1 (exp.f64 x))) -2) (/.f64 (exp.f64 x) -2)) |
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 -2 (/.f64 (exp.f64 x) -2)) 2)) |
(-.f64 (/.f64 (exp.f64 x) 2) (+.f64 (-.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (+.f64 1 (/.f64 -1/2 (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 (/.f64 (exp.f64 x) 2) (+.f64 (-.f64 1 (+.f64 (/.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))) 1)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (/.f64 (exp.f64 x) 2) (+.f64 (-.f64 (/.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 2)) |
(+.f64 (-.f64 (/.f64 (exp.f64 x) 2) (-.f64 (/.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) -2) |
(+.f64 -2 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (/.f64 (exp.f64 x) -2) (/.f64 (exp.f64 x) 2)))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (*.f64 -2 (/.f64 (exp.f64 x) -2)))) |
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(/.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 2)) (+.f64 2 (+.f64 (/.f64 -1 (exp.f64 x)) (-.f64 1 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))) 2) |
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(-.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 2)) 2) (/.f64 (-.f64 2 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 2)) 2)) |
(/.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 2)) (-.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 2))) 2) |
(-.f64 (+.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 4)) (-.f64 1 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 4))) |
(-.f64 (+.f64 -1/2 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4)) (-.f64 (/.f64 -1/2 (exp.f64 x)) (+.f64 (/.f64 (*.f64 (+.f64 (exp.f64 x) -2) 3/2) 2) (/.f64 1/4 (exp.f64 x))))) |
(-.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.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 (-.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) -2)) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.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 (+.f64 (/.f64 1/4 (exp.f64 x)) (/.f64 1/2 (exp.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (/.f64 1/4 (exp.f64 x)))) |
(-.f64 (/.f64 1/4 (exp.f64 x)) (-.f64 (-.f64 2 (exp.f64 x)) (/.f64 3/4 (exp.f64 x)))) |
(-.f64 (exp.f64 x) (-.f64 (-.f64 2 (/.f64 1/4 (exp.f64 x))) (/.f64 3/4 (exp.f64 x)))) |
(-.f64 (+.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4) (/.f64 1/2 (exp.f64 x))) (-.f64 (-.f64 1 (/.f64 (exp.f64 x) 2)) (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4))) |
(/.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 2)) (-.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 2))) 2) |
(-.f64 (+.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 4)) (-.f64 1 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 4))) |
(-.f64 (+.f64 -1/2 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4)) (-.f64 (/.f64 -1/2 (exp.f64 x)) (+.f64 (/.f64 (*.f64 (+.f64 (exp.f64 x) -2) 3/2) 2) (/.f64 1/4 (exp.f64 x))))) |
(-.f64 (+.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4) (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 2)) (-.f64 0 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (+.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4) (/.f64 (+.f64 (exp.f64 x) -2) 2)) (-.f64 (/.f64 -1/2 (exp.f64 x)) (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4))) |
(/.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 2)) (-.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 2))) 2) |
(-.f64 (+.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 4)) (-.f64 1 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 4))) |
(-.f64 (+.f64 -1/2 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4)) (-.f64 (/.f64 -1/2 (exp.f64 x)) (+.f64 (/.f64 (*.f64 (+.f64 (exp.f64 x) -2) 3/2) 2) (/.f64 1/4 (exp.f64 x))))) |
(-.f64 (+.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 (exp.f64 x) -1)) (-.f64 1 (/.f64 1/2 (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 (+.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4) (/.f64 (exp.f64 x) 2)) (-.f64 (+.f64 1 (/.f64 -1/2 (exp.f64 x))) (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4))) |
(-.f64 (+.f64 (/.f64 (exp.f64 x) 2) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 4)) (-.f64 (+.f64 1 (/.f64 -1/2 (exp.f64 x))) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 4))) |
(-.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 4) (-.f64 (+.f64 1 (/.f64 -1/2 (exp.f64 x))) (+.f64 (/.f64 (exp.f64 x) 2) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 4)))) |
(-.f64 (+.f64 (/.f64 (exp.f64 x) 2) (+.f64 -1/2 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4))) (-.f64 (+.f64 1 (/.f64 -1/2 (exp.f64 x))) (+.f64 -1/2 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4)))) |
(-.f64 (+.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (-.f64 1 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4))) |
(/.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 2)) (-.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 2))) 2) |
(-.f64 (+.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 4)) (-.f64 1 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 4))) |
(-.f64 (+.f64 -1/2 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4)) (-.f64 (/.f64 -1/2 (exp.f64 x)) (+.f64 (/.f64 (*.f64 (+.f64 (exp.f64 x) -2) 3/2) 2) (/.f64 1/4 (exp.f64 x))))) |
(-.f64 (+.f64 (-.f64 (/.f64 (exp.f64 x) 4) 1/2) (/.f64 (+.f64 (exp.f64 x) -2) 2)) (-.f64 (/.f64 -1 (exp.f64 x)) (-.f64 (/.f64 (exp.f64 x) 4) 1/2))) |
(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 x) 2) -1) (-.f64 (/.f64 (exp.f64 x) 4) 1/2)) (-.f64 (-.f64 1/2 (/.f64 (exp.f64 x) 4)) (exp.f64 (neg.f64 x)))) |
(-.f64 (+.f64 (-.f64 -1 (/.f64 (exp.f64 x) -2)) (-.f64 (/.f64 (exp.f64 x) 4) 1/2)) (-.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 x) 4)))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 (-.f64 1/2 (/.f64 (exp.f64 x) 4)) (/.f64 (*.f64 (+.f64 (exp.f64 x) -2) 3/2) 2))) |
(*.f64 2 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 1/2)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 1) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(*.f64 1 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.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 1/2 (*.f64 2 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.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 (*.f64 2 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) 1/2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(*.f64 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4) 1/4) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(*.f64 1/4 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(*.f64 (*.f64 (*.f64 2 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) 4) 1/8) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 1) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(/.f64 (*.f64 2 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(/.f64 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4) 4) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(/.f64 (*.f64 (*.f64 2 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) 4) 8) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(/.f64 (+.f64 (/.f64 8 (exp.f64 x)) (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -2) 4))) 8) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -2) 4)) (/.f64 8 (exp.f64 x))) 8) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(pow.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 1) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(neg.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.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 x) -2) |
(+.f64 (+.f64 (exp.f64 x) -2) 0) |
(+.f64 (exp.f64 x) -2) |
(+.f64 0 (+.f64 (exp.f64 x) -2)) |
(+.f64 (exp.f64 x) -2) |
(+.f64 -1 (+.f64 (exp.f64 x) -1)) |
(+.f64 (exp.f64 x) -2) |
(+.f64 -1 (neg.f64 (-.f64 1 (exp.f64 x)))) |
(+.f64 (exp.f64 x) -2) |
(+.f64 (+.f64 (exp.f64 x) -1) -1) |
(+.f64 (exp.f64 x) -2) |
(+.f64 -2 (exp.f64 x)) |
(+.f64 (exp.f64 x) -2) |
(+.f64 -1/2 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) -1)) 2)) |
(+.f64 -1/2 (/.f64 (+.f64 -1 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))) 2)) |
(+.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (+.f64 -2 (+.f64 (exp.f64 x) -1))) 2)) |
(+.f64 -1/2 (+.f64 (+.f64 (exp.f64 x) -1) -1/2)) |
(+.f64 (/.f64 (+.f64 (exp.f64 x) -2) 2) (/.f64 (+.f64 (exp.f64 x) -2) 2)) |
(+.f64 (exp.f64 x) -2) |
(+.f64 (/.f64 (+.f64 (exp.f64 x) -2) 2) (neg.f64 (-.f64 1 (/.f64 (exp.f64 x) 2)))) |
(+.f64 (exp.f64 x) -2) |
(+.f64 (+.f64 -1/2 (/.f64 (exp.f64 x) 2)) (/.f64 (-.f64 (exp.f64 x) 3) 2)) |
(+.f64 (/.f64 (exp.f64 x) 2) (+.f64 -1/2 (-.f64 (/.f64 (exp.f64 x) 2) 3/2))) |
(+.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 x) 3)) 2)) |
(+.f64 (/.f64 (-.f64 (exp.f64 x) 3) 2) (+.f64 -1/2 (/.f64 (exp.f64 x) 2))) |
(+.f64 (/.f64 (exp.f64 x) 2) (+.f64 -1/2 (-.f64 (/.f64 (exp.f64 x) 2) 3/2))) |
(+.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 x) 3)) 2)) |
(+.f64 (-.f64 (/.f64 (exp.f64 x) 4) 1/2) (/.f64 (*.f64 3 (/.f64 (+.f64 (exp.f64 x) -2) 2)) 2)) |
(+.f64 (exp.f64 x) -2) |
(+.f64 (-.f64 (/.f64 (exp.f64 x) 4) 1/2) (/.f64 (*.f64 (+.f64 (exp.f64 x) -2) 3) 4)) |
(+.f64 (exp.f64 x) -2) |
(+.f64 (-.f64 0 (-.f64 1 (exp.f64 x))) -1) |
(+.f64 (exp.f64 x) -2) |
(+.f64 (/.f64 (-.f64 (exp.f64 x) 3) 4) (/.f64 (+.f64 (+.f64 (exp.f64 x) -1) (*.f64 2 (+.f64 (exp.f64 x) -2))) 4)) |
(/.f64 (+.f64 (-.f64 (exp.f64 x) 3) (+.f64 (+.f64 (exp.f64 x) -1) (*.f64 2 (+.f64 (exp.f64 x) -2)))) 4) |
(*.f64 2 (*.f64 (+.f64 (exp.f64 x) -2) 1/2)) |
(+.f64 (exp.f64 x) -2) |
(*.f64 (+.f64 (exp.f64 x) -2) 1) |
(+.f64 (exp.f64 x) -2) |
(*.f64 1 (+.f64 (exp.f64 x) -2)) |
(+.f64 (exp.f64 x) -2) |
(*.f64 (-.f64 2 (exp.f64 x)) -1) |
(+.f64 (exp.f64 x) -2) |
(*.f64 (*.f64 2 (+.f64 (exp.f64 x) -2)) 1/2) |
(+.f64 (exp.f64 x) -2) |
(*.f64 1/2 (*.f64 2 (+.f64 (exp.f64 x) -2))) |
(+.f64 (exp.f64 x) -2) |
(*.f64 (*.f64 (+.f64 (exp.f64 x) -2) 4) 1/4) |
(+.f64 (exp.f64 x) -2) |
(*.f64 1/4 (*.f64 (+.f64 (exp.f64 x) -2) 4)) |
(+.f64 (exp.f64 x) -2) |
(*.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -2) 4)) 1/8) |
(+.f64 (exp.f64 x) -2) |
(/.f64 (+.f64 (exp.f64 x) -2) 1) |
(+.f64 (exp.f64 x) -2) |
(/.f64 (-.f64 2 (exp.f64 x)) -1) |
(+.f64 (exp.f64 x) -2) |
(/.f64 (*.f64 2 (+.f64 (exp.f64 x) -2)) 2) |
(+.f64 (exp.f64 x) -2) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) -2) 4) 4) |
(+.f64 (exp.f64 x) -2) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -2) 4)) 8) |
(+.f64 (exp.f64 x) -2) |
(pow.f64 (+.f64 (exp.f64 x) -2) 1) |
(+.f64 (exp.f64 x) -2) |
(neg.f64 (-.f64 2 (exp.f64 x))) |
(+.f64 (exp.f64 x) -2) |
Compiled 7902 to 4518 computations (42.8% saved)
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 448 | 7 | 455 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 448 | 9 | 457 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.1b | (pow.f64 x 2) |
| 29.4b | (-.f64 (-.f64 (exp.f64 x) 2) (/.f64 -1 (exp.f64 x))) | |
| ▶ | 29.5b | (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
| ▶ | 0.2b | (+.f64 (pow.f64 x 2) (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 1/360 (pow.f64 x 6)))) |
| 0.3b | (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) | |
| ▶ | 0.5b | (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
| ✓ | 29.5b | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| ✓ | 29.4b | (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) |
| ▶ | 31.0b | (+.f64 (exp.f64 x) -1) |
Compiled 170 to 134 computations (21.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 1/360 (pow.f64 x 6))) |
| ✓ | 0.0b | (*.f64 1/20160 (pow.f64 x 8)) |
| ✓ | 0.1b | (*.f64 1/360 (pow.f64 x 6)) |
| ✓ | 0.1b | (*.f64 1/12 (pow.f64 x 4)) |
Compiled 85 to 68 computations (20% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | x | @ | -inf | (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 1/360 (pow.f64 x 6))) |
| 1.0ms | x | @ | 0 | (*.f64 1/12 (pow.f64 x 4)) |
| 1.0ms | x | @ | 0 | (*.f64 1/360 (pow.f64 x 6)) |
| 1.0ms | x | @ | 0 | (*.f64 1/20160 (pow.f64 x 8)) |
| 1.0ms | x | @ | inf | (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 1/360 (pow.f64 x 6))) |
| 1× | batch-egg-rewrite |
| 1100× | rational_best-simplify-56 |
| 994× | rational_best-simplify-75 |
| 954× | rational_best-simplify-63 |
| 904× | rational_best-4 |
| 904× | rational_best-2 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 88 |
| 1 | 114 | 88 |
| 2 | 211 | 88 |
| 3 | 531 | 88 |
| 4 | 2179 | 88 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/360 (pow.f64 x 6)) |
(*.f64 1/20160 (pow.f64 x 8)) |
(+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 1/360 (pow.f64 x 6))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/12 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4) (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/12 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 x 4) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4) (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/12 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) -1/12) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) -1/6) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) 1/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/3)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 4) 1/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 (pow.f64 x 4) 1/3)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/3)) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 0 (*.f64 (pow.f64 x 4) 1/3)) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 4) -1/12)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/360 (pow.f64 x 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/360 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/360 (pow.f64 x 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 x 6) -1/360))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2) (/.f64 (*.f64 1/360 (pow.f64 x 6)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/360 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 6) -1/360) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 6) 1/180) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 6) 1/90) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 x 6) 1/180) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/360 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 6) -1/360)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/20160 (pow.f64 x 8)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/20160 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/20160 (pow.f64 x 8)) 2) (/.f64 (*.f64 1/20160 (pow.f64 x 8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/20160 (pow.f64 x 8)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 x 8) -1/20160))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/20160 (pow.f64 x 8)) 2) (/.f64 (*.f64 1/20160 (pow.f64 x 8)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/20160 (pow.f64 x 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 8) -1/20160) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 8) 1/10080) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 8) 1/5040) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 x 8) 1/5040)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 x 8) 1/10080)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 x 8) 2) 1/5040) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x 8) 1/5040)) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/20160 (pow.f64 x 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 8) -1/20160)))))) |
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(pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 (pow.f64 x 8) -1/20160)) (*.f64 (pow.f64 x 6) -1/360))))))) |
| 1× | egg-herbie |
| 1536× | rational_best-simplify-51 |
| 848× | rational_best-simplify-3 |
| 716× | rational_best-simplify-64 |
| 646× | rational_best-simplify-83 |
| 578× | rational_best-simplify-59 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 333 | 5980 |
| 1 | 855 | 5980 |
| 2 | 2659 | 5930 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/12 (pow.f64 x 4)) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) |
(*.f64 1/20160 (pow.f64 x 8)) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) |
(*.f64 1/20160 (pow.f64 x 8)) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0) |
(+.f64 0 (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4) (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4)) |
(-.f64 (*.f64 1/12 (pow.f64 x 4)) 0) |
(-.f64 0 (*.f64 (pow.f64 x 4) -1/12)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4) (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2)) |
(/.f64 (*.f64 1/12 (pow.f64 x 4)) 1) |
(/.f64 (*.f64 (pow.f64 x 4) -1/12) -1) |
(/.f64 (*.f64 (pow.f64 x 4) 1/6) 2) |
(/.f64 (*.f64 (pow.f64 x 4) -1/6) -2) |
(/.f64 (*.f64 (pow.f64 x 4) 1/3) 4) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/3)) -4) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 4) 1/3)) 8) |
(/.f64 (-.f64 0 (*.f64 (pow.f64 x 4) 1/3)) -4) |
(/.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/3)) -1) 4) |
(/.f64 (/.f64 (-.f64 0 (*.f64 (pow.f64 x 4) 1/3)) -1) 4) |
(pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1) |
(neg.f64 (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) 0) |
(+.f64 0 (*.f64 1/360 (pow.f64 x 6))) |
(+.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2)) |
(-.f64 (*.f64 1/360 (pow.f64 x 6)) 0) |
(-.f64 0 (*.f64 (pow.f64 x 6) -1/360)) |
(-.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2) (/.f64 (*.f64 1/360 (pow.f64 x 6)) -2)) |
(/.f64 (*.f64 1/360 (pow.f64 x 6)) 1) |
(/.f64 (*.f64 (pow.f64 x 6) -1/360) -1) |
(/.f64 (*.f64 (pow.f64 x 6) 1/180) 2) |
(/.f64 (*.f64 (pow.f64 x 6) 1/90) 4) |
(/.f64 (*.f64 (*.f64 (pow.f64 x 6) 1/180) 4) 8) |
(pow.f64 (*.f64 1/360 (pow.f64 x 6)) 1) |
(neg.f64 (*.f64 (pow.f64 x 6) -1/360)) |
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) 0) |
(+.f64 0 (*.f64 1/20160 (pow.f64 x 8))) |
(+.f64 (/.f64 (*.f64 1/20160 (pow.f64 x 8)) 2) (/.f64 (*.f64 1/20160 (pow.f64 x 8)) 2)) |
(-.f64 (*.f64 1/20160 (pow.f64 x 8)) 0) |
(-.f64 0 (*.f64 (pow.f64 x 8) -1/20160)) |
(-.f64 (/.f64 (*.f64 1/20160 (pow.f64 x 8)) 2) (/.f64 (*.f64 1/20160 (pow.f64 x 8)) -2)) |
(/.f64 (*.f64 1/20160 (pow.f64 x 8)) 1) |
(/.f64 (*.f64 (pow.f64 x 8) -1/20160) -1) |
(/.f64 (*.f64 (pow.f64 x 8) 1/10080) 2) |
(/.f64 (*.f64 (pow.f64 x 8) 1/5040) 4) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x 8) 1/5040)) -4) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x 8) 1/10080)) -2) |
(/.f64 (*.f64 (*.f64 (pow.f64 x 8) 2) 1/5040) 8) |
(/.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x 8) 1/5040)) -1) 4) |
(pow.f64 (*.f64 1/20160 (pow.f64 x 8)) 1) |
(neg.f64 (*.f64 (pow.f64 x 8) -1/20160)) |
(-.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x 6) -1/360) (*.f64 (pow.f64 x 8) -1/20160))) |
(-.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 (pow.f64 x 8) -1/20160))) |
(-.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 (pow.f64 x 6) -1/360) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 (pow.f64 x 8) -1/20160))))) |
(-.f64 (*.f64 1/20160 (pow.f64 x 8)) (-.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 1/360 (pow.f64 x 6)))) |
(-.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (+.f64 (*.f64 (pow.f64 x 8) -1/20160) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) -1/12))) (*.f64 (pow.f64 x 6) -1/360))) |
(-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 (pow.f64 x 6) -1/360)) |
(-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) 0) |
(-.f64 0 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 (pow.f64 x 8) -1/20160)) (*.f64 (pow.f64 x 6) -1/360))) |
(-.f64 0 (+.f64 (+.f64 (*.f64 (pow.f64 x 6) -1/360) (*.f64 (pow.f64 x 8) -1/20160)) (*.f64 (pow.f64 x 4) -1/12))) |
(-.f64 0 (+.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 1/360 (pow.f64 x 6))) (*.f64 (pow.f64 x 8) -1/20160))) |
(-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) (*.f64 (pow.f64 x 8) -1/20160)) |
(-.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 (pow.f64 x 4) -1/12)) |
(-.f64 (*.f64 (pow.f64 x 6) 1/180) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 (pow.f64 x 8) -1/20160)))) |
(-.f64 (*.f64 (pow.f64 x 6) 1/180) (+.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 (pow.f64 x 4) -1/12)) (*.f64 (pow.f64 x 8) -1/20160))) |
(-.f64 (*.f64 (pow.f64 x 8) 1/10080) (+.f64 (*.f64 (pow.f64 x 6) -1/360) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) -1/12)))) |
(-.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/10080) (*.f64 (pow.f64 x 4) -1/6)) (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 (pow.f64 x 6) -1/360))) |
(-.f64 (*.f64 (pow.f64 x 4) 1/6) (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) -1/20160)) (*.f64 (pow.f64 x 6) -1/360))) |
(-.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/180) (-.f64 (*.f64 (pow.f64 x 8) 1/10080) (*.f64 (pow.f64 x 4) -1/6))) 4) (/.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/6) (*.f64 (pow.f64 x 8) 1/10080)) (*.f64 (pow.f64 x 6) 1/180)) 4)) |
(-.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/180) (-.f64 (*.f64 (pow.f64 x 8) 1/10080) (*.f64 (pow.f64 x 4) -1/6))) 4) (-.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/10080) (*.f64 (pow.f64 x 4) -1/6)) -4) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2))) |
(-.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/180) (-.f64 (*.f64 (pow.f64 x 8) 1/10080) (*.f64 (pow.f64 x 4) -1/6))) 4) (-.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) -2) (/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/10080) (*.f64 (pow.f64 x 4) -1/6)) 4))) |
(-.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2) (-.f64 (+.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 (pow.f64 x 8) -1/20160)) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2))) |
(-.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2) (+.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) -2) (+.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 (pow.f64 x 8) -1/20160)))) |
(-.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2) (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/6) (*.f64 1/360 (pow.f64 x 6))) 2) (*.f64 (pow.f64 x 8) -1/20160))) |
(-.f64 (/.f64 (*.f64 1/20160 (pow.f64 x 8)) 2) (-.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 1/360 (pow.f64 x 6))) (/.f64 (*.f64 1/20160 (pow.f64 x 8)) 2))) |
(-.f64 (/.f64 (*.f64 1/20160 (pow.f64 x 8)) 2) (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/6) (*.f64 1/20160 (pow.f64 x 8))) 2) (*.f64 (pow.f64 x 6) -1/360))) |
(-.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/10080) (*.f64 (pow.f64 x 4) -1/6)) 4) (-.f64 (*.f64 (pow.f64 x 6) -1/360) (/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/10080) (*.f64 (pow.f64 x 4) -1/6)) 4))) |
(-.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/10080) (*.f64 (pow.f64 x 4) -1/6)) 4) (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/10080) (*.f64 (pow.f64 x 4) -1/6)) -4) (*.f64 (pow.f64 x 6) -1/360))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4) (-.f64 (+.f64 (*.f64 (pow.f64 x 6) -1/360) (*.f64 (pow.f64 x 8) -1/20160)) (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4) (+.f64 (-.f64 (*.f64 (pow.f64 x 8) -1/20160) (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4)) (*.f64 (pow.f64 x 6) -1/360))) |
(-.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (/.f64 (*.f64 1/20160 (pow.f64 x 8)) 2)) (/.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/6) (*.f64 1/20160 (pow.f64 x 8))) 2)) |
(-.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (/.f64 (*.f64 1/20160 (pow.f64 x 8)) 2)) (+.f64 (/.f64 (*.f64 1/20160 (pow.f64 x 8)) -2) (*.f64 (pow.f64 x 4) -1/12))) |
(-.f64 (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2)) (/.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/6) (*.f64 1/360 (pow.f64 x 6))) 2)) |
(-.f64 (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2)) (+.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) -2) (*.f64 (pow.f64 x 4) -1/12))) |
(-.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/10080) (*.f64 (pow.f64 x 4) -1/6)) 4)) (/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/10080) (*.f64 (pow.f64 x 4) -1/6)) -4)) |
(-.f64 (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2)) (/.f64 (*.f64 1/360 (pow.f64 x 6)) -2)) |
(-.f64 (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) (/.f64 (*.f64 1/20160 (pow.f64 x 8)) 2)) (/.f64 (*.f64 1/20160 (pow.f64 x 8)) -2)) |
(-.f64 (+.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))) (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4)) (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2)) |
(-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2)) (-.f64 (*.f64 (pow.f64 x 8) -1/20160) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2))) |
(-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2)) (+.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) -2) (*.f64 (pow.f64 x 8) -1/20160))) |
(-.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4)) (-.f64 (*.f64 (pow.f64 x 8) -1/20160) (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4))) |
(-.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4)) (+.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2) (*.f64 (pow.f64 x 8) -1/20160))) |
(-.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/10080) (*.f64 (pow.f64 x 6) -1/360)) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) -1/12))) |
(-.f64 (-.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 (pow.f64 x 8) -1/20160)))) (*.f64 (pow.f64 x 6) -1/360)) |
(-.f64 (-.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) -1/12))) (+.f64 (*.f64 (pow.f64 x 6) -1/360) (*.f64 (pow.f64 x 8) -1/20160))) |
(-.f64 (-.f64 (/.f64 (*.f64 1/20160 (pow.f64 x 8)) 2) (*.f64 (pow.f64 x 6) -1/360)) (/.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/6) (*.f64 1/20160 (pow.f64 x 8))) 2)) |
(-.f64 (-.f64 (/.f64 (*.f64 1/20160 (pow.f64 x 8)) 2) (*.f64 (pow.f64 x 6) -1/360)) (+.f64 (/.f64 (*.f64 1/20160 (pow.f64 x 8)) -2) (*.f64 (pow.f64 x 4) -1/12))) |
(-.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4) (*.f64 (pow.f64 x 6) -1/360)) (-.f64 (*.f64 (pow.f64 x 8) -1/20160) (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4))) |
(-.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4) (*.f64 (pow.f64 x 6) -1/360)) (+.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2) (*.f64 (pow.f64 x 8) -1/20160))) |
(-.f64 (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4)) (-.f64 (*.f64 (pow.f64 x 6) -1/360) (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4))) |
(-.f64 (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4)) (+.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2) (*.f64 (pow.f64 x 6) -1/360))) |
(-.f64 (/.f64 (-.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) -1/6)) 2) (-.f64 (*.f64 (pow.f64 x 6) -1/360) (/.f64 (*.f64 1/20160 (pow.f64 x 8)) 2))) |
(-.f64 (/.f64 (-.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) -1/6)) 2) (+.f64 (/.f64 (*.f64 1/20160 (pow.f64 x 8)) -2) (*.f64 (pow.f64 x 6) -1/360))) |
(-.f64 (-.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/10080) (*.f64 (pow.f64 x 4) -1/6)) 4) (*.f64 (pow.f64 x 6) -1/360)) (/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/10080) (*.f64 (pow.f64 x 4) -1/6)) -4)) |
(-.f64 (*.f64 3 (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2)) (-.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 (pow.f64 x 8) -1/20160))) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2))) |
(-.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/10080) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2)) (-.f64 (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) -1/12)) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2))) |
(-.f64 (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 0) (+.f64 (+.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 (pow.f64 x 8) -1/20160)) (*.f64 (pow.f64 x 6) -1/360))) |
(-.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4) (+.f64 (*.f64 (pow.f64 x 6) -1/360) (*.f64 (pow.f64 x 8) -1/20160))) (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2)) |
(-.f64 (-.f64 (/.f64 (*.f64 1/20160 (pow.f64 x 8)) 2) (-.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 1/360 (pow.f64 x 6)))) (/.f64 (*.f64 1/20160 (pow.f64 x 8)) -2)) |
(-.f64 (-.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2) (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2)) (-.f64 (-.f64 (*.f64 (pow.f64 x 8) -1/20160) (/.f64 (*.f64 (pow.f64 x 4) -1/6) -4)) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2))) |
(-.f64 (-.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2) (/.f64 (*.f64 1/20160 (pow.f64 x 8)) -2)) (-.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/6) (*.f64 1/20160 (pow.f64 x 8))) 2) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2))) |
(-.f64 (-.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2) (/.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 (pow.f64 x 8) 1/10080)) 2)) (-.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2))) |
(-.f64 (-.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2) (/.f64 (-.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) -1/6)) -2)) (-.f64 (/.f64 (*.f64 1/20160 (pow.f64 x 8)) -2) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2))) |
(-.f64 (-.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2) (-.f64 1 (*.f64 1/20160 (pow.f64 x 8)))) (-.f64 (-.f64 -1 (*.f64 1/12 (pow.f64 x 4))) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2))) |
(-.f64 (-.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2) (-.f64 1 (*.f64 1/12 (pow.f64 x 4)))) (-.f64 (-.f64 -1 (*.f64 1/20160 (pow.f64 x 8))) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2))) |
(-.f64 (-.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (+.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 (pow.f64 x 8) -1/20160)) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2))) (-.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2) (*.f64 1/360 (pow.f64 x 6)))) |
(*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) 1) |
(*.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))))) |
(*.f64 -1 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 (pow.f64 x 8) -1/20160)) (*.f64 (pow.f64 x 6) -1/360))) |
(*.f64 2 (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) 1/2)) |
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 6) 1/180) (-.f64 (*.f64 (pow.f64 x 8) 1/10080) (*.f64 (pow.f64 x 4) -1/6)))) |
(*.f64 1/2 (-.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/180) (*.f64 (pow.f64 x 8) 1/10080)) (*.f64 (pow.f64 x 4) -1/6))) |
(*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 (pow.f64 x 8) -1/20160)) (*.f64 (pow.f64 x 6) -1/360)) -1) |
(*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/90) (+.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 (pow.f64 x 8) 1/5040))) 1/4) |
(*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/180) (-.f64 (*.f64 (pow.f64 x 8) 1/10080) (*.f64 (pow.f64 x 4) -1/6))) 1/2) |
(*.f64 1/4 (+.f64 (*.f64 (pow.f64 x 6) 1/90) (+.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 (pow.f64 x 8) 1/5040)))) |
(*.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/180) (-.f64 (*.f64 (pow.f64 x 8) 1/10080) (*.f64 (pow.f64 x 4) -1/6))) 4) 1/8) |
(/.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) 1) |
(/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 (pow.f64 x 8) -1/20160)) (*.f64 (pow.f64 x 6) -1/360)) -1) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/90) (+.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 (pow.f64 x 8) 1/5040))) 4) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/180) (-.f64 (*.f64 (pow.f64 x 8) 1/10080) (*.f64 (pow.f64 x 4) -1/6))) 2) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/180) (-.f64 (*.f64 (pow.f64 x 8) 1/10080) (*.f64 (pow.f64 x 4) -1/6))) 4) 8) |
(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/180) (*.f64 (pow.f64 x 8) 1/10080)) (*.f64 (pow.f64 x 4) -1/6)) 2) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/90) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 (pow.f64 x 8) 1/5040)))) 4) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/90) (-.f64 0 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 (pow.f64 x 8) 1/5040)))) 4) |
(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 (pow.f64 x 8) 1/5040)) (neg.f64 (*.f64 (pow.f64 x 6) 1/90))) 4) |
(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/180) (*.f64 (pow.f64 x 4) 1/6)) (neg.f64 (*.f64 (pow.f64 x 8) 1/10080))) 2) |
(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/90) (*.f64 (pow.f64 x 4) 1/3)) (neg.f64 (*.f64 (pow.f64 x 8) 1/5040))) 4) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) 4) (neg.f64 (*.f64 (pow.f64 x 8) 1/5040))) 4) |
(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/90) (*.f64 (pow.f64 x 8) 1/5040)) (neg.f64 (*.f64 (pow.f64 x 4) 1/3))) 4) |
(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/90) (*.f64 (pow.f64 x 8) 1/5040)) (-.f64 0 (*.f64 (pow.f64 x 4) 1/3))) 4) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))) 4) (neg.f64 (*.f64 (pow.f64 x 4) 1/3))) 4) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))) 4) (-.f64 0 (*.f64 (pow.f64 x 4) 1/3))) 4) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/90) (+.f64 (*.f64 (pow.f64 x 6) 1/180) (-.f64 (*.f64 (pow.f64 x 4) -1/6) (*.f64 (pow.f64 x 8) 1/10080)))) 2) |
(pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) 1) |
(neg.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 (pow.f64 x 8) -1/20160)) (*.f64 (pow.f64 x 6) -1/360))) |
| Outputs |
|---|
(*.f64 1/12 (pow.f64 x 4)) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) |
(*.f64 1/20160 (pow.f64 x 8)) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))) |
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(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 (pow.f64 x 8) 1/5040)) (neg.f64 (*.f64 (pow.f64 x 6) 1/90))) 4) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) |
(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/180) (*.f64 (pow.f64 x 4) 1/6)) (neg.f64 (*.f64 (pow.f64 x 8) 1/10080))) 2) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) |
(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/90) (*.f64 (pow.f64 x 4) 1/3)) (neg.f64 (*.f64 (pow.f64 x 8) 1/5040))) 4) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) 4) (neg.f64 (*.f64 (pow.f64 x 8) 1/5040))) 4) |
(/.f64 (-.f64 (*.f64 4 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (neg.f64 (*.f64 (pow.f64 x 8) 1/5040))) 4) |
(-.f64 (/.f64 (*.f64 4 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) 4) (neg.f64 (*.f64 1/20160 (pow.f64 x 8)))) |
(-.f64 (*.f64 1/20160 (pow.f64 x 8)) (/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 (pow.f64 x 6) -1/360)) 1/4) 4)) |
(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/90) (*.f64 (pow.f64 x 8) 1/5040)) (neg.f64 (*.f64 (pow.f64 x 4) 1/3))) 4) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) |
(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/90) (*.f64 (pow.f64 x 8) 1/5040)) (-.f64 0 (*.f64 (pow.f64 x 4) 1/3))) 4) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))) 4) (neg.f64 (*.f64 (pow.f64 x 4) 1/3))) 4) |
(/.f64 (-.f64 (*.f64 4 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) (neg.f64 (*.f64 (pow.f64 x 4) 1/3))) 4) |
(-.f64 (/.f64 (*.f64 4 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) 4) (neg.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(-.f64 (*.f64 1/12 (pow.f64 x 4)) (/.f64 (/.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))) -1/4) 4)) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))) 4) (-.f64 0 (*.f64 (pow.f64 x 4) 1/3))) 4) |
(/.f64 (-.f64 (*.f64 4 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) (neg.f64 (*.f64 (pow.f64 x 4) 1/3))) 4) |
(-.f64 (/.f64 (*.f64 4 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) 4) (neg.f64 (*.f64 1/12 (pow.f64 x 4)))) |
(-.f64 (*.f64 1/12 (pow.f64 x 4)) (/.f64 (/.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))) -1/4) 4)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/90) (+.f64 (*.f64 (pow.f64 x 6) 1/180) (-.f64 (*.f64 (pow.f64 x 4) -1/6) (*.f64 (pow.f64 x 8) 1/10080)))) 2) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) |
(pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) 1) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) |
(neg.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 (pow.f64 x 8) -1/20160)) (*.f64 (pow.f64 x 6) -1/360))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) |
Compiled 6 to 4 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.3b | (+.f64 (exp.f64 x) -1) |
Compiled 9 to 5 computations (44.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 (exp.f64 x) -1) |
| 0.0ms | x | @ | inf | (+.f64 (exp.f64 x) -1) |
| 0.0ms | x | @ | -inf | (+.f64 (exp.f64 x) -1) |
| 1× | batch-egg-rewrite |
| 1048× | rational_best-4 |
| 1048× | rational_best-2 |
| 1048× | rational_best-3 |
| 1048× | rational_best-1 |
| 1048× | exponential-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 46 | 11 |
| 2 | 88 | 11 |
| 3 | 210 | 11 |
| 4 | 608 | 11 |
| 5 | 2625 | 11 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (exp.f64 x) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 x) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (exp.f64 x) 1/2) (+.f64 1/2 (-.f64 1/2 (*.f64 (exp.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (exp.f64 x) 1/2) (-.f64 1 (*.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (exp.f64 x) 1/2) (/.f64 (+.f64 2 (neg.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) (-.f64 1/2 (*.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (*.f64 (exp.f64 x) 1/2)) (/.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (*.f64 -3 (+.f64 (/.f64 (exp.f64 x) 4) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) 4) (-.f64 (-.f64 1 (*.f64 (exp.f64 x) 1/2)) (/.f64 (exp.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 x) -1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4)) (neg.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2)) 2) (/.f64 (+.f64 (/.f64 (exp.f64 x) -2) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 (+.f64 (exp.f64 x) -1) 3) 1/2) 2) (/.f64 (-.f64 1/2 (*.f64 (exp.f64 x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 3) 4) (/.f64 (-.f64 1 (exp.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) -1) (*.f64 (exp.f64 x) 2)) 4) (/.f64 (+.f64 (neg.f64 (exp.f64 x)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4)) (-.f64 1/2 (+.f64 (/.f64 (exp.f64 x) 4) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (exp.f64 x) 4) (/.f64 (exp.f64 x) -2)) (-.f64 1 (/.f64 (exp.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (-.f64 1/2 (*.f64 (exp.f64 x) 1/2))) (neg.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (exp.f64 x) 4) 1/2) (/.f64 (-.f64 1 (*.f64 (*.f64 (exp.f64 x) 3) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (exp.f64 x) -2)) (-.f64 1/2 (+.f64 (/.f64 (exp.f64 x) 4) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (exp.f64 x) 4) (neg.f64 (/.f64 (exp.f64 x) 4))) (-.f64 (-.f64 1 (/.f64 (exp.f64 x) 4)) (/.f64 (exp.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (exp.f64 x) 4) (-.f64 1 (*.f64 (exp.f64 x) 1/2))) (neg.f64 (/.f64 (exp.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) 1/2) (-.f64 (/.f64 (exp.f64 x) -2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (neg.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4))) (-.f64 (neg.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4)) (+.f64 (/.f64 (exp.f64 x) 4) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (exp.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (exp.f64 x) -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (-.f64 1/2 (*.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (exp.f64 x) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -1) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -1) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1 (exp.f64 x))))))) |
| 1× | egg-herbie |
| 1226× | rational_best-simplify-65 |
| 1134× | rational_best-simplify-3 |
| 894× | rational_best-simplify-66 |
| 774× | rational_best-simplify-67 |
| 766× | rational_best-simplify-64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 756 |
| 1 | 361 | 756 |
| 2 | 918 | 756 |
| 3 | 3386 | 756 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) 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)) x))) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (+.f64 (exp.f64 x) -1) 0) |
(-.f64 0 (-.f64 1 (exp.f64 x))) |
(-.f64 (*.f64 (exp.f64 x) 1/2) (+.f64 1/2 (-.f64 1/2 (*.f64 (exp.f64 x) 1/2)))) |
(-.f64 (*.f64 (exp.f64 x) 1/2) (-.f64 1 (*.f64 (exp.f64 x) 1/2))) |
(-.f64 (*.f64 (exp.f64 x) 1/2) (/.f64 (+.f64 2 (neg.f64 (exp.f64 x))) 2)) |
(-.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) (-.f64 1/2 (*.f64 (exp.f64 x) 1/2))) |
(-.f64 (+.f64 -1 (*.f64 (exp.f64 x) 1/2)) (/.f64 (exp.f64 x) -2)) |
(-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (*.f64 -3 (+.f64 (/.f64 (exp.f64 x) 4) -1/4))) |
(-.f64 (/.f64 (exp.f64 x) 4) (-.f64 (-.f64 1 (*.f64 (exp.f64 x) 1/2)) (/.f64 (exp.f64 x) 4))) |
(-.f64 (+.f64 (exp.f64 x) -1/2) 1/2) |
(-.f64 (+.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4)) (neg.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4))) |
(-.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2)) 2) (/.f64 (+.f64 (/.f64 (exp.f64 x) -2) 3/2) 2)) |
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 (exp.f64 x) -1) 3) 1/2) 2) (/.f64 (-.f64 1/2 (*.f64 (exp.f64 x) 1/2)) 2)) |
(-.f64 (/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 3) 4) (/.f64 (-.f64 1 (exp.f64 x)) 4)) |
(-.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) -1) (*.f64 (exp.f64 x) 2)) 4) (/.f64 (+.f64 (neg.f64 (exp.f64 x)) 3) 4)) |
(-.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4)) (-.f64 1/2 (+.f64 (/.f64 (exp.f64 x) 4) -1/4))) |
(-.f64 (-.f64 (/.f64 (exp.f64 x) 4) (/.f64 (exp.f64 x) -2)) (-.f64 1 (/.f64 (exp.f64 x) 4))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (-.f64 1/2 (*.f64 (exp.f64 x) 1/2))) (neg.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4))) |
(-.f64 (-.f64 (/.f64 (exp.f64 x) 4) 1/2) (/.f64 (-.f64 1 (*.f64 (*.f64 (exp.f64 x) 3) 1/2)) 2)) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (exp.f64 x) -2)) (-.f64 1/2 (+.f64 (/.f64 (exp.f64 x) 4) -1/4))) |
(-.f64 (-.f64 (/.f64 (exp.f64 x) 4) (neg.f64 (/.f64 (exp.f64 x) 4))) (-.f64 (-.f64 1 (/.f64 (exp.f64 x) 4)) (/.f64 (exp.f64 x) 4))) |
(-.f64 (-.f64 (/.f64 (exp.f64 x) 4) (-.f64 1 (*.f64 (exp.f64 x) 1/2))) (neg.f64 (/.f64 (exp.f64 x) 4))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) 1/2) (-.f64 (/.f64 (exp.f64 x) -2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (neg.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4))) (-.f64 (neg.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4)) (+.f64 (/.f64 (exp.f64 x) 4) -1/4))) |
(*.f64 (+.f64 (exp.f64 x) -1) 1) |
(*.f64 1 (+.f64 (exp.f64 x) -1)) |
(*.f64 2 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2)) |
(*.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 1/2) |
(*.f64 1/2 (+.f64 (*.f64 (exp.f64 x) 2) -2)) |
(*.f64 (-.f64 1 (exp.f64 x)) -1) |
(*.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 1/4) |
(*.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) 2) |
(*.f64 4 (*.f64 (+.f64 (exp.f64 x) -1) 1/4)) |
(*.f64 -2 (-.f64 1/2 (*.f64 (exp.f64 x) 1/2))) |
(*.f64 1/4 (*.f64 (+.f64 (exp.f64 x) -1) 4)) |
(*.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -1) 4)) 1/8) |
(*.f64 1/8 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -1) 4))) |
(*.f64 (*.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4) 1/16) |
(/.f64 (+.f64 (exp.f64 x) -1) 1) |
(/.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 2) |
(/.f64 (-.f64 1 (exp.f64 x)) -1) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -1) 4)) 8) |
(/.f64 (*.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4) 16) |
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) -2)) 4) |
(pow.f64 (+.f64 (exp.f64 x) -1) 1) |
(neg.f64 (-.f64 1 (exp.f64 x))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x))) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))) |
(+.f64 x (+.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) (*.f64 1/6 (pow.f64 x 3)))) |
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))) |
(-.f64 (exp.f64 x) 1) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (exp.f64 x) 1) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (exp.f64 x) 1) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (exp.f64 x) 1) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (exp.f64 x) 1) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (exp.f64 x) 1) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (exp.f64 x) 1) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (exp.f64 x) 1) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (exp.f64 x) 1) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (+.f64 (exp.f64 x) -1) 0) |
(+.f64 (exp.f64 x) -1) |
(-.f64 0 (-.f64 1 (exp.f64 x))) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (*.f64 (exp.f64 x) 1/2) (+.f64 1/2 (-.f64 1/2 (*.f64 (exp.f64 x) 1/2)))) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (*.f64 (exp.f64 x) 1/2) (-.f64 1 (*.f64 (exp.f64 x) 1/2))) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (*.f64 (exp.f64 x) 1/2) (/.f64 (+.f64 2 (neg.f64 (exp.f64 x))) 2)) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) (-.f64 1/2 (*.f64 (exp.f64 x) 1/2))) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (+.f64 -1 (*.f64 (exp.f64 x) 1/2)) (/.f64 (exp.f64 x) -2)) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (*.f64 -3 (+.f64 (/.f64 (exp.f64 x) 4) -1/4))) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (/.f64 (exp.f64 x) 4) (-.f64 (-.f64 1 (*.f64 (exp.f64 x) 1/2)) (/.f64 (exp.f64 x) 4))) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (+.f64 (exp.f64 x) -1/2) 1/2) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (+.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4)) (neg.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4))) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2)) 2) (/.f64 (+.f64 (/.f64 (exp.f64 x) -2) 3/2) 2)) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 (exp.f64 x) -1) 3) 1/2) 2) (/.f64 (-.f64 1/2 (*.f64 (exp.f64 x) 1/2)) 2)) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 3) 4) (/.f64 (-.f64 1 (exp.f64 x)) 4)) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) -1) (*.f64 (exp.f64 x) 2)) 4) (/.f64 (+.f64 (neg.f64 (exp.f64 x)) 3) 4)) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4)) (-.f64 1/2 (+.f64 (/.f64 (exp.f64 x) 4) -1/4))) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (-.f64 (/.f64 (exp.f64 x) 4) (/.f64 (exp.f64 x) -2)) (-.f64 1 (/.f64 (exp.f64 x) 4))) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (-.f64 1/2 (*.f64 (exp.f64 x) 1/2))) (neg.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4))) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (-.f64 (/.f64 (exp.f64 x) 4) 1/2) (/.f64 (-.f64 1 (*.f64 (*.f64 (exp.f64 x) 3) 1/2)) 2)) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (exp.f64 x) -2)) (-.f64 1/2 (+.f64 (/.f64 (exp.f64 x) 4) -1/4))) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (-.f64 (/.f64 (exp.f64 x) 4) (neg.f64 (/.f64 (exp.f64 x) 4))) (-.f64 (-.f64 1 (/.f64 (exp.f64 x) 4)) (/.f64 (exp.f64 x) 4))) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (-.f64 (/.f64 (exp.f64 x) 4) (-.f64 1 (*.f64 (exp.f64 x) 1/2))) (neg.f64 (/.f64 (exp.f64 x) 4))) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) 1/2) (-.f64 (/.f64 (exp.f64 x) -2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4))) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (neg.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4))) (-.f64 (neg.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4)) (+.f64 (/.f64 (exp.f64 x) 4) -1/4))) |
(+.f64 (exp.f64 x) -1) |
(*.f64 (+.f64 (exp.f64 x) -1) 1) |
(+.f64 (exp.f64 x) -1) |
(*.f64 1 (+.f64 (exp.f64 x) -1)) |
(+.f64 (exp.f64 x) -1) |
(*.f64 2 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2)) |
(+.f64 (exp.f64 x) -1) |
(*.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 1/2) |
(+.f64 (exp.f64 x) -1) |
(*.f64 1/2 (+.f64 (*.f64 (exp.f64 x) 2) -2)) |
(+.f64 (exp.f64 x) -1) |
(*.f64 (-.f64 1 (exp.f64 x)) -1) |
(+.f64 (exp.f64 x) -1) |
(*.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 1/4) |
(+.f64 (exp.f64 x) -1) |
(*.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) 2) |
(+.f64 (exp.f64 x) -1) |
(*.f64 4 (*.f64 (+.f64 (exp.f64 x) -1) 1/4)) |
(+.f64 (exp.f64 x) -1) |
(*.f64 -2 (-.f64 1/2 (*.f64 (exp.f64 x) 1/2))) |
(+.f64 (exp.f64 x) -1) |
(*.f64 1/4 (*.f64 (+.f64 (exp.f64 x) -1) 4)) |
(+.f64 (exp.f64 x) -1) |
(*.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -1) 4)) 1/8) |
(+.f64 (exp.f64 x) -1) |
(*.f64 1/8 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -1) 4))) |
(+.f64 (exp.f64 x) -1) |
(*.f64 (*.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4) 1/16) |
(+.f64 (exp.f64 x) -1) |
(/.f64 (+.f64 (exp.f64 x) -1) 1) |
(+.f64 (exp.f64 x) -1) |
(/.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 2) |
(+.f64 (exp.f64 x) -1) |
(/.f64 (-.f64 1 (exp.f64 x)) -1) |
(+.f64 (exp.f64 x) -1) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4) |
(+.f64 (exp.f64 x) -1) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -1) 4)) 8) |
(+.f64 (exp.f64 x) -1) |
(/.f64 (*.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4) 16) |
(+.f64 (exp.f64 x) -1) |
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) -2)) 4) |
(/.f64 (-.f64 (*.f64 2 (+.f64 (exp.f64 x) -2)) (*.f64 (exp.f64 x) -2)) 4) |
(-.f64 (/.f64 (*.f64 2 (+.f64 (exp.f64 x) -2)) 4) (/.f64 (exp.f64 x) -2)) |
(-.f64 (/.f64 (*.f64 2 (+.f64 (exp.f64 x) -2)) 4) (*.f64 (exp.f64 x) -1/2)) |
(pow.f64 (+.f64 (exp.f64 x) -1) 1) |
(+.f64 (exp.f64 x) -1) |
(neg.f64 (-.f64 1 (exp.f64 x))) |
(+.f64 (exp.f64 x) -1) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
| ✓ | 3.4b | (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
Compiled 24 to 8 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
| 0.0ms | x | @ | 0 | (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
| 1× | batch-egg-rewrite |
| 806× | rational_best-simplify-51 |
| 774× | rational_best-simplify-57 |
| 674× | rational_best-simplify-67 |
| 652× | rational_best-4 |
| 652× | rational_best-2 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 1 | 71 | 44 |
| 2 | 160 | 44 |
| 3 | 442 | 44 |
| 4 | 1624 | 44 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (neg.f64 x)) (neg.f64 (-.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (neg.f64 (-.f64 2 (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (+.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (neg.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 (neg.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 x) -1) (neg.f64 (-.f64 1 (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (+.f64 -1 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (exp.f64 x) 2) (-.f64 (/.f64 (exp.f64 x) 2) (-.f64 2 (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (+.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (+.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (-.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (exp.f64 x) 2)) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 x) -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (exp.f64 x) 2)) (-.f64 (+.f64 -1 (/.f64 (exp.f64 x) 2)) (/.f64 -1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (exp.f64 x) 2)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) (+.f64 (+.f64 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) (-.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) (/.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -1)) 2) (/.f64 (+.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 (neg.f64 x)) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (exp.f64 x) -1) 2) (+.f64 (/.f64 (+.f64 (exp.f64 x) -1) 2) (+.f64 (exp.f64 (neg.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (exp.f64 x) -1) 2) (-.f64 (/.f64 (+.f64 (exp.f64 x) -1) 2) (-.f64 1 (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4) 1/2) (/.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4) 1/2) (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (+.f64 (exp.f64 x) -1)) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 (exp.f64 x) -1) 2) (+.f64 (exp.f64 (neg.f64 x)) -1)) (/.f64 (+.f64 (exp.f64 x) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 (neg.f64 x)) -2)) 2) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (-.f64 (/.f64 1/2 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) (neg.f64 (exp.f64 x))) (+.f64 -1 (/.f64 1/2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (exp.f64 x) 2) (-.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 -1 (/.f64 (exp.f64 x) 2)) (/.f64 -1 (exp.f64 x))) (+.f64 -1 (/.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 (neg.f64 x)))) (+.f64 -1 (/.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (exp.f64 x) -1) 2) (-.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (exp.f64 x) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 2 (exp.f64 x))) (/.f64 1/2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (+.f64 1 (/.f64 (exp.f64 x) -2))) (neg.f64 (/.f64 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| 1× | egg-herbie |
| 982× | rational_best-simplify-3 |
| 896× | rational_best-simplify-65 |
| 826× | rational_best-simplify-1 |
| 608× | rational_best-simplify-64 |
| 606× | rational_best-simplify-108 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 300 | 3864 |
| 1 | 760 | 3774 |
| 2 | 2060 | 3750 |
| 3 | 7022 | 3750 |
| 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 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) |
2 |
(+.f64 2 (pow.f64 x 2)) |
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) |
(+.f64 2 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(+.f64 (exp.f64 (neg.f64 x)) (neg.f64 (-.f64 2 (exp.f64 x)))) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 (exp.f64 x) (neg.f64 (-.f64 2 (exp.f64 (neg.f64 x))))) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 0) |
(+.f64 0 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))) |
(+.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -1))) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (+.f64 (exp.f64 x) -1)) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (neg.f64 (-.f64 1 (exp.f64 x)))) |
(+.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 (neg.f64 x)) -1)) |
(+.f64 (+.f64 (exp.f64 x) -1) (neg.f64 (-.f64 1 (exp.f64 (neg.f64 x))))) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -1)) -1) |
(+.f64 -2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (exp.f64 x)) |
(+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) |
(+.f64 -1/2 (/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -1))) 2)) |
(+.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 2 (exp.f64 x)))) |
(+.f64 (+.f64 -1 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (+.f64 -1 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))) |
(+.f64 (/.f64 (exp.f64 x) 2) (-.f64 (/.f64 (exp.f64 x) 2) (-.f64 2 (exp.f64 (neg.f64 x))))) |
(+.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (+.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (+.f64 (exp.f64 x) -1))) |
(+.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (-.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (-.f64 1 (exp.f64 x)))) |
(+.f64 (+.f64 -1 (/.f64 (exp.f64 x) 2)) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 x) -2)) -1)) |
(+.f64 (+.f64 -1 (/.f64 (exp.f64 x) 2)) (-.f64 (+.f64 -1 (/.f64 (exp.f64 x) 2)) (/.f64 -1 (exp.f64 x)))) |
(+.f64 (+.f64 -1 (/.f64 (exp.f64 x) 2)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))) 2)) |
(+.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) (+.f64 (+.f64 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) -1)) |
(+.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) (-.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) (neg.f64 (exp.f64 x)))) |
(+.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) (/.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))) 2)) |
(+.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -1)) 2) (/.f64 (+.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 (neg.f64 x)) -2)) 2)) |
(+.f64 (/.f64 (+.f64 (exp.f64 x) -1) 2) (+.f64 (/.f64 (+.f64 (exp.f64 x) -1) 2) (+.f64 (exp.f64 (neg.f64 x)) -1))) |
(+.f64 (/.f64 (+.f64 (exp.f64 x) -1) 2) (-.f64 (/.f64 (+.f64 (exp.f64 x) -1) 2) (-.f64 1 (exp.f64 (neg.f64 x))))) |
(+.f64 (-.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4) 1/2) (/.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 3) 2) 2)) |
(+.f64 (-.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4) 1/2) (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 3) 4)) |
(+.f64 (+.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (+.f64 (exp.f64 x) -1)) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))) |
(+.f64 (+.f64 (/.f64 (+.f64 (exp.f64 x) -1) 2) (+.f64 (exp.f64 (neg.f64 x)) -1)) (/.f64 (+.f64 (exp.f64 x) -1) 2)) |
(+.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 (neg.f64 x)) -2)) 2) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -1)) 2)) |
(+.f64 (+.f64 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (-.f64 (/.f64 1/2 (exp.f64 x)) 2)) |
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 x) -2)) (-.f64 (/.f64 (exp.f64 x) 2) 2)) |
(+.f64 (-.f64 (/.f64 1/2 (exp.f64 x)) 2) (+.f64 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) |
(+.f64 (-.f64 (/.f64 (exp.f64 x) 2) 2) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 x) -2))) |
(+.f64 (+.f64 (+.f64 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) -1) (+.f64 -1 (/.f64 1/2 (exp.f64 x)))) |
(+.f64 (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 x) -2)) -1) (+.f64 -1 (/.f64 (exp.f64 x) 2))) |
(+.f64 (-.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (+.f64 -1 (/.f64 1/2 (exp.f64 x)))) |
(+.f64 (-.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (-.f64 1 (exp.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))) |
(+.f64 (-.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) (neg.f64 (exp.f64 x))) (+.f64 -1 (/.f64 1/2 (exp.f64 x)))) |
(+.f64 (-.f64 (/.f64 (exp.f64 x) 2) (-.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) 2)) |
(+.f64 (-.f64 (+.f64 -1 (/.f64 (exp.f64 x) 2)) (/.f64 -1 (exp.f64 x))) (+.f64 -1 (/.f64 (exp.f64 x) 2))) |
(+.f64 (-.f64 (/.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 (neg.f64 x)))) (+.f64 -1 (/.f64 (exp.f64 x) 2))) |
(+.f64 (-.f64 (/.f64 (+.f64 (exp.f64 x) -1) 2) (-.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (exp.f64 x) -1) 2)) |
(+.f64 (-.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 2 (exp.f64 x))) (/.f64 1/2 (exp.f64 x))) |
(+.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (+.f64 1 (/.f64 (exp.f64 x) -2))) (neg.f64 (/.f64 (exp.f64 x) -2))) |
(+.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (/.f64 (exp.f64 x) -2)) (neg.f64 (/.f64 (exp.f64 x) -2))) |
(+.f64 (-.f64 (+.f64 (exp.f64 x) -2) (/.f64 -1/2 (exp.f64 x))) (neg.f64 (/.f64 -1/2 (exp.f64 x)))) |
(+.f64 (/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (-.f64 (*.f64 (exp.f64 x) 2) 2)) 4) (/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)))) 4)) |
(+.f64 (/.f64 (+.f64 -1 (-.f64 (+.f64 (exp.f64 x) (/.f64 2 (exp.f64 x))) 2)) 4) (/.f64 (+.f64 (+.f64 (exp.f64 x) -1) (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)))) 4)) |
(+.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 (neg.f64 x)) -2)) 4) (/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -1)) (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)))) 4)) |
(+.f64 (-.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) 1) (-.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (neg.f64 (exp.f64 x)))) |
(+.f64 (-.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (+.f64 1 (/.f64 (exp.f64 x) -2))) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -1)) 2)) |
(*.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 1/2)) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 1) |
(*.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))) |
(*.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))) 1/2) |
(*.f64 1/2 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 4) 1/4) |
(*.f64 (-.f64 1 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) -1)) |
(*.f64 1/4 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 4)) |
(*.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 4)) 1/8) |
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 1) |
(/.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))) 2) |
(/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 4)) (*.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 4))) 16) |
(/.f64 (+.f64 (*.f64 2 (-.f64 (*.f64 (exp.f64 x) 2) 2)) (*.f64 2 (-.f64 (/.f64 2 (exp.f64 x)) 2))) 4) |
(/.f64 (+.f64 (*.f64 2 (-.f64 (/.f64 2 (exp.f64 x)) 2)) (*.f64 2 (-.f64 (*.f64 (exp.f64 x) 2) 2))) 4) |
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 1) |
(neg.f64 (-.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x))) |
(-.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 0) |
(-.f64 0 (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x))) |
(-.f64 (/.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x)))) |
(-.f64 (*.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x)))) |
(-.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)) |
(-.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 (neg.f64 (exp.f64 x)) (/.f64 -1/2 (exp.f64 x)))) |
(-.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 (/.f64 -1/2 (exp.f64 x)) (neg.f64 (exp.f64 x)))) |
(-.f64 (/.f64 1/2 (exp.f64 x)) (/.f64 (-.f64 (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x)) 2)) |
(-.f64 (/.f64 (exp.f64 x) 2) (-.f64 (/.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) |
(-.f64 (/.f64 (exp.f64 x) 2) (+.f64 (/.f64 (exp.f64 x) -2) (/.f64 -1 (exp.f64 x)))) |
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (-.f64 0 (+.f64 (exp.f64 x) (/.f64 2 (exp.f64 x)))) 2)) |
(-.f64 (+.f64 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 -1/2 (exp.f64 x))) |
(-.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 x) -2)) (/.f64 (exp.f64 x) -2)) |
(-.f64 (/.f64 (+.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) 2) (/.f64 (+.f64 (/.f64 -3/2 (exp.f64 x)) (/.f64 (exp.f64 x) -2)) 2)) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 3) 2) 2) (/.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2) 2)) |
(-.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 3) 4) (/.f64 (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x)) 4)) |
(-.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) 2) (/.f64 (-.f64 (/.f64 -1/2 (exp.f64 x)) (/.f64 (*.f64 (exp.f64 x) 3) 2)) 2)) |
(-.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x))) |
(-.f64 (-.f64 (exp.f64 x) (exp.f64 x)) (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1) |
(*.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/2)) |
(*.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 1/2) |
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4) 1/4) |
(*.f64 1/4 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4)) |
(*.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4)) 1/8) |
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1) |
(/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 2) |
(/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4)) (*.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4))) 16) |
(/.f64 (+.f64 (/.f64 8 (exp.f64 x)) (*.f64 2 (*.f64 (exp.f64 x) 4))) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (exp.f64 x) 4)) (/.f64 8 (exp.f64 x))) 8) |
(/.f64 (-.f64 (/.f64 4 (exp.f64 x)) (neg.f64 (*.f64 (exp.f64 x) 4))) 4) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) 4) (/.f64 -4 (exp.f64 x))) 4) |
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1) |
(neg.f64 (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x))) |
| Outputs |
|---|
(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 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6))) |
(+.f64 (pow.f64 x 2) (+.f64 (*.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))))) |
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 1/360 (pow.f64 x 6)))) |
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
2 |
(+.f64 2 (pow.f64 x 2)) |
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 2 (pow.f64 x 2))) |
(+.f64 2 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))) |
(+.f64 2 (+.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))) |
(+.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 2 (*.f64 1/360 (pow.f64 x 6)))) |
(+.f64 2 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 (exp.f64 (neg.f64 x)) (neg.f64 (-.f64 2 (exp.f64 x)))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (neg.f64 (-.f64 2 (exp.f64 (neg.f64 x))))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 0) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 0 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -1))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (+.f64 (exp.f64 x) -1)) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (neg.f64 (-.f64 1 (exp.f64 x)))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 (neg.f64 x)) -1)) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 (+.f64 (exp.f64 x) -1) (neg.f64 (-.f64 1 (exp.f64 (neg.f64 x))))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -1)) -1) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 -2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (exp.f64 x)) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 -1/2 (/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -1))) 2)) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 2 (exp.f64 x)))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 (+.f64 -1 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (+.f64 -1 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 (/.f64 (exp.f64 x) 2) (-.f64 (/.f64 (exp.f64 x) 2) (-.f64 2 (exp.f64 (neg.f64 x))))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (+.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (+.f64 (exp.f64 x) -1))) |
(+.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 -1/2 (+.f64 -1 (+.f64 (exp.f64 x) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))))) |
(+.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 (+.f64 (exp.f64 x) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))) -3/2)) |
(+.f64 -1/2 (+.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 (-.f64 (exp.f64 x) 3/2) (/.f64 1/2 (exp.f64 x))))) |
(+.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (-.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (-.f64 1 (exp.f64 x)))) |
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(/.f64 (+.f64 (*.f64 2 (-.f64 (/.f64 2 (exp.f64 x)) 2)) (*.f64 2 (-.f64 (*.f64 (exp.f64 x) 2) 2))) 4) |
(/.f64 (+.f64 (*.f64 2 (-.f64 (*.f64 2 (exp.f64 x)) 2)) (*.f64 2 (-.f64 (/.f64 2 (exp.f64 x)) 2))) 4) |
(/.f64 (*.f64 2 (+.f64 (-.f64 (*.f64 2 (exp.f64 x)) 2) (-.f64 (/.f64 2 (exp.f64 x)) 2))) 4) |
(/.f64 (*.f64 2 (+.f64 (-.f64 (/.f64 2 (exp.f64 x)) 2) (-.f64 (*.f64 2 (exp.f64 x)) 2))) 4) |
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) 1) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(neg.f64 (-.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)) |
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 0) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 0 (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x)))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (*.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x)))) |
(-.f64 (*.f64 2 (exp.f64 x)) (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x)))) |
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 2 (exp.f64 x)) (exp.f64 x))) |
(-.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 (neg.f64 (exp.f64 x)) (/.f64 -1/2 (exp.f64 x)))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 (/.f64 -1/2 (exp.f64 x)) (neg.f64 (exp.f64 x)))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 1/2 (exp.f64 x)) (/.f64 (-.f64 (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x)) 2)) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 (exp.f64 x) 2) (-.f64 (/.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 (exp.f64 x) 2) (+.f64 (/.f64 (exp.f64 x) -2) (/.f64 -1 (exp.f64 x)))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (-.f64 0 (+.f64 (exp.f64 x) (/.f64 2 (exp.f64 x)))) 2)) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 -1/2 (exp.f64 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 x) -2)) (/.f64 (exp.f64 x) -2)) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 (+.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) 2) (/.f64 (+.f64 (/.f64 -3/2 (exp.f64 x)) (/.f64 (exp.f64 x) -2)) 2)) |
(/.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (+.f64 (/.f64 (exp.f64 x) -2) (/.f64 -3/2 (exp.f64 x)))) 2) |
(-.f64 (+.f64 (/.f64 (exp.f64 x) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4)) (+.f64 (/.f64 -3/4 (exp.f64 x)) (/.f64 (exp.f64 x) -4))) |
(-.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4)) (+.f64 (/.f64 -3/4 (exp.f64 x)) (/.f64 (exp.f64 x) -4))) |
(+.f64 (/.f64 (exp.f64 x) 4) (-.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4)) (/.f64 -3/4 (exp.f64 x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 3) 2) 2) (/.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2) 2)) |
(-.f64 (/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3) 4) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -4)) |
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3) (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 4) |
(-.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 3) 4) (/.f64 (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x)) 4)) |
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3) (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x))) 4) |
(-.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) 2) (/.f64 (-.f64 (/.f64 -1/2 (exp.f64 x)) (/.f64 (*.f64 (exp.f64 x) 3) 2)) 2)) |
(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (-.f64 (/.f64 -1/2 (exp.f64 x)) (/.f64 (*.f64 (exp.f64 x) 3) 2))) 2) |
(-.f64 (+.f64 (/.f64 1/2 (exp.f64 x)) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4)) (-.f64 (/.f64 -1/4 (exp.f64 x)) (/.f64 (*.f64 (exp.f64 x) 3) 4))) |
(/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 x) 3) 2) (+.f64 (-.f64 (/.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) (/.f64 -1 (exp.f64 x)))) 2) |
(-.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (-.f64 (exp.f64 x) (exp.f64 x)) (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/2)) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 1/2) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4) 1/4) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 1/4 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4)) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4)) 1/8) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 2) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4) 4) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4)) 8) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4)) (*.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4))) 16) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(/.f64 (+.f64 (/.f64 8 (exp.f64 x)) (*.f64 2 (*.f64 (exp.f64 x) 4))) 8) |
(/.f64 (+.f64 (/.f64 8 (exp.f64 x)) (*.f64 2 (*.f64 4 (exp.f64 x)))) 8) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 (exp.f64 x) 8) 8)) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 4 (exp.f64 x)) 4)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (exp.f64 x) 4)) (/.f64 8 (exp.f64 x))) 8) |
(/.f64 (+.f64 (/.f64 8 (exp.f64 x)) (*.f64 2 (*.f64 4 (exp.f64 x)))) 8) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 (exp.f64 x) 8) 8)) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 4 (exp.f64 x)) 4)) |
(/.f64 (-.f64 (/.f64 4 (exp.f64 x)) (neg.f64 (*.f64 (exp.f64 x) 4))) 4) |
(/.f64 (+.f64 (/.f64 8 (exp.f64 x)) (*.f64 2 (*.f64 4 (exp.f64 x)))) 8) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 (exp.f64 x) 8) 8)) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 4 (exp.f64 x)) 4)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) 4) (/.f64 -4 (exp.f64 x))) 4) |
(/.f64 (+.f64 (/.f64 8 (exp.f64 x)) (*.f64 2 (*.f64 4 (exp.f64 x)))) 8) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 (exp.f64 x) 8) 8)) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 4 (exp.f64 x)) 4)) |
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(neg.f64 (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
| 0.1b | (*.f64 1/12 (pow.f64 x 4)) |
Compiled 25 to 19 computations (24% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | x | @ | -inf | (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
| 1.0ms | x | @ | inf | (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
| 0.0ms | x | @ | 0 | (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
| 1× | batch-egg-rewrite |
| 1166× | rational_best-simplify-86 |
| 974× | rational_best-simplify-62 |
| 688× | rational_best-simplify-83 |
| 610× | rational_best-simplify-47 |
| 518× | rational_best-simplify-52 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 67 | 25 |
| 2 | 129 | 25 |
| 3 | 293 | 25 |
| 4 | 1000 | 25 |
| 5 | 6310 | 25 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
| Outputs |
|---|
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pow.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/12) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) (neg.f64 (*.f64 (pow.f64 x 4) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) (*.f64 (pow.f64 x 2) -2))))))) |
| 1× | egg-herbie |
| 982× | rational_best-simplify-55 |
| 886× | rational_best-simplify-50 |
| 764× | rational_best-simplify-57 |
| 628× | rational_best-simplify-47 |
| 506× | rational_best-simplify-3 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 216 | 2825 |
| 1 | 547 | 2771 |
| 2 | 1512 | 2695 |
| 3 | 6599 | 2669 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(-.f64 (pow.f64 x 2) (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) (neg.f64 (pow.f64 x 2)))) |
(-.f64 (pow.f64 x 2) (+.f64 (+.f64 (*.f64 (pow.f64 x 4) -1/12) (/.f64 (pow.f64 x 2) -2)) (/.f64 (pow.f64 x 2) 2))) |
(-.f64 (*.f64 1/12 (pow.f64 x 4)) (neg.f64 (pow.f64 x 2))) |
(-.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) -2) (/.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) 2))) |
(-.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 x 4) 1/6) 4))) |
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 0) |
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) -2) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 2))) |
(-.f64 0 (-.f64 (*.f64 (pow.f64 x 4) -1/12) (pow.f64 x 2))) |
(-.f64 0 (+.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) (neg.f64 (*.f64 (pow.f64 x 4) 1/6)))) |
(-.f64 0 (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) (*.f64 (pow.f64 x 2) -2))) |
(-.f64 (*.f64 (pow.f64 x 4) -1/12) (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/6))) |
(-.f64 (*.f64 (pow.f64 x 4) 1/6) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) |
(-.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12))) |
(-.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) 0)) |
(-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 2))) (pow.f64 x 2)) |
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 1/6)) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 1/6)) (+.f64 (/.f64 (pow.f64 x 2) -2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (/.f64 (pow.f64 x 2) 2)))) |
(-.f64 (*.f64 (pow.f64 x 4) 1/3) (+.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/6))) |
(-.f64 (pow.f64 (+.f64 x x) 2) (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) (*.f64 2 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/6) (*.f64 2 (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) |
(-.f64 (/.f64 (pow.f64 x 2) 2) (+.f64 (*.f64 (pow.f64 x 4) -1/12) (/.f64 (pow.f64 x 2) -2))) |
(-.f64 (/.f64 (pow.f64 x 2) 2) (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) (*.f64 (/.f64 (pow.f64 x 2) 2) -3))) |
(-.f64 (/.f64 (pow.f64 x 2) 2) (+.f64 (/.f64 (pow.f64 x 2) -2) (*.f64 (pow.f64 x 4) -1/12))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/6) 4) (-.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2) (pow.f64 x 2))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/6) 4) (+.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2) (neg.f64 (pow.f64 x 2)))) |
(-.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 2) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) -2)) |
(-.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) (*.f64 (pow.f64 x 2) -2)) |
(-.f64 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 (*.f64 1/12 (pow.f64 x 4)) -3)) 2) (/.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) 2)) |
(-.f64 (*.f64 (/.f64 (pow.f64 x 2) 2) 3) (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) (/.f64 (pow.f64 x 2) -2))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) 2) (-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/6) 4) (pow.f64 x 2))) |
(-.f64 (*.f64 (pow.f64 x 4) 1/4) (+.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/6) 4) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 x 4) 1/4) 2))) |
(-.f64 (+.f64 (pow.f64 x 2) (/.f64 (*.f64 (pow.f64 x 4) 1/6) 4)) (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2)) |
(-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (/.f64 (pow.f64 x 2) 2)) (/.f64 (pow.f64 x 2) -2)) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/3)) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 1/12 (pow.f64 x 4)) -3))) |
(-.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4) (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 2) -3) 2)) |
(-.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4) (*.f64 -3 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4))) |
(-.f64 (+.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) 4) (/.f64 (*.f64 (pow.f64 x 4) 1/6) 4)) (-.f64 (neg.f64 (pow.f64 x 2)) (/.f64 (*.f64 1/12 (pow.f64 x 4)) 4))) |
(-.f64 (+.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 2)) (neg.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 2)) (-.f64 (*.f64 (pow.f64 x 4) -1/12) (/.f64 (pow.f64 x 2) 4))) |
(-.f64 (-.f64 (/.f64 (pow.f64 x 2) 2) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12))) (*.f64 (/.f64 (pow.f64 x 2) 2) -3)) |
(-.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/6) 4) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) -2)) (/.f64 (pow.f64 x 2) -2)) |
(-.f64 (neg.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) (neg.f64 (*.f64 (pow.f64 x 4) 1/6))) |
(-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 (*.f64 1/12 (pow.f64 x 4)) -3)) 2) 2) (/.f64 (+.f64 (*.f64 (/.f64 (pow.f64 x 2) 2) -3) (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2)) 2)) |
(-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 3) 4) (/.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/12) (pow.f64 x 2)) 4)) |
(-.f64 (/.f64 (*.f64 3 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 2)) 2) (/.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) -2) 2)) |
(-.f64 (/.f64 (+.f64 (pow.f64 x 2) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 2)) 2) (/.f64 (-.f64 (/.f64 (pow.f64 x 2) -2) (/.f64 (*.f64 (pow.f64 x 4) 1/4) 2)) 2)) |
(-.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/6) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 2)) 2) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) 2) (pow.f64 x 2)) 2)) |
(-.f64 (+.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4) (*.f64 1/12 (pow.f64 x 4))) (-.f64 (/.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) 2) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4))) |
(-.f64 (+.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4) (/.f64 (pow.f64 x 2) 2)) (-.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4))) |
(-.f64 (+.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4) (/.f64 (*.f64 (pow.f64 x 4) 1/6) 4)) (-.f64 (/.f64 (pow.f64 x 2) -2) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4))) |
(-.f64 (+.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) (+.f64 (*.f64 (pow.f64 x 2) -2) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))) |
(-.f64 (+.f64 (+.f64 (pow.f64 x 2) (/.f64 (*.f64 (pow.f64 x 4) 1/4) 2)) (+.f64 (pow.f64 x 2) (/.f64 (*.f64 (pow.f64 x 4) 1/4) 2))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 1/6))) |
(*.f64 2 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 2)) |
(*.f64 2 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1/2)) |
(*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1) |
(*.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) |
(*.f64 -1 (-.f64 (*.f64 (pow.f64 x 4) -1/12) (pow.f64 x 2))) |
(*.f64 -2 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) -2)) |
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 4) 1/6) (*.f64 2 (pow.f64 x 2)))) |
(*.f64 1/2 (-.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/3)) (*.f64 (pow.f64 x 4) 1/6))) |
(*.f64 1/2 (-.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/6) (*.f64 (pow.f64 x 2) -2)) (*.f64 (pow.f64 x 2) -4))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/12) (pow.f64 x 2)) -1) |
(*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2)) 1/4) |
(*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/6) (*.f64 2 (pow.f64 x 2))) 1/2) |
(*.f64 1/4 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2))) |
(*.f64 1/4 (-.f64 (-.f64 (*.f64 2 (*.f64 (pow.f64 x 4) 1/3)) (*.f64 (pow.f64 x 2) -4)) (*.f64 (pow.f64 x 4) 1/3))) |
(*.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2))) 1/8) |
(*.f64 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1/2) 2) |
(*.f64 1/8 (*.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2)))) |
(/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/12) (pow.f64 x 2)) -1) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2)) 4) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/6) (*.f64 2 (pow.f64 x 2))) 2) |
(/.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2))) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 x 4) 1/3)) (*.f64 2 (pow.f64 (+.f64 x x) 2))) 8) |
(/.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2))) (*.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2)))) 16) |
(/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 x x) 2)) (*.f64 2 (*.f64 (pow.f64 x 4) 1/3))) 8) |
(pow.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1) |
(neg.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/12) (pow.f64 x 2))) |
(neg.f64 (+.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) (neg.f64 (*.f64 (pow.f64 x 4) 1/6)))) |
(neg.f64 (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) (*.f64 (pow.f64 x 2) -2))) |
| Outputs |
|---|
(pow.f64 x 2) |
(*.f64 1/12 (pow.f64 x 4)) |
(*.f64 1/12 (pow.f64 x 4)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (pow.f64 x 2) (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) (neg.f64 (pow.f64 x 2)))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (pow.f64 x 2) (+.f64 (+.f64 (*.f64 (pow.f64 x 4) -1/12) (/.f64 (pow.f64 x 2) -2)) (/.f64 (pow.f64 x 2) 2))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (*.f64 1/12 (pow.f64 x 4)) (neg.f64 (pow.f64 x 2))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) -2) (/.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) 2))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 x 4) 1/6) 4))) |
(-.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2) (pow.f64 x 2)) (/.f64 (*.f64 1/12 (pow.f64 x 4)) 2))) |
(+.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) 2) (neg.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/6) -4) (pow.f64 x 2)))) |
(+.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/6) -1/4) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 (pow.f64 x 4) -2/3) 3/16))) |
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 0) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) -2) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 2))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 0 (-.f64 (*.f64 (pow.f64 x 4) -1/12) (pow.f64 x 2))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 0 (+.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) (neg.f64 (*.f64 (pow.f64 x 4) 1/6)))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 0 (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) (*.f64 (pow.f64 x 2) -2))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (*.f64 (pow.f64 x 4) -1/12) (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/6))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (*.f64 (pow.f64 x 4) 1/6) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) 0)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 2))) (pow.f64 x 2)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 1/6)) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 1/6)) (+.f64 (/.f64 (pow.f64 x 2) -2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (/.f64 (pow.f64 x 2) 2)))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (*.f64 (pow.f64 x 4) 1/3) (+.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/6))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (pow.f64 (+.f64 x x) 2) (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) (*.f64 2 (pow.f64 x 2)))) |
(-.f64 (pow.f64 (+.f64 x x) 2) (+.f64 (*.f64 (pow.f64 x 4) -1/12) (+.f64 (pow.f64 x 2) (*.f64 2 (pow.f64 x 2))))) |
(-.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (-.f64 (*.f64 2 (pow.f64 x 2)) (pow.f64 (+.f64 x x) 2)) (pow.f64 x 2))) |
(-.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/6) (*.f64 2 (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (/.f64 (pow.f64 x 2) 2) (+.f64 (*.f64 (pow.f64 x 4) -1/12) (/.f64 (pow.f64 x 2) -2))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (/.f64 (pow.f64 x 2) 2) (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) (*.f64 (/.f64 (pow.f64 x 2) 2) -3))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (/.f64 (pow.f64 x 2) 2) (+.f64 (/.f64 (pow.f64 x 2) -2) (*.f64 (pow.f64 x 4) -1/12))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/6) 4) (-.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2) (pow.f64 x 2))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/6) 4) (+.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2) (neg.f64 (pow.f64 x 2)))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 2) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) -2)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) (*.f64 (pow.f64 x 2) -2)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 (*.f64 1/12 (pow.f64 x 4)) -3)) 2) (/.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) 2)) |
(/.f64 (-.f64 (-.f64 (pow.f64 x 2) (*.f64 (*.f64 1/12 (pow.f64 x 4)) -3)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) 2) |
(/.f64 (-.f64 (-.f64 (pow.f64 x 2) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) (*.f64 (pow.f64 x 4) -1/4)) 2) |
(/.f64 (-.f64 (pow.f64 x 2) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 1/4)))) 2) |
(-.f64 (*.f64 (/.f64 (pow.f64 x 2) 2) 3) (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) (/.f64 (pow.f64 x 2) -2))) |
(-.f64 (*.f64 (pow.f64 x 2) 3/2) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 4) -1/12) (/.f64 (pow.f64 x 2) -2)))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (-.f64 (*.f64 (pow.f64 x 2) 3/2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) 2))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (-.f64 (*.f64 (pow.f64 x 2) 3/2) (pow.f64 x 2)) (*.f64 (pow.f64 x 2) 1/2))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) 2) (-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/6) 4) (pow.f64 x 2))) |
(-.f64 (pow.f64 x 2) (/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/6) (*.f64 (pow.f64 x 4) 1/2)) 4)) |
(-.f64 (pow.f64 x 2) (/.f64 (*.f64 (pow.f64 x 4) -1/3) 4)) |
(-.f64 (*.f64 (pow.f64 x 4) 1/4) (+.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/6) 4) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 x 4) 1/4) 2))) |
(-.f64 (*.f64 (pow.f64 x 4) 1/4) (+.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) 2) (-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/6) 4) (pow.f64 x 2)))) |
(-.f64 (*.f64 (pow.f64 x 4) 1/4) (+.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) 2) (-.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) 2) (pow.f64 x 2)))) |
(+.f64 (*.f64 1 (/.f64 (*.f64 (pow.f64 x 4) 1/4) 2)) (neg.f64 (-.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) 2) (pow.f64 x 2)))) |
(+.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2) (neg.f64 (-.f64 (*.f64 (*.f64 1/12 (pow.f64 x 4)) 1/2) (pow.f64 x 2)))) |
(-.f64 (+.f64 (pow.f64 x 2) (/.f64 (*.f64 (pow.f64 x 4) 1/6) 4)) (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2)) |
(-.f64 (+.f64 (pow.f64 x 2) (/.f64 (*.f64 1/12 (pow.f64 x 4)) 2)) (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2)) |
(-.f64 (+.f64 (pow.f64 x 2) (/.f64 (*.f64 1/12 (pow.f64 x 4)) 2)) (/.f64 (*.f64 (pow.f64 x 4) 1/6) -4)) |
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 (*.f64 1/12 (pow.f64 x 4)) 1/2)) (*.f64 (*.f64 (pow.f64 x 4) 1/6) -1/4)) |
(-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (/.f64 (pow.f64 x 2) 2)) (/.f64 (pow.f64 x 2) -2)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/3)) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 1/12 (pow.f64 x 4)) -3))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4) (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 2) -3) 2)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4) (*.f64 -3 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) 4) (/.f64 (*.f64 (pow.f64 x 4) 1/6) 4)) (-.f64 (neg.f64 (pow.f64 x 2)) (/.f64 (*.f64 1/12 (pow.f64 x 4)) 4))) |
(-.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) 4) (-.f64 (neg.f64 (pow.f64 x 2)) (/.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 (pow.f64 x 4) 1/6)) 4))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) 4) (-.f64 (neg.f64 (pow.f64 x 2)) (/.f64 (*.f64 1/12 (pow.f64 x 4)) 4))) |
(-.f64 (pow.f64 x 2) (-.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) -4) (/.f64 (*.f64 (pow.f64 x 4) 1/4) 4))) |
(-.f64 (+.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 2)) (neg.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 2)) (-.f64 (*.f64 (pow.f64 x 4) -1/12) (/.f64 (pow.f64 x 2) 4))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) (/.f64 (pow.f64 x 2) 4)) (-.f64 (*.f64 (pow.f64 x 4) -1/12) (/.f64 (pow.f64 x 2) 4))) |
(-.f64 (/.f64 (pow.f64 x 2) 4) (-.f64 (*.f64 (pow.f64 x 4) -1/12) (+.f64 (/.f64 (pow.f64 x 2) 2) (/.f64 (pow.f64 x 2) 4)))) |
(+.f64 (-.f64 (/.f64 (pow.f64 x 2) 4) (-.f64 (*.f64 (pow.f64 x 4) -1/12) (/.f64 (pow.f64 x 2) 4))) (/.f64 (pow.f64 x 2) 2)) |
(+.f64 (-.f64 (/.f64 (pow.f64 x 2) 4) (-.f64 (*.f64 (pow.f64 x 4) -1/12) (/.f64 (pow.f64 x 2) 4))) (*.f64 (pow.f64 x 2) 1/2)) |
(-.f64 (-.f64 (/.f64 (pow.f64 x 2) 2) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12))) (*.f64 (/.f64 (pow.f64 x 2) 2) -3)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/6) 4) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) -2)) (/.f64 (pow.f64 x 2) -2)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (neg.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) (neg.f64 (*.f64 (pow.f64 x 4) 1/6))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 (*.f64 1/12 (pow.f64 x 4)) -3)) 2) 2) (/.f64 (+.f64 (*.f64 (/.f64 (pow.f64 x 2) 2) -3) (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2)) 2)) |
(-.f64 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 (*.f64 1/12 (pow.f64 x 4)) -3)) 4) (/.f64 (+.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2) (*.f64 (/.f64 (pow.f64 x 2) 2) -3)) 2)) |
(-.f64 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/4)) 4) (+.f64 (/.f64 (*.f64 (pow.f64 x 2) -3/2) 2) (/.f64 (*.f64 1/12 (pow.f64 x 4)) -4))) |
(-.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 1/4)) 4) (/.f64 (+.f64 (*.f64 -3 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) -1/12)) 4)) |
(+.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (pow.f64 x 2) -3)) 4) (/.f64 (*.f64 (pow.f64 x 4) 1/6) 8)) |
(-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 3) 4) (/.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/12) (pow.f64 x 2)) 4)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (/.f64 (*.f64 3 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 2)) 2) (/.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) -2) 2)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (/.f64 (+.f64 (pow.f64 x 2) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 2)) 2) (/.f64 (-.f64 (/.f64 (pow.f64 x 2) -2) (/.f64 (*.f64 (pow.f64 x 4) 1/4) 2)) 2)) |
(/.f64 (-.f64 (+.f64 (pow.f64 x 2) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 2)) (-.f64 (/.f64 (pow.f64 x 2) -2) (/.f64 (*.f64 (pow.f64 x 4) 1/4) 2))) 2) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4)) (-.f64 (/.f64 (pow.f64 x 2) -4) (/.f64 (*.f64 (pow.f64 x 4) 1/4) 4))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4)) (/.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/4)) 4)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) 4) (+.f64 (*.f64 3 (/.f64 (pow.f64 x 2) -4)) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) -1/4))) |
(-.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/6) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 2)) 2) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) 2) (pow.f64 x 2)) 2)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4) (*.f64 1/12 (pow.f64 x 4))) (-.f64 (/.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) 2) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4) (/.f64 (pow.f64 x 2) 2)) (-.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4) (/.f64 (*.f64 (pow.f64 x 4) 1/6) 4)) (-.f64 (/.f64 (pow.f64 x 2) -2) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 4))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (+.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) (+.f64 (*.f64 (pow.f64 x 2) -2) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (+.f64 (+.f64 (pow.f64 x 2) (/.f64 (*.f64 (pow.f64 x 4) 1/4) 2)) (+.f64 (pow.f64 x 2) (/.f64 (*.f64 (pow.f64 x 4) 1/4) 2))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 1/6))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) 2) (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) (/.f64 (*.f64 (pow.f64 x 4) 1/4) 2)))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 1/6))) |
(+.f64 (-.f64 (+.f64 (pow.f64 x 2) (/.f64 (*.f64 (pow.f64 x 4) 1/4) 2)) (*.f64 (pow.f64 x 4) 1/6)) (-.f64 (+.f64 (pow.f64 x 2) (/.f64 (*.f64 (pow.f64 x 4) 1/4) 2)) (pow.f64 x 2))) |
(+.f64 (*.f64 (pow.f64 x 4) -1/6) (-.f64 (+.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 x 4) 1/2) 2)) (pow.f64 x 2))) |
(+.f64 (*.f64 (pow.f64 x 4) -1/6) (-.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 x 4) 1/2) 2)) (pow.f64 x 2))) |
(*.f64 2 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 2)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(*.f64 2 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1/2)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(*.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(*.f64 -1 (-.f64 (*.f64 (pow.f64 x 4) -1/12) (pow.f64 x 2))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(*.f64 -2 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) -2)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 4) 1/6) (*.f64 2 (pow.f64 x 2)))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(*.f64 1/2 (-.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/3)) (*.f64 (pow.f64 x 4) 1/6))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(*.f64 1/2 (-.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/6) (*.f64 (pow.f64 x 2) -2)) (*.f64 (pow.f64 x 2) -4))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/12) (pow.f64 x 2)) -1) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2)) 1/4) |
(*.f64 1/4 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2))) |
(*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/6) (*.f64 2 (pow.f64 x 2))) 1/2) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(*.f64 1/4 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2))) |
(*.f64 1/4 (-.f64 (-.f64 (*.f64 2 (*.f64 (pow.f64 x 4) 1/3)) (*.f64 (pow.f64 x 2) -4)) (*.f64 (pow.f64 x 4) 1/3))) |
(*.f64 1/4 (-.f64 (-.f64 (*.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 4) 1/3)) (*.f64 (pow.f64 x 2) -4))) |
(*.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 2/3) (+.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 (pow.f64 x 2) -4)))) |
(*.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2))) 1/8) |
(*.f64 1/4 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2))) |
(*.f64 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1/2) 2) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(*.f64 1/8 (*.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2)))) |
(*.f64 1/4 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2))) |
(/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/12) (pow.f64 x 2)) -1) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2)) 4) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (/.f64 (pow.f64 (+.f64 x x) 2) 4)) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/6) (*.f64 2 (pow.f64 x 2))) 2) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(/.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2))) 8) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 2/3) (*.f64 2 (pow.f64 (+.f64 x x) 2))) 8) |
(-.f64 (/.f64 (*.f64 2 (pow.f64 (+.f64 x x) 2)) 8) (*.f64 (pow.f64 x 4) -1/12)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 x 4) 1/3)) (*.f64 2 (pow.f64 (+.f64 x x) 2))) 8) |
(/.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2))) 8) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 2/3) (*.f64 2 (pow.f64 (+.f64 x x) 2))) 8) |
(-.f64 (/.f64 (*.f64 2 (pow.f64 (+.f64 x x) 2)) 8) (*.f64 (pow.f64 x 4) -1/12)) |
(/.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2))) (*.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2)))) 16) |
(/.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2))) 8) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 2/3) (*.f64 2 (pow.f64 (+.f64 x x) 2))) 8) |
(-.f64 (/.f64 (*.f64 2 (pow.f64 (+.f64 x x) 2)) 8) (*.f64 (pow.f64 x 4) -1/12)) |
(/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 x x) 2)) (*.f64 2 (*.f64 (pow.f64 x 4) 1/3))) 8) |
(/.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 (+.f64 x x) 2))) 8) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 2/3) (*.f64 2 (pow.f64 (+.f64 x x) 2))) 8) |
(-.f64 (/.f64 (*.f64 2 (pow.f64 (+.f64 x x) 2)) 8) (*.f64 (pow.f64 x 4) -1/12)) |
(pow.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(neg.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/12) (pow.f64 x 2))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(neg.f64 (+.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) (neg.f64 (*.f64 (pow.f64 x 4) 1/6)))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(neg.f64 (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) (*.f64 (pow.f64 x 2) -2))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
Compiled 10876 to 8262 computations (24% saved)
14 alts after pruning (7 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 542 | 5 | 547 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 542 | 14 | 556 |
| Status | Error | Program |
|---|---|---|
| ✓ | 1.1b | (pow.f64 x 2) |
| ▶ | 29.4b | (-.f64 (-.f64 (exp.f64 x) 2) (/.f64 -1 (exp.f64 x))) |
| ✓ | 29.5b | (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
| ▶ | 30.1b | (-.f64 (+.f64 2 (pow.f64 x 2)) 2) |
| ▶ | 31.2b | (-.f64 2 2) |
| ✓ | 0.2b | (+.f64 (pow.f64 x 2) (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 1/360 (pow.f64 x 6)))) |
| ▶ | 0.3b | (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) |
| ✓ | 0.5b | (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
| ✓ | 29.5b | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| ▶ | 60.1b | (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) |
| ✓ | 29.4b | (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) |
| ✓ | 31.0b | (+.f64 (exp.f64 x) -1) |
| 28.2b | (*.f64 (-.f64 1 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) -1)) | |
| 60.1b | x |
Compiled 184 to 147 computations (20.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) |
| ✓ | 0.0b | (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
| 0.1b | (*.f64 1/360 (pow.f64 x 6)) | |
| 0.1b | (*.f64 1/12 (pow.f64 x 4)) |
Compiled 52 to 41 computations (21.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
| 0.0ms | x | @ | inf | (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
| 0.0ms | x | @ | -inf | (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) |
| 0.0ms | x | @ | 0 | (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) |
| 1× | batch-egg-rewrite |
| 1296× | rational_best-simplify-51 |
| 872× | rational_best-simplify-63 |
| 820× | rational_best-4 |
| 820× | rational_best-2 |
| 820× | rational_best-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 74 |
| 1 | 101 | 74 |
| 2 | 192 | 74 |
| 3 | 473 | 74 |
| 4 | 1943 | 74 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1280× | rational_best-simplify-57 |
| 870× | rational_best-simplify-3 |
| 864× | rational_best-simplify-47 |
| 628× | rational_best-simplify-59 |
| 592× | rational_best-simplify-65 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 379 | 7683 |
| 1 | 975 | 7683 |
| 2 | 2477 | 7591 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/12 (pow.f64 x 4)) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))) |
(*.f64 1/360 (pow.f64 x 6)) |
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(-.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (/.f64 (*.f64 1/12 (pow.f64 x 4)) 2)) (+.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2) (neg.f64 (pow.f64 x 2)))) |
(-.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/180) (neg.f64 (pow.f64 x 2))) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 (pow.f64 x 4) -1/12))) |
(-.f64 (/.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) 2) (-.f64 (*.f64 (pow.f64 x 6) -1/360) (/.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) 2))) |
(-.f64 (neg.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 (pow.f64 x 4) -1/12))) (-.f64 (neg.f64 (*.f64 (pow.f64 x 6) 1/180)) (pow.f64 x 2))) |
(-.f64 (-.f64 (*.f64 1/360 (pow.f64 x 6)) (/.f64 (pow.f64 x 2) -2)) (-.f64 (*.f64 (pow.f64 x 4) -1/12) (/.f64 (pow.f64 x 2) 2))) |
(-.f64 (-.f64 (*.f64 1/360 (pow.f64 x 6)) (/.f64 (pow.f64 x 2) -2)) (+.f64 (/.f64 (pow.f64 x 2) -2) (*.f64 (pow.f64 x 4) -1/12))) |
(-.f64 (-.f64 (pow.f64 x 2) (/.f64 (*.f64 1/360 (pow.f64 x 6)) -2)) (/.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/6) (*.f64 1/360 (pow.f64 x 6))) 2)) |
(-.f64 (-.f64 (pow.f64 x 2) (/.f64 (*.f64 1/360 (pow.f64 x 6)) -2)) (+.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) -2) (*.f64 (pow.f64 x 4) -1/12))) |
(-.f64 (-.f64 (pow.f64 x 2) (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2)) (-.f64 (*.f64 (pow.f64 x 6) -1/360) (/.f64 (*.f64 1/12 (pow.f64 x 4)) 2))) |
(-.f64 (-.f64 (pow.f64 x 2) (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2)) (+.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2) (*.f64 (pow.f64 x 6) -1/360))) |
(-.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (/.f64 (pow.f64 x 2) -2)) (-.f64 (*.f64 (pow.f64 x 6) -1/360) (/.f64 (pow.f64 x 2) 2))) |
(-.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (/.f64 (pow.f64 x 2) -2)) (+.f64 (/.f64 (pow.f64 x 2) -2) (*.f64 (pow.f64 x 6) -1/360))) |
(-.f64 (-.f64 (*.f64 1/360 (pow.f64 x 6)) (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2)) (-.f64 (neg.f64 (pow.f64 x 2)) (/.f64 (*.f64 1/12 (pow.f64 x 4)) 2))) |
(-.f64 (-.f64 (*.f64 1/360 (pow.f64 x 6)) (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2)) (+.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2) (neg.f64 (pow.f64 x 2)))) |
(-.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (/.f64 (*.f64 1/360 (pow.f64 x 6)) -2)) (-.f64 (neg.f64 (pow.f64 x 2)) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2))) |
(-.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (/.f64 (*.f64 1/360 (pow.f64 x 6)) -2)) (+.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) -2) (neg.f64 (pow.f64 x 2)))) |
(-.f64 (-.f64 (pow.f64 x 2) (/.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) -2)) (/.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) -2)) |
(-.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/180) (/.f64 (pow.f64 x 2) 2)) (-.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 (pow.f64 x 4) -1/12)) (/.f64 (pow.f64 x 2) 2))) |
(-.f64 (-.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)) (-.f64 (*.f64 (pow.f64 x 2) -2) (*.f64 1/12 (pow.f64 x 4)))) |
(-.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) (-.f64 (*.f64 (pow.f64 x 2) -2) (*.f64 1/360 (pow.f64 x 6)))) |
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) (-.f64 (*.f64 (pow.f64 x 4) -1/6) (*.f64 1/360 (pow.f64 x 6)))) |
(-.f64 (-.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) 2) (-.f64 (*.f64 (pow.f64 x 6) -1/360) (pow.f64 x 2))) (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2)) |
(-.f64 (-.f64 (/.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) 2) (*.f64 (pow.f64 x 6) -1/360)) (-.f64 0 (/.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) 2))) |
(-.f64 (-.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2) (/.f64 (pow.f64 x 2) -2)) (-.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/12) (/.f64 (pow.f64 x 2) 2)) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2))) |
(-.f64 (-.f64 (/.f64 (pow.f64 x 2) 2) (/.f64 (*.f64 1/360 (pow.f64 x 6)) -2)) (-.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/6) (*.f64 1/360 (pow.f64 x 6))) 2) (/.f64 (pow.f64 x 2) 2))) |
(-.f64 (-.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2) (-.f64 1 (pow.f64 x 2))) (-.f64 (-.f64 -1 (*.f64 1/12 (pow.f64 x 4))) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2))) |
(-.f64 (-.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2) (-.f64 1 (*.f64 1/12 (pow.f64 x 4)))) (-.f64 (-.f64 -1 (pow.f64 x 2)) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2))) |
(-.f64 (-.f64 (/.f64 (pow.f64 x 2) 2) (-.f64 1 (*.f64 1/360 (pow.f64 x 6)))) (-.f64 (-.f64 -1 (*.f64 1/12 (pow.f64 x 4))) (/.f64 (pow.f64 x 2) 2))) |
(-.f64 (-.f64 (/.f64 (pow.f64 x 2) 2) (-.f64 1 (*.f64 1/12 (pow.f64 x 4)))) (-.f64 (-.f64 -1 (*.f64 1/360 (pow.f64 x 6))) (/.f64 (pow.f64 x 2) 2))) |
(-.f64 (-.f64 (pow.f64 x 2) (pow.f64 x 2)) (-.f64 (*.f64 (pow.f64 x 4) -1/12) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) |
(-.f64 (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (-.f64 (*.f64 (pow.f64 x 4) -1/12) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) |
(*.f64 2 (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))) 1/2)) |
(*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))) 1) |
(*.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) |
(*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/180) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/6))) 1/2) |
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 6) 1/180) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/6)))) |
(*.f64 1/2 (-.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 6) 1/180)) (*.f64 (pow.f64 x 4) -1/6))) |
(*.f64 (+.f64 (*.f64 (pow.f64 x 2) 4) (+.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 (pow.f64 x 6) 1/90))) 1/4) |
(*.f64 1/4 (+.f64 (*.f64 (pow.f64 x 2) 4) (+.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 (pow.f64 x 6) 1/90)))) |
(*.f64 1/4 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 (pow.f64 x 6) 1/90)) (pow.f64 (+.f64 x x) 2))) |
(*.f64 1/4 (+.f64 (pow.f64 (+.f64 x x) 2) (+.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 (pow.f64 x 6) 1/90)))) |
(*.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/180) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/6))) 4) 1/8) |
(/.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))) 1) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/180) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/6))) 2) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 2) 4) (+.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 (pow.f64 x 6) 1/90))) 4) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/180) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/6))) 4) 8) |
(/.f64 (-.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 6) 1/180)) (*.f64 (pow.f64 x 4) -1/6)) 2) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/180) (-.f64 (*.f64 (pow.f64 x 4) -1/6) (*.f64 2 (pow.f64 x 2)))) 2) |
(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 (pow.f64 x 6) 1/90)) (neg.f64 (*.f64 (pow.f64 x 2) 4))) 4) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 4) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 (pow.f64 x 6) 1/90)))) 4) |
(/.f64 (-.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/6)) (neg.f64 (*.f64 (pow.f64 x 6) 1/180))) 2) |
(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x 4) 1/3)) (neg.f64 (*.f64 (pow.f64 x 6) 1/90))) 4) |
(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x 6) 1/90)) (neg.f64 (*.f64 (pow.f64 x 4) 1/3))) 4) |
(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x 6) 1/90)) (*.f64 2 (*.f64 (pow.f64 x 4) -1/6))) 4) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)) 4) (neg.f64 (*.f64 (pow.f64 x 4) 1/3))) 4) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)) 4) (*.f64 2 (*.f64 (pow.f64 x 4) -1/6))) 4) |
(pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))) 1) |
(neg.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/12) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) |
| Outputs |
|---|
(*.f64 1/12 (pow.f64 x 4)) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(*.f64 1/360 (pow.f64 x 6)) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(*.f64 1/360 (pow.f64 x 6)) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.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 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.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 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))) |
(*.f64 1/360 (pow.f64 x 6)) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.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 1/12 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.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 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))) |
(*.f64 1/360 (pow.f64 x 6)) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))) |
(+.f64 (*.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 1/12 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.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 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))) |
(-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 (pow.f64 x 6) -1/360)) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(-.f64 (*.f64 1/12 (pow.f64 x 4)) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 (pow.f64 x 6) 1/180))) |
(+.f64 (*.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 4) -1/12)) |
(-.f64 (*.f64 1/360 (pow.f64 x 6)) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) 0) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(-.f64 0 (+.f64 (*.f64 (pow.f64 x 4) -1/12) (*.f64 (pow.f64 x 6) -1/360))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(-.f64 (*.f64 (pow.f64 x 6) 1/180) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 (pow.f64 x 4) -1/12))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(-.f64 (*.f64 (pow.f64 x 4) 1/6) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 (pow.f64 x 6) -1/360))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(-.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2) (/.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/6) (*.f64 1/360 (pow.f64 x 6))) 2)) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(-.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2) (-.f64 0 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2)))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(-.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2) (+.f64 (/.f64 (*.f64 1/360 (pow.f64 x 6)) -2) (*.f64 (pow.f64 x 4) -1/12))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(-.f64 (/.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) 2) (/.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) -2)) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(-.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) 2) (-.f64 (*.f64 (pow.f64 x 6) -1/360) (/.f64 (*.f64 1/12 (pow.f64 x 4)) 2))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(-.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) 2) (-.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2) (*.f64 1/360 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(-.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) 2) (-.f64 0 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (/.f64 (*.f64 1/12 (pow.f64 x 4)) 2)))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(-.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) 2) (+.f64 (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2) (*.f64 (pow.f64 x 6) -1/360))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 (pow.f64 x 4) -1/12)) (*.f64 (pow.f64 x 4) -1/6)) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (/.f64 (*.f64 1/360 (pow.f64 x 6)) 2)) (/.f64 (*.f64 1/360 (pow.f64 x 6)) -2)) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (/.f64 (*.f64 1/12 (pow.f64 x 4)) 2)) (/.f64 (*.f64 1/12 (pow.f64 x 4)) -2)) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) |
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(neg.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/12) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) |
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))) |
Compiled 5 to 5 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) |
| ✓ | 0.0b | (*.f64 1/2 (pow.f64 x 2)) |
Compiled 19 to 14 computations (26.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 1/2 (pow.f64 x 2)) |
| 0.0ms | x | @ | 0 | (*.f64 1/2 (pow.f64 x 2)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) |
| 1× | batch-egg-rewrite |
| 1622× | rational_best-4 |
| 1622× | rational_best-2 |
| 1622× | rational_best-3 |
| 1622× | rational_best-1 |
| 1622× | exponential-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 52 | 32 |
| 2 | 95 | 32 |
| 3 | 225 | 32 |
| 4 | 704 | 32 |
| 5 | 4279 | 32 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 x 2) 8) (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 (*.f64 (pow.f64 x 2) 3/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 (*.f64 (pow.f64 x 2) 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 8)) (/.f64 (pow.f64 x 2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2) 2) (/.f64 (pow.f64 x 2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 4) (/.f64 (pow.f64 x 2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 x 2) 3) 8) (/.f64 (pow.f64 x 2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 (-.f64 0 (*.f64 (pow.f64 x 2) 3/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 8)) (-.f64 0 (/.f64 (pow.f64 x 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2) 2) (/.f64 (/.f64 (pow.f64 x 2) -4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 4) (/.f64 (*.f64 (pow.f64 x 2) -1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 2) 3) 8) (/.f64 (neg.f64 (pow.f64 x 2)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 2) -1/2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 (pow.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (+.f64 (neg.f64 x) (-.f64 x (*.f64 1/2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (pow.f64 x 2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 2) -1/2) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (neg.f64 (pow.f64 x 2)) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (*.f64 x -2) (-.f64 x (*.f64 1/2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) (-.f64 x (*.f64 1/2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4)) (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 2) 4) (-.f64 (/.f64 (pow.f64 x 2) -4) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 2) 4) (neg.f64 (-.f64 x (/.f64 (pow.f64 x 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 2) (/.f64 (-.f64 (neg.f64 (pow.f64 x 2)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 2) (neg.f64 (/.f64 (+.f64 x (pow.f64 x 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 2) (/.f64 (-.f64 0 (+.f64 x (pow.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x (/.f64 x -2)) (+.f64 (/.f64 x -2) (-.f64 x (*.f64 1/2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2) (+.f64 (/.f64 (pow.f64 x 2) -4) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x (/.f64 (pow.f64 x 2) -4)) (/.f64 (pow.f64 x 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x (pow.f64 x 2)) 2) (/.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4)) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))) (-.f64 0 (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x 2) (/.f64 x 4)) (-.f64 (*.f64 (pow.f64 x 2) -1/2) (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 8)) (-.f64 (neg.f64 x) (/.f64 (pow.f64 x 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (*.f64 (pow.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (/.f64 (pow.f64 x 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x (-.f64 x (*.f64 1/2 (pow.f64 x 2)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 x (*.f64 1/2 (pow.f64 x 2)))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (-.f64 x (/.f64 x -2)) (-.f64 x (*.f64 1/2 (pow.f64 x 2)))) (/.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (pow.f64 x 2) 4) (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4))) (/.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 x 2) (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4))) (/.f64 (pow.f64 x 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4))) 2) (/.f64 (-.f64 (/.f64 x -2) (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (+.f64 x (pow.f64 x 2)) 2)) 2) (/.f64 (+.f64 (/.f64 x -2) (-.f64 (/.f64 (pow.f64 x 2) -4) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 3) 2) 2) (/.f64 (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 3) 4) (/.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 2))) (-.f64 (*.f64 (pow.f64 x 2) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x x) (-.f64 (*.f64 (pow.f64 x 2) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))) (-.f64 (/.f64 x -2) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x 2) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))) (-.f64 (/.f64 (pow.f64 x 2) -4) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x (+.f64 x (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) -2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 2 (*.f64 x 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4) (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x)))))) |
| 1× | egg-herbie |
| 882× | rational_best-simplify-52 |
| 808× | rational_best-simplify-48 |
| 696× | rational_best-simplify-63 |
| 592× | rational_best-simplify-47 |
| 528× | rational_best-simplify-50 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 1628 |
| 1 | 499 | 1624 |
| 2 | 1324 | 1616 |
| 3 | 6353 | 1598 |
| 1× | node limit |
| Inputs |
|---|
x |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) 0) |
(+.f64 0 (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 4)) |
(+.f64 (/.f64 (pow.f64 x 2) 8) (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 8))) |
(+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2) 2)) |
(+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 (*.f64 (pow.f64 x 2) 3/2) 4)) |
(+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 (*.f64 (pow.f64 x 2) 3) 8)) |
(+.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 8)) (/.f64 (pow.f64 x 2) 8)) |
(+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2) 2) (/.f64 (pow.f64 x 2) 8)) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 4) (/.f64 (pow.f64 x 2) 8)) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) 3) 8) (/.f64 (pow.f64 x 2) 8)) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 0) |
(-.f64 0 (*.f64 (pow.f64 x 2) -1/2)) |
(-.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) -4)) |
(-.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 (-.f64 0 (*.f64 (pow.f64 x 2) 3/2)) 4)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 8)) (-.f64 0 (/.f64 (pow.f64 x 2) 8))) |
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2) 2) (/.f64 (/.f64 (pow.f64 x 2) -4) 2)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 4) (/.f64 (*.f64 (pow.f64 x 2) -1/2) 4)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3) 8) (/.f64 (neg.f64 (pow.f64 x 2)) 8)) |
(/.f64 (pow.f64 x 2) 2) |
(/.f64 (*.f64 1/2 (pow.f64 x 2)) 1) |
(/.f64 (*.f64 (pow.f64 x 2) -1/2) -1) |
(/.f64 (*.f64 2 (pow.f64 x 2)) 4) |
(/.f64 (*.f64 (pow.f64 x 2) 4) 8) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 4)) 16) |
(pow.f64 (*.f64 1/2 (pow.f64 x 2)) 1) |
(neg.f64 (*.f64 (pow.f64 x 2) -1/2)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(-.f64 x (+.f64 (neg.f64 x) (-.f64 x (*.f64 1/2 (pow.f64 x 2))))) |
(-.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (neg.f64 x)) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 2) -1/2) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x))) |
(-.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 0) |
(-.f64 0 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x)) |
(-.f64 0 (+.f64 (neg.f64 (pow.f64 x 2)) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x))) |
(-.f64 0 (+.f64 (*.f64 x -2) (-.f64 x (*.f64 1/2 (pow.f64 x 2))))) |
(-.f64 (+.f64 x x) (-.f64 x (*.f64 1/2 (pow.f64 x 2)))) |
(-.f64 (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4)) (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4))) |
(-.f64 (/.f64 (pow.f64 x 2) 4) (-.f64 (/.f64 (pow.f64 x 2) -4) x)) |
(-.f64 (/.f64 (pow.f64 x 2) 4) (neg.f64 (-.f64 x (/.f64 (pow.f64 x 2) -4)))) |
(-.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x) x) 2)) |
(-.f64 (/.f64 x 2) (/.f64 (-.f64 (neg.f64 (pow.f64 x 2)) x) 2)) |
(-.f64 (/.f64 x 2) (neg.f64 (/.f64 (+.f64 x (pow.f64 x 2)) 2))) |
(-.f64 (/.f64 x 2) (/.f64 (-.f64 0 (+.f64 x (pow.f64 x 2))) 2)) |
(-.f64 (-.f64 x (/.f64 x -2)) (+.f64 (/.f64 x -2) (-.f64 x (*.f64 1/2 (pow.f64 x 2))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2) (+.f64 (/.f64 (pow.f64 x 2) -4) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x))) |
(-.f64 (-.f64 x (/.f64 (pow.f64 x 2) -4)) (/.f64 (pow.f64 x 2) -4)) |
(-.f64 (/.f64 (+.f64 x (pow.f64 x 2)) 2) (/.f64 x -2)) |
(-.f64 (+.f64 (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4)) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))) (-.f64 0 (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 x 2) (/.f64 x 4)) (-.f64 (*.f64 (pow.f64 x 2) -1/2) (/.f64 x 4))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 8)) (-.f64 (neg.f64 x) (/.f64 (pow.f64 x 2) 8))) |
(-.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (*.f64 (pow.f64 x 2) -1/2)) |
(-.f64 (-.f64 0 (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (neg.f64 (pow.f64 x 2))) |
(-.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (/.f64 (pow.f64 x 2) -4)) |
(-.f64 (-.f64 x (-.f64 x (*.f64 1/2 (pow.f64 x 2)))) (neg.f64 x)) |
(-.f64 (-.f64 0 (-.f64 x (*.f64 1/2 (pow.f64 x 2)))) (*.f64 x -2)) |
(-.f64 (-.f64 (-.f64 x (/.f64 x -2)) (-.f64 x (*.f64 1/2 (pow.f64 x 2)))) (/.f64 x -2)) |
(-.f64 (-.f64 (/.f64 (pow.f64 x 2) 4) (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4))) (/.f64 x -2)) |
(-.f64 (-.f64 (/.f64 x 2) (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4))) (/.f64 (pow.f64 x 2) -4)) |
(-.f64 (/.f64 (+.f64 x (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4))) 2) (/.f64 (-.f64 (/.f64 x -2) (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2)) 2)) |
(-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (+.f64 x (pow.f64 x 2)) 2)) 2) (/.f64 (+.f64 (/.f64 x -2) (-.f64 (/.f64 (pow.f64 x 2) -4) x)) 2)) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 3) 2) 2) (/.f64 (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4)) 2)) |
(-.f64 (/.f64 (*.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 3) 4) (/.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x) 4)) |
(-.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 2))) (-.f64 (*.f64 (pow.f64 x 2) -1/2) x)) |
(-.f64 (-.f64 x x) (-.f64 (*.f64 (pow.f64 x 2) -1/2) x)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))) (-.f64 (/.f64 x -2) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 x 2) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))) (-.f64 (/.f64 (pow.f64 x 2) -4) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4)))) |
(*.f64 1/2 (+.f64 x (+.f64 x (pow.f64 x 2)))) |
(*.f64 2 (*.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))) |
(*.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1) |
(*.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) |
(*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 1/2) |
(*.f64 1/4 (-.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) -2))) |
(*.f64 (-.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) -2)) 1/4) |
(*.f64 1/8 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4)) |
(*.f64 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4) 1/8) |
(*.f64 (*.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 2) |
(/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1) |
(/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2) |
(/.f64 (-.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) -2)) 4) |
(/.f64 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4) 8) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 2 (*.f64 x 4))) 8) |
(/.f64 (+.f64 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4) (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4)) 16) |
(pow.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1) |
(neg.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x)) |
| Outputs |
|---|
x |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) 0) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 0 (*.f64 1/2 (pow.f64 x 2))) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 4)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (/.f64 (pow.f64 x 2) 8) (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 8))) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2) 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 (*.f64 (pow.f64 x 2) 3/2) 4)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 (*.f64 (pow.f64 x 2) 3) 8)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 8)) (/.f64 (pow.f64 x 2) 8)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2) 2) (/.f64 (pow.f64 x 2) 8)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 4) (/.f64 (pow.f64 x 2) 8)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) 3) 8) (/.f64 (pow.f64 x 2) 8)) |
(*.f64 1/2 (pow.f64 x 2)) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 0) |
(*.f64 1/2 (pow.f64 x 2)) |
(-.f64 0 (*.f64 (pow.f64 x 2) -1/2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(-.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) -4)) |
(*.f64 1/2 (pow.f64 x 2)) |
(-.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 (-.f64 0 (*.f64 (pow.f64 x 2) 3/2)) 4)) |
(*.f64 1/2 (pow.f64 x 2)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 8)) (-.f64 0 (/.f64 (pow.f64 x 2) 8))) |
(*.f64 1/2 (pow.f64 x 2)) |
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2) 2) (/.f64 (/.f64 (pow.f64 x 2) -4) 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 4) (/.f64 (*.f64 (pow.f64 x 2) -1/2) 4)) |
(*.f64 1/2 (pow.f64 x 2)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3) 8) (/.f64 (neg.f64 (pow.f64 x 2)) 8)) |
(*.f64 1/2 (pow.f64 x 2)) |
(/.f64 (pow.f64 x 2) 2) |
(*.f64 1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 1/2 (pow.f64 x 2)) 1) |
(*.f64 1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 (pow.f64 x 2) -1/2) -1) |
(*.f64 1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (pow.f64 x 2)) 4) |
(*.f64 1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 (pow.f64 x 2) 4) 8) |
(*.f64 1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 4)) 16) |
(*.f64 1/2 (pow.f64 x 2)) |
(pow.f64 (*.f64 1/2 (pow.f64 x 2)) 1) |
(*.f64 1/2 (pow.f64 x 2)) |
(neg.f64 (*.f64 (pow.f64 x 2) -1/2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 x (+.f64 (neg.f64 x) (-.f64 x (*.f64 1/2 (pow.f64 x 2))))) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (neg.f64 x)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 2) -1/2) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x))) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 0) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 0 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 0 (+.f64 (neg.f64 (pow.f64 x 2)) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x))) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 0 (+.f64 (*.f64 x -2) (-.f64 x (*.f64 1/2 (pow.f64 x 2))))) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (+.f64 x x) (-.f64 x (*.f64 1/2 (pow.f64 x 2)))) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4)) (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4))) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (/.f64 (pow.f64 x 2) 4) (-.f64 (/.f64 (pow.f64 x 2) -4) x)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (/.f64 (pow.f64 x 2) 4) (neg.f64 (-.f64 x (/.f64 (pow.f64 x 2) -4)))) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x) x) 2)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (/.f64 x 2) (/.f64 (-.f64 (neg.f64 (pow.f64 x 2)) x) 2)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (/.f64 x 2) (neg.f64 (/.f64 (+.f64 x (pow.f64 x 2)) 2))) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (/.f64 x 2) (/.f64 (-.f64 0 (+.f64 x (pow.f64 x 2))) 2)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (-.f64 x (/.f64 x -2)) (+.f64 (/.f64 x -2) (-.f64 x (*.f64 1/2 (pow.f64 x 2))))) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2) (+.f64 (/.f64 (pow.f64 x 2) -4) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x))) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (-.f64 x (/.f64 (pow.f64 x 2) -4)) (/.f64 (pow.f64 x 2) -4)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (/.f64 (+.f64 x (pow.f64 x 2)) 2) (/.f64 x -2)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (+.f64 (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4)) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))) (-.f64 0 (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4)))) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 x 2) (/.f64 x 4)) (-.f64 (*.f64 (pow.f64 x 2) -1/2) (/.f64 x 4))) |
(-.f64 (/.f64 x 4) (+.f64 (*.f64 (+.f64 x (pow.f64 x 2)) -1/2) (/.f64 x -4))) |
(-.f64 (/.f64 x 4) (-.f64 (*.f64 (pow.f64 x 2) -1/2) (/.f64 (*.f64 x 3) 4))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 8)) (-.f64 (neg.f64 x) (/.f64 (pow.f64 x 2) 8))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 8)) (-.f64 (/.f64 (pow.f64 x 2) -8) x)) |
(-.f64 x (-.f64 (+.f64 (/.f64 (pow.f64 x 2) -4) (/.f64 (pow.f64 x 2) -8)) (/.f64 (pow.f64 x 2) 8))) |
(-.f64 x (-.f64 (*.f64 3 (*.f64 (pow.f64 x 2) -1/8)) (/.f64 (pow.f64 x 2) 8))) |
(-.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (*.f64 (pow.f64 x 2) -1/2)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (-.f64 0 (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (neg.f64 (pow.f64 x 2))) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (/.f64 (pow.f64 x 2) -4)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (-.f64 x (-.f64 x (*.f64 1/2 (pow.f64 x 2)))) (neg.f64 x)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (-.f64 0 (-.f64 x (*.f64 1/2 (pow.f64 x 2)))) (*.f64 x -2)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (-.f64 (-.f64 x (/.f64 x -2)) (-.f64 x (*.f64 1/2 (pow.f64 x 2)))) (/.f64 x -2)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (-.f64 (/.f64 (pow.f64 x 2) 4) (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4))) (/.f64 x -2)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (-.f64 (/.f64 x 2) (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4))) (/.f64 (pow.f64 x 2) -4)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (/.f64 (+.f64 x (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4))) 2) (/.f64 (-.f64 (/.f64 x -2) (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2)) 2)) |
(/.f64 (-.f64 (+.f64 x (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4))) (-.f64 (/.f64 x -2) (/.f64 (*.f64 (pow.f64 x 2) 3/2) 2))) 2) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 4) (-.f64 (/.f64 x -4) (/.f64 (+.f64 x (-.f64 (/.f64 x 2) (/.f64 (pow.f64 x 2) -4))) 2))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 4) (/.f64 (+.f64 (neg.f64 (*.f64 x 3/2)) (+.f64 (/.f64 (pow.f64 x 2) -4) (/.f64 x -2))) 2)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/2) 4) (/.f64 (-.f64 (neg.f64 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 x 3))) 4)) |
(-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (+.f64 x (pow.f64 x 2)) 2)) 2) (/.f64 (+.f64 (/.f64 x -2) (-.f64 (/.f64 (pow.f64 x 2) -4) x)) 2)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 3) 2) 2) (/.f64 (+.f64 (/.f64 x -2) (/.f64 (pow.f64 x 2) -4)) 2)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (/.f64 (*.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 3) 4) (/.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x) 4)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 2))) (-.f64 (*.f64 (pow.f64 x 2) -1/2) x)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (-.f64 x x) (-.f64 (*.f64 (pow.f64 x 2) -1/2) x)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))) (-.f64 (/.f64 x -2) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4)))) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 x 2) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4))) (-.f64 (/.f64 (pow.f64 x 2) -4) (+.f64 (/.f64 (pow.f64 x 2) 8) (/.f64 x 4)))) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(*.f64 1/2 (+.f64 x (+.f64 x (pow.f64 x 2)))) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(*.f64 2 (*.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(*.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(*.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 1/2) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(*.f64 1/4 (-.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) -2))) |
(*.f64 (-.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) -2)) 1/4) |
(*.f64 1/4 (-.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) -2))) |
(*.f64 1/8 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(*.f64 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4) 1/8) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(*.f64 (*.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 2) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(/.f64 (-.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) -2)) 4) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(/.f64 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4) 8) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 2 (*.f64 x 4))) 8) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(/.f64 (+.f64 (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4) (*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 4)) 16) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(pow.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(neg.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) x)) |
(-.f64 x (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.4b | (-.f64 (+.f64 2 (pow.f64 x 2)) 2) |
Compiled 18 to 14 computations (22.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 2 (pow.f64 x 2)) 2) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 2 (pow.f64 x 2)) 2) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 2 (pow.f64 x 2)) 2) |
| 1× | batch-egg-rewrite |
| 1184× | rational_best-simplify-75 |
| 1010× | rational_best-simplify-76 |
| 974× | rational_best-simplify-83 |
| 612× | rational_best-simplify-38 |
| 496× | rational_best-simplify-67 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 49 | 19 |
| 2 | 110 | 7 |
| 3 | 262 | 7 |
| 4 | 994 | 7 |
| 5 | 7488 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 2 (pow.f64 x 2)) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (pow.f64 x 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (pow.f64 x 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (pow.f64 x 2)) (-.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (pow.f64 x 2)) (-.f64 (+.f64 (pow.f64 x 2) 1) (+.f64 2 (+.f64 (pow.f64 x 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (pow.f64 x 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (pow.f64 x 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 x 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 (+.f64 (pow.f64 x 2) -1) (+.f64 (pow.f64 x 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 x 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (pow.f64 x 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 2 (pow.f64 x 2))) (neg.f64 (+.f64 (pow.f64 x 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (*.f64 2 (pow.f64 x 2))) (-.f64 -2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 x 2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (+.f64 -1/2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 2)) (-.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 1 (/.f64 (pow.f64 x 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 2)) (-.f64 (+.f64 (pow.f64 x 2) 1) (/.f64 (+.f64 (pow.f64 x 2) 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 x 2) 2) (/.f64 (pow.f64 x 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (pow.f64 x 2) -2) 2) (+.f64 1 (/.f64 (pow.f64 x 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 x 2) 2) 3) (/.f64 (pow.f64 x 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) (+.f64 -1 (neg.f64 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (*.f64 2 (pow.f64 x 2)) -4) -1) (+.f64 (-.f64 -2 (pow.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (+.f64 2 (+.f64 (pow.f64 x 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (neg.f64 (pow.f64 x 2))) (+.f64 1 (*.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (pow.f64 x 2) -1)) (+.f64 -1 (*.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 x 2) -2) (*.f64 (/.f64 (pow.f64 x 2) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (+.f64 1/2 (/.f64 (pow.f64 x 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (/.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) 2)) (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (*.f64 (/.f64 (pow.f64 x 2) 2) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (*.f64 (pow.f64 x 2) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/2 (pow.f64 x 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 -2 (pow.f64 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 2)) 3) -1) (+.f64 (/.f64 (-.f64 -2 (pow.f64 x 2)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (pow.f64 x 2) 4) -1) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (pow.f64 x 2) -1) 4) (/.f64 (+.f64 (+.f64 (pow.f64 x 2) 1) (*.f64 2 (pow.f64 x 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (pow.f64 x 2) 1) 4) (/.f64 (+.f64 (+.f64 (pow.f64 x 2) -1) (*.f64 2 (pow.f64 x 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -1 (*.f64 2 (pow.f64 x 2))) 4) (/.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 (*.f64 2 (pow.f64 x 2)) -4)) (-.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 -2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (pow.f64 x 2) -1) (+.f64 (pow.f64 x 2) -2)) (+.f64 (pow.f64 x 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (+.f64 2 (+.f64 (pow.f64 x 2) 1))) (+.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (+.f64 (pow.f64 x 2) -1)) (-.f64 (+.f64 (pow.f64 x 2) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x 2) 1/2) (-.f64 (pow.f64 x 2) (+.f64 -1/2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x 2) (+.f64 -1 (*.f64 2 (pow.f64 x 2)))) (+.f64 -1 (*.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (pow.f64 x 2)))) (+.f64 1 (*.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (+.f64 2 (*.f64 2 (pow.f64 x 2)))) (+.f64 1 (*.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (+.f64 (-.f64 (*.f64 2 (pow.f64 x 2)) -4) -1)) (+.f64 2 (*.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (+.f64 (pow.f64 x 2) 4)) (+.f64 2 (+.f64 (pow.f64 x 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (*.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 2)) 3)) (-.f64 (+.f64 (pow.f64 x 2) 1) (/.f64 (-.f64 -2 (pow.f64 x 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 -1 (-.f64 -2 (pow.f64 x 2)))) (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -5 (-.f64 1 (neg.f64 (+.f64 (pow.f64 x 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 (+.f64 (pow.f64 x 2) 4))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 2 (pow.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 2 (*.f64 (pow.f64 x 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 4) 2) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (pow.f64 (*.f64 x 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 4)) (*.f64 2 (*.f64 (pow.f64 x 2) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (+.f64 2 (*.f64 2 (pow.f64 x 2)))) (-.f64 (*.f64 2 (pow.f64 x 2)) -4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 2 (+.f64 2 (*.f64 2 (pow.f64 x 2))))) (*.f64 (+.f64 2 (pow.f64 x 2)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 x 2))))))) |
| 1× | egg-herbie |
| 1294× | rational_best-simplify-65 |
| 872× | rational_best-simplify-48 |
| 814× | rational_best-simplify-52 |
| 778× | rational_best-simplify-38 |
| 724× | rational_best-simplify-3 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 185 | 866 |
| 1 | 452 | 844 |
| 2 | 1550 | 832 |
| 3 | 7352 | 830 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(+.f64 2 (+.f64 (pow.f64 x 2) -2)) |
(+.f64 (pow.f64 x 2) 0) |
(+.f64 (+.f64 2 (pow.f64 x 2)) -2) |
(+.f64 (+.f64 2 (pow.f64 x 2)) (-.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) 4))) |
(+.f64 (+.f64 2 (pow.f64 x 2)) (-.f64 (+.f64 (pow.f64 x 2) 1) (+.f64 2 (+.f64 (pow.f64 x 2) 1)))) |
(+.f64 0 (pow.f64 x 2)) |
(+.f64 1 (+.f64 (pow.f64 x 2) -1)) |
(+.f64 -1 (+.f64 (pow.f64 x 2) 1)) |
(+.f64 (+.f64 (pow.f64 x 2) -1) 1) |
(+.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 (+.f64 (pow.f64 x 2) -1) (+.f64 (pow.f64 x 2) -2))) |
(+.f64 (+.f64 (pow.f64 x 2) 1) -1) |
(+.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (pow.f64 x 2) 1)))) |
(+.f64 -2 (+.f64 2 (pow.f64 x 2))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2))) |
(+.f64 (+.f64 -1 (*.f64 2 (pow.f64 x 2))) (neg.f64 (+.f64 (pow.f64 x 2) -1))) |
(+.f64 (+.f64 2 (*.f64 2 (pow.f64 x 2))) (-.f64 -2 (pow.f64 x 2))) |
(+.f64 (+.f64 (pow.f64 x 2) -2) 2) |
(+.f64 1/2 (+.f64 -1/2 (pow.f64 x 2))) |
(+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 2))) |
(+.f64 (-.f64 -2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 2)))) |
(+.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 2)) (-.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 1 (/.f64 (pow.f64 x 2) 2))))) |
(+.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 2)) (-.f64 (+.f64 (pow.f64 x 2) 1) (/.f64 (+.f64 (pow.f64 x 2) 4) 2))) |
(+.f64 (/.f64 (pow.f64 x 2) 2) (/.f64 (pow.f64 x 2) 2)) |
(+.f64 (/.f64 (+.f64 (pow.f64 x 2) -2) 2) (+.f64 1 (/.f64 (pow.f64 x 2) 2))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 2) 2) 3) (/.f64 (pow.f64 x 2) -2)) |
(+.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) (+.f64 -1 (neg.f64 (pow.f64 x 2)))) |
(+.f64 (+.f64 (-.f64 (*.f64 2 (pow.f64 x 2)) -4) -1) (+.f64 (-.f64 -2 (pow.f64 x 2)) -1)) |
(+.f64 -3 (+.f64 2 (+.f64 (pow.f64 x 2) 1))) |
(+.f64 (+.f64 -1 (neg.f64 (pow.f64 x 2))) (+.f64 1 (*.f64 2 (pow.f64 x 2)))) |
(+.f64 (neg.f64 (+.f64 (pow.f64 x 2) -1)) (+.f64 -1 (*.f64 2 (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 x 2) -2) (*.f64 (/.f64 (pow.f64 x 2) 2) 3)) |
(+.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (+.f64 1/2 (/.f64 (pow.f64 x 2) 2))) |
(+.f64 -1/2 (/.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) 2)) |
(+.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) 2)) (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2)) |
(+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (*.f64 (/.f64 (pow.f64 x 2) 2) 3) 2)) |
(+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (*.f64 (pow.f64 x 2) 3) 4)) |
(+.f64 (+.f64 -1/2 (pow.f64 x 2)) 1/2) |
(+.f64 (-.f64 -1 (-.f64 -2 (pow.f64 x 2))) -1) |
(+.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 2)) 3) -1) (+.f64 (/.f64 (-.f64 -2 (pow.f64 x 2)) 2) -1)) |
(+.f64 (+.f64 (+.f64 (pow.f64 x 2) 4) -1) -3) |
(+.f64 (/.f64 (+.f64 (pow.f64 x 2) -1) 4) (/.f64 (+.f64 (+.f64 (pow.f64 x 2) 1) (*.f64 2 (pow.f64 x 2))) 4)) |
(+.f64 (/.f64 (+.f64 (pow.f64 x 2) 1) 4) (/.f64 (+.f64 (+.f64 (pow.f64 x 2) -1) (*.f64 2 (pow.f64 x 2))) 4)) |
(+.f64 (/.f64 (+.f64 -1 (*.f64 2 (pow.f64 x 2))) 4) (/.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) 4)) |
(+.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 (*.f64 2 (pow.f64 x 2)) -4)) (-.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 -2 (pow.f64 x 2)))) |
(+.f64 (-.f64 (+.f64 (pow.f64 x 2) -1) (+.f64 (pow.f64 x 2) -2)) (+.f64 (pow.f64 x 2) -1)) |
(+.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (+.f64 2 (+.f64 (pow.f64 x 2) 1))) (+.f64 2 (pow.f64 x 2))) |
(+.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (+.f64 (pow.f64 x 2) -1)) (-.f64 (+.f64 (pow.f64 x 2) 1) 3)) |
(+.f64 (-.f64 (pow.f64 x 2) 1/2) (-.f64 (pow.f64 x 2) (+.f64 -1/2 (pow.f64 x 2)))) |
(+.f64 (-.f64 (pow.f64 x 2) (+.f64 -1 (*.f64 2 (pow.f64 x 2)))) (+.f64 -1 (*.f64 2 (pow.f64 x 2)))) |
(+.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (pow.f64 x 2)))) (+.f64 1 (*.f64 2 (pow.f64 x 2)))) |
(+.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (+.f64 2 (*.f64 2 (pow.f64 x 2)))) (+.f64 1 (*.f64 2 (pow.f64 x 2)))) |
(+.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (+.f64 (-.f64 (*.f64 2 (pow.f64 x 2)) -4) -1)) (+.f64 2 (*.f64 2 (pow.f64 x 2)))) |
(+.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (+.f64 (pow.f64 x 2) 4)) (+.f64 2 (+.f64 (pow.f64 x 2) 1))) |
(+.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (*.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 2)) 3)) (-.f64 (+.f64 (pow.f64 x 2) 1) (/.f64 (-.f64 -2 (pow.f64 x 2)) 2))) |
(+.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 -1 (-.f64 -2 (pow.f64 x 2)))) (pow.f64 x 2)) |
(+.f64 -5 (-.f64 1 (neg.f64 (+.f64 (pow.f64 x 2) 4)))) |
(+.f64 (-.f64 -1 (neg.f64 (+.f64 (pow.f64 x 2) 4))) -3) |
(+.f64 (-.f64 -1 (-.f64 2 (pow.f64 x 2))) 3) |
(*.f64 2 (*.f64 (pow.f64 x 2) 1/2)) |
(*.f64 (pow.f64 x 2) 1) |
(*.f64 1 (pow.f64 x 2)) |
(*.f64 (*.f64 2 (pow.f64 x 2)) 1/2) |
(*.f64 1/2 (*.f64 2 (pow.f64 x 2))) |
(*.f64 (neg.f64 (pow.f64 x 2)) -1) |
(*.f64 (*.f64 (pow.f64 x 2) 4) 1/4) |
(*.f64 1/4 (*.f64 (pow.f64 x 2) 4)) |
(*.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 4)) 1/8) |
(*.f64 (*.f64 (pow.f64 x 2) 1/2) 2) |
(*.f64 1/8 (*.f64 2 (*.f64 (pow.f64 x 2) 4))) |
(*.f64 (pow.f64 (*.f64 x 4) 2) 1/16) |
(*.f64 1/16 (pow.f64 (*.f64 x 4) 2)) |
(/.f64 (pow.f64 x 2) 1) |
(/.f64 (*.f64 2 (pow.f64 x 2)) 2) |
(/.f64 (neg.f64 (pow.f64 x 2)) -1) |
(/.f64 (*.f64 (pow.f64 x 2) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 4)) (*.f64 2 (*.f64 (pow.f64 x 2) 4))) 16) |
(/.f64 (-.f64 (*.f64 2 (+.f64 2 (*.f64 2 (pow.f64 x 2)))) (-.f64 (*.f64 2 (pow.f64 x 2)) -4)) 2) |
(/.f64 (-.f64 (*.f64 2 (*.f64 2 (+.f64 2 (*.f64 2 (pow.f64 x 2))))) (*.f64 (+.f64 2 (pow.f64 x 2)) 4)) 4) |
(pow.f64 x 2) |
(pow.f64 (pow.f64 x 2) 1) |
(neg.f64 (neg.f64 (pow.f64 x 2))) |
| Outputs |
|---|
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(+.f64 2 (+.f64 (pow.f64 x 2) -2)) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) 0) |
(pow.f64 x 2) |
(+.f64 (+.f64 2 (pow.f64 x 2)) -2) |
(pow.f64 x 2) |
(+.f64 (+.f64 2 (pow.f64 x 2)) (-.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) 4))) |
(pow.f64 x 2) |
(+.f64 (+.f64 2 (pow.f64 x 2)) (-.f64 (+.f64 (pow.f64 x 2) 1) (+.f64 2 (+.f64 (pow.f64 x 2) 1)))) |
(pow.f64 x 2) |
(+.f64 0 (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 1 (+.f64 (pow.f64 x 2) -1)) |
(pow.f64 x 2) |
(+.f64 -1 (+.f64 (pow.f64 x 2) 1)) |
(pow.f64 x 2) |
(+.f64 (+.f64 (pow.f64 x 2) -1) 1) |
(pow.f64 x 2) |
(+.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 (+.f64 (pow.f64 x 2) -1) (+.f64 (pow.f64 x 2) -2))) |
(pow.f64 x 2) |
(+.f64 (+.f64 (pow.f64 x 2) 1) -1) |
(pow.f64 x 2) |
(+.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (pow.f64 x 2) 1)))) |
(pow.f64 x 2) |
(+.f64 -2 (+.f64 2 (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (+.f64 -1 (*.f64 2 (pow.f64 x 2))) (neg.f64 (+.f64 (pow.f64 x 2) -1))) |
(pow.f64 x 2) |
(+.f64 (+.f64 2 (*.f64 2 (pow.f64 x 2))) (-.f64 -2 (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (+.f64 (pow.f64 x 2) -2) 2) |
(pow.f64 x 2) |
(+.f64 1/2 (+.f64 -1/2 (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (-.f64 -2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 2)))) |
(pow.f64 x 2) |
(+.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 2)) (-.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 1 (/.f64 (pow.f64 x 2) 2))))) |
(pow.f64 x 2) |
(+.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 2)) (-.f64 (+.f64 (pow.f64 x 2) 1) (/.f64 (+.f64 (pow.f64 x 2) 4) 2))) |
(pow.f64 x 2) |
(+.f64 (/.f64 (pow.f64 x 2) 2) (/.f64 (pow.f64 x 2) 2)) |
(pow.f64 x 2) |
(+.f64 (/.f64 (+.f64 (pow.f64 x 2) -2) 2) (+.f64 1 (/.f64 (pow.f64 x 2) 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 2) 2) 3) (/.f64 (pow.f64 x 2) -2)) |
(+.f64 (*.f64 (pow.f64 x 2) 3/2) (/.f64 (pow.f64 x 2) -2)) |
(+.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) (+.f64 -1 (neg.f64 (pow.f64 x 2)))) |
(pow.f64 x 2) |
(+.f64 (+.f64 (-.f64 (*.f64 2 (pow.f64 x 2)) -4) -1) (+.f64 (-.f64 -2 (pow.f64 x 2)) -1)) |
(pow.f64 x 2) |
(+.f64 -3 (+.f64 2 (+.f64 (pow.f64 x 2) 1))) |
(pow.f64 x 2) |
(+.f64 (+.f64 -1 (neg.f64 (pow.f64 x 2))) (+.f64 1 (*.f64 2 (pow.f64 x 2)))) |
(pow.f64 x 2) |
(+.f64 (neg.f64 (+.f64 (pow.f64 x 2) -1)) (+.f64 -1 (*.f64 2 (pow.f64 x 2)))) |
(pow.f64 x 2) |
(+.f64 (/.f64 (pow.f64 x 2) -2) (*.f64 (/.f64 (pow.f64 x 2) 2) 3)) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 2) 2) 3) (/.f64 (pow.f64 x 2) -2)) |
(+.f64 (*.f64 (pow.f64 x 2) 3/2) (/.f64 (pow.f64 x 2) -2)) |
(+.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (+.f64 1/2 (/.f64 (pow.f64 x 2) 2))) |
(pow.f64 x 2) |
(+.f64 -1/2 (/.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) 2)) |
(pow.f64 x 2) |
(+.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) 2)) (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2)) |
(pow.f64 x 2) |
(+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (*.f64 (/.f64 (pow.f64 x 2) 2) 3) 2)) |
(pow.f64 x 2) |
(+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (*.f64 (pow.f64 x 2) 3) 4)) |
(pow.f64 x 2) |
(+.f64 (+.f64 -1/2 (pow.f64 x 2)) 1/2) |
(pow.f64 x 2) |
(+.f64 (-.f64 -1 (-.f64 -2 (pow.f64 x 2))) -1) |
(pow.f64 x 2) |
(+.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 2)) 3) -1) (+.f64 (/.f64 (-.f64 -2 (pow.f64 x 2)) 2) -1)) |
(-.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 2)) 3) (-.f64 -1 (/.f64 (pow.f64 x 2) 2))) 2) |
(+.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 2)) 3) (+.f64 -1 (-.f64 -2 (/.f64 (pow.f64 x 2) 2)))) |
(+.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 2)) 3) (-.f64 -2 (/.f64 (pow.f64 x 2) 2)))) |
(+.f64 (+.f64 (+.f64 (pow.f64 x 2) 4) -1) -3) |
(pow.f64 x 2) |
(+.f64 (/.f64 (+.f64 (pow.f64 x 2) -1) 4) (/.f64 (+.f64 (+.f64 (pow.f64 x 2) 1) (*.f64 2 (pow.f64 x 2))) 4)) |
(pow.f64 x 2) |
(+.f64 (/.f64 (+.f64 (pow.f64 x 2) 1) 4) (/.f64 (+.f64 (+.f64 (pow.f64 x 2) -1) (*.f64 2 (pow.f64 x 2))) 4)) |
(pow.f64 x 2) |
(+.f64 (/.f64 (+.f64 -1 (*.f64 2 (pow.f64 x 2))) 4) (/.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) 4)) |
(pow.f64 x 2) |
(+.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 (*.f64 2 (pow.f64 x 2)) -4)) (-.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 -2 (pow.f64 x 2)))) |
(pow.f64 x 2) |
(+.f64 (-.f64 (+.f64 (pow.f64 x 2) -1) (+.f64 (pow.f64 x 2) -2)) (+.f64 (pow.f64 x 2) -1)) |
(pow.f64 x 2) |
(+.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (+.f64 2 (+.f64 (pow.f64 x 2) 1))) (+.f64 2 (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (+.f64 (pow.f64 x 2) -1)) (-.f64 (+.f64 (pow.f64 x 2) 1) 3)) |
(pow.f64 x 2) |
(+.f64 (-.f64 (pow.f64 x 2) 1/2) (-.f64 (pow.f64 x 2) (+.f64 -1/2 (pow.f64 x 2)))) |
(pow.f64 x 2) |
(+.f64 (-.f64 (pow.f64 x 2) (+.f64 -1 (*.f64 2 (pow.f64 x 2)))) (+.f64 -1 (*.f64 2 (pow.f64 x 2)))) |
(pow.f64 x 2) |
(+.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (pow.f64 x 2)))) (+.f64 1 (*.f64 2 (pow.f64 x 2)))) |
(pow.f64 x 2) |
(+.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (+.f64 2 (*.f64 2 (pow.f64 x 2)))) (+.f64 1 (*.f64 2 (pow.f64 x 2)))) |
(pow.f64 x 2) |
(+.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (+.f64 (-.f64 (*.f64 2 (pow.f64 x 2)) -4) -1)) (+.f64 2 (*.f64 2 (pow.f64 x 2)))) |
(pow.f64 x 2) |
(+.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (+.f64 (pow.f64 x 2) 4)) (+.f64 2 (+.f64 (pow.f64 x 2) 1))) |
(pow.f64 x 2) |
(+.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (*.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 2)) 3)) (-.f64 (+.f64 (pow.f64 x 2) 1) (/.f64 (-.f64 -2 (pow.f64 x 2)) 2))) |
(+.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (*.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 2)) 3)) (-.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 -1 (/.f64 (pow.f64 x 2) 2)))) |
(+.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (*.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 2)) 3)) (-.f64 (/.f64 (pow.f64 x 2) 2) (-.f64 -2 (pow.f64 x 2)))) |
(+.f64 (+.f64 (pow.f64 x 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 2)) 3))) (-.f64 0 (-.f64 -2 (*.f64 (pow.f64 x 2) 3/2)))) |
(+.f64 (+.f64 (pow.f64 x 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 2)) 3))) (neg.f64 (-.f64 -2 (*.f64 (pow.f64 x 2) 3/2)))) |
(+.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 -1 (-.f64 -2 (pow.f64 x 2)))) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 -5 (-.f64 1 (neg.f64 (+.f64 (pow.f64 x 2) 4)))) |
(+.f64 -5 (-.f64 (+.f64 (pow.f64 x 2) 4) -1)) |
(+.f64 -5 (-.f64 (pow.f64 x 2) -5)) |
(+.f64 (-.f64 -1 (neg.f64 (+.f64 (pow.f64 x 2) 4))) -3) |
(pow.f64 x 2) |
(+.f64 (-.f64 -1 (-.f64 2 (pow.f64 x 2))) 3) |
(pow.f64 x 2) |
(*.f64 2 (*.f64 (pow.f64 x 2) 1/2)) |
(pow.f64 x 2) |
(*.f64 (pow.f64 x 2) 1) |
(pow.f64 x 2) |
(*.f64 1 (pow.f64 x 2)) |
(pow.f64 x 2) |
(*.f64 (*.f64 2 (pow.f64 x 2)) 1/2) |
(pow.f64 x 2) |
(*.f64 1/2 (*.f64 2 (pow.f64 x 2))) |
(pow.f64 x 2) |
(*.f64 (neg.f64 (pow.f64 x 2)) -1) |
(pow.f64 x 2) |
(*.f64 (*.f64 (pow.f64 x 2) 4) 1/4) |
(pow.f64 x 2) |
(*.f64 1/4 (*.f64 (pow.f64 x 2) 4)) |
(pow.f64 x 2) |
(*.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 4)) 1/8) |
(pow.f64 x 2) |
(*.f64 (*.f64 (pow.f64 x 2) 1/2) 2) |
(pow.f64 x 2) |
(*.f64 1/8 (*.f64 2 (*.f64 (pow.f64 x 2) 4))) |
(pow.f64 x 2) |
(*.f64 (pow.f64 (*.f64 x 4) 2) 1/16) |
(pow.f64 x 2) |
(*.f64 1/16 (pow.f64 (*.f64 x 4) 2)) |
(pow.f64 x 2) |
(/.f64 (pow.f64 x 2) 1) |
(pow.f64 x 2) |
(/.f64 (*.f64 2 (pow.f64 x 2)) 2) |
(pow.f64 x 2) |
(/.f64 (neg.f64 (pow.f64 x 2)) -1) |
(pow.f64 x 2) |
(/.f64 (*.f64 (pow.f64 x 2) 4) 4) |
(pow.f64 x 2) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 4)) 8) |
(pow.f64 x 2) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 4)) (*.f64 2 (*.f64 (pow.f64 x 2) 4))) 16) |
(pow.f64 x 2) |
(/.f64 (-.f64 (*.f64 2 (+.f64 2 (*.f64 2 (pow.f64 x 2)))) (-.f64 (*.f64 2 (pow.f64 x 2)) -4)) 2) |
(pow.f64 x 2) |
(/.f64 (-.f64 (*.f64 2 (*.f64 2 (+.f64 2 (*.f64 2 (pow.f64 x 2))))) (*.f64 (+.f64 2 (pow.f64 x 2)) 4)) 4) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 (pow.f64 x 2) 1) |
(pow.f64 x 2) |
(neg.f64 (neg.f64 (pow.f64 x 2))) |
(pow.f64 x 2) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 -1 (exp.f64 x)) |
| 0.0b | (-.f64 (exp.f64 x) 2) | |
| ✓ | 3.3b | (-.f64 (-.f64 (exp.f64 x) 2) (/.f64 -1 (exp.f64 x))) |
Compiled 23 to 13 computations (43.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (-.f64 (exp.f64 x) 2) (/.f64 -1 (exp.f64 x))) |
| 1.0ms | x | @ | -inf | (-.f64 (-.f64 (exp.f64 x) 2) (/.f64 -1 (exp.f64 x))) |
| 1.0ms | x | @ | -inf | (/.f64 -1 (exp.f64 x)) |
| 1.0ms | x | @ | inf | (/.f64 -1 (exp.f64 x)) |
| 0.0ms | x | @ | 0 | (-.f64 (-.f64 (exp.f64 x) 2) (/.f64 -1 (exp.f64 x))) |
| 1× | batch-egg-rewrite |
| 1340× | rational_best-simplify-75 |
| 1332× | rational_best-simplify-76 |
| 824× | rational_best-simplify-56 |
| 774× | rational_best-4 |
| 774× | rational_best-2 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 38 |
| 1 | 70 | 38 |
| 2 | 157 | 38 |
| 3 | 439 | 36 |
| 4 | 1898 | 36 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 (exp.f64 x) 2) (/.f64 -1 (exp.f64 x))) |
(/.f64 -1 (exp.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (neg.f64 (+.f64 2 (/.f64 -1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 2 (/.f64 -1 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (-.f64 -2 (/.f64 -1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 x) -2) (-.f64 (exp.f64 x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 x) -2) (-.f64 (+.f64 (exp.f64 x) -2) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 -1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (+.f64 (exp.f64 x) 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| 1× | egg-herbie |
| 1256× | rational_best-simplify-1 |
| 720× | rational_best-simplify-3 |
| 626× | rational_best-simplify-50 |
| 534× | rational_best-simplify-57 |
| 494× | rational_best-simplify-108 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 333 | 4015 |
| 1 | 766 | 3977 |
| 2 | 1849 | 3899 |
| 3 | 6210 | 3879 |
| 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 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 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) |
(+.f64 (exp.f64 x) (neg.f64 (+.f64 2 (/.f64 -1 (exp.f64 x))))) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(+.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 2 (/.f64 -1 (exp.f64 x)))))) |
(+.f64 (exp.f64 x) (-.f64 -2 (/.f64 -1 (exp.f64 x)))) |
(+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) |
(+.f64 (+.f64 (exp.f64 x) -2) (-.f64 (exp.f64 x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(+.f64 (+.f64 (exp.f64 x) -2) (-.f64 (+.f64 (exp.f64 x) -2) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))))) |
(+.f64 -1 (+.f64 -1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(+.f64 -1 (+.f64 (+.f64 (exp.f64 x) -1) (exp.f64 (neg.f64 x)))) |
(+.f64 -1 (/.f64 (+.f64 -2 (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 2)) |
(+.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 0) |
(+.f64 0 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) |
(+.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -2) |
(+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+.f64 (+.f64 (exp.f64 x) -1) (+.f64 -1 (exp.f64 (neg.f64 x)))) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)) |
(+.f64 (exp.f64 (neg.f64 x)) (neg.f64 (-.f64 2 (exp.f64 x)))) |
(+.f64 (neg.f64 (exp.f64 x)) (-.f64 (*.f64 (exp.f64 x) 2) (+.f64 2 (/.f64 -1 (exp.f64 x))))) |
(+.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) -1)) |
(+.f64 (+.f64 -1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) -1) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (+.f64 (exp.f64 x) -2))) (-.f64 2 (exp.f64 x))) |
(+.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (+.f64 (exp.f64 x) -2)))) |
(+.f64 (neg.f64 (+.f64 2 (/.f64 -1 (exp.f64 x)))) (exp.f64 x)) |
(+.f64 (/.f64 (exp.f64 x) 2) (-.f64 (/.f64 (exp.f64 x) 2) (+.f64 2 (/.f64 -1 (exp.f64 x))))) |
(+.f64 (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 2) (/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 2)) |
(+.f64 (+.f64 -1 (/.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (/.f64 (exp.f64 x) 2)))) |
(+.f64 (+.f64 -1 (/.f64 (exp.f64 x) 2)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 x) 2)) -1)) |
(+.f64 (-.f64 (*.f64 (exp.f64 x) 2) (+.f64 2 (/.f64 -1 (exp.f64 x)))) (neg.f64 (exp.f64 x))) |
(+.f64 (+.f64 -2 (exp.f64 (neg.f64 x))) (exp.f64 x)) |
(+.f64 (+.f64 (+.f64 (exp.f64 x) -1) (exp.f64 (neg.f64 x))) -1) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (/.f64 (exp.f64 x) 2))) (+.f64 -1 (/.f64 (exp.f64 x) 2))) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 x) 2)) (-.f64 (/.f64 (exp.f64 x) 2) 2)) |
(+.f64 (-.f64 (/.f64 (exp.f64 x) 2) (+.f64 2 (/.f64 -1 (exp.f64 x)))) (/.f64 (exp.f64 x) 2)) |
(+.f64 (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 2 (/.f64 -1 (exp.f64 x))))) (exp.f64 x)) |
(+.f64 (-.f64 (+.f64 (exp.f64 x) -2) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) -2)) |
(+.f64 (-.f64 (/.f64 (exp.f64 x) 2) 2) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 x) 2))) |
(+.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 (+.f64 (exp.f64 x) -2) (/.f64 -1/2 (exp.f64 x)))) |
(+.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 2 (exp.f64 x)))) |
(+.f64 (-.f64 (+.f64 (exp.f64 x) -2) (/.f64 -1/2 (exp.f64 x))) (/.f64 1/2 (exp.f64 x))) |
(+.f64 (-.f64 (+.f64 (exp.f64 x) -2) (/.f64 -1/2 (exp.f64 x))) (-.f64 (+.f64 (exp.f64 x) -2) (+.f64 (+.f64 (exp.f64 x) -2) (/.f64 -1/2 (exp.f64 x))))) |
(+.f64 (neg.f64 (-.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x))) |
(+.f64 (neg.f64 (+.f64 (/.f64 -1 (exp.f64 x)) 1)) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) -1)))) |
(+.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 x) -1))) (neg.f64 (+.f64 (/.f64 -1 (exp.f64 x)) 1))) |
(+.f64 (-.f64 -2 (/.f64 -1 (exp.f64 x))) (exp.f64 x)) |
(+.f64 (/.f64 (+.f64 -2 (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 2) -1) |
(+.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (-.f64 (/.f64 (exp.f64 x) 2) (+.f64 2 (/.f64 -1/2 (exp.f64 x))))) |
(+.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 x) 2)) -1) (+.f64 -1 (/.f64 (exp.f64 x) 2))) |
(+.f64 (+.f64 (-.f64 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) -1) (+.f64 (/.f64 1/2 (exp.f64 x)) -1)) |
(+.f64 (+.f64 (+.f64 (*.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) -1) (+.f64 (neg.f64 (exp.f64 x)) -1)) |
(+.f64 (-.f64 (/.f64 (exp.f64 x) 4) (/.f64 (exp.f64 x) -2)) (-.f64 (/.f64 (exp.f64 x) 4) (+.f64 2 (/.f64 -1 (exp.f64 x))))) |
(+.f64 (-.f64 (/.f64 (exp.f64 x) 2) (+.f64 1 (/.f64 -1/2 (exp.f64 x)))) (-.f64 (/.f64 (exp.f64 x) 2) (+.f64 1 (/.f64 -1/2 (exp.f64 x))))) |
(+.f64 (-.f64 (exp.f64 x) (/.f64 (exp.f64 x) 2)) (-.f64 (exp.f64 x) (+.f64 (+.f64 2 (/.f64 -1 (exp.f64 x))) (/.f64 (exp.f64 x) 2)))) |
(+.f64 (-.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 2 (exp.f64 x))) (/.f64 1/2 (exp.f64 x))) |
(+.f64 (-.f64 (/.f64 1/2 (exp.f64 x)) (neg.f64 (+.f64 (exp.f64 x) -1))) (-.f64 (/.f64 1/2 (exp.f64 x)) 1)) |
(+.f64 (-.f64 (/.f64 1/2 (exp.f64 x)) 1) (-.f64 (/.f64 1/2 (exp.f64 x)) (neg.f64 (+.f64 (exp.f64 x) -1)))) |
(+.f64 (-.f64 (/.f64 1/2 (exp.f64 x)) (/.f64 (-.f64 2 (exp.f64 x)) 2)) (-.f64 (/.f64 1/2 (exp.f64 x)) (/.f64 (-.f64 2 (exp.f64 x)) 2))) |
(+.f64 (-.f64 (/.f64 (exp.f64 x) 4) (+.f64 2 (/.f64 -1 (exp.f64 x)))) (-.f64 (/.f64 (exp.f64 x) 4) (/.f64 (exp.f64 x) -2))) |
(+.f64 (-.f64 (+.f64 (exp.f64 x) -2) (+.f64 -1 (/.f64 (exp.f64 x) 2))) (-.f64 (+.f64 (exp.f64 x) -2) (+.f64 (/.f64 -1 (exp.f64 x)) (+.f64 -1 (/.f64 (exp.f64 x) 2))))) |
(+.f64 (-.f64 (+.f64 -1 (/.f64 (exp.f64 x) 2)) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) (-.f64 (+.f64 -1 (/.f64 (exp.f64 x) 2)) (-.f64 2 (exp.f64 x)))) |
(+.f64 (-.f64 (/.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) (+.f64 2 (/.f64 -1 (exp.f64 x))))) (*.f64 3 (/.f64 (exp.f64 x) 2))) |
(+.f64 (-.f64 (/.f64 1/2 (exp.f64 x)) 2) (-.f64 (/.f64 1/2 (exp.f64 x)) (neg.f64 (exp.f64 x)))) |
(+.f64 (-.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 2 (/.f64 (exp.f64 x) 2))) (-.f64 (/.f64 1/2 (exp.f64 x)) (/.f64 (exp.f64 x) -2))) |
(+.f64 (-.f64 (+.f64 (exp.f64 x) -2) -1) (-.f64 (+.f64 (exp.f64 x) -2) (+.f64 (/.f64 -1 (exp.f64 x)) (+.f64 (exp.f64 x) -1)))) |
(+.f64 (-.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) -1)) (-.f64 (+.f64 (exp.f64 x) -2) (+.f64 -1 (/.f64 -1 (exp.f64 x))))) |
(*.f64 2 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 1/2)) |
(*.f64 -1 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 1) |
(*.f64 1 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) |
(*.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) -1) |
(*.f64 (*.f64 2 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) 1/2) |
(*.f64 1/2 (*.f64 2 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))))) |
(*.f64 1/2 (-.f64 (*.f64 (+.f64 (exp.f64 x) -2) 4) (*.f64 2 (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))))) |
(*.f64 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4) 1/4) |
(*.f64 1/4 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4)) |
(*.f64 (*.f64 2 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4)) 1/8) |
(/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 1) |
(/.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) -1) |
(/.f64 (*.f64 2 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) 2) |
(/.f64 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4) 4) |
(/.f64 (*.f64 -2 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) -2) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4)) 8) |
(/.f64 (-.f64 (/.f64 -4 (exp.f64 x)) (*.f64 (+.f64 (exp.f64 x) -2) 4)) -4) |
(/.f64 (/.f64 (-.f64 (/.f64 -4 (exp.f64 x)) (*.f64 (+.f64 (exp.f64 x) -2) 4)) -1) 4) |
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 x) -2) 4) (*.f64 2 (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))))) 2) |
(/.f64 (+.f64 (*.f64 (+.f64 (exp.f64 x) -2) 4) (/.f64 4 (exp.f64 x))) 4) |
(/.f64 (+.f64 (/.f64 4 (exp.f64 x)) (*.f64 (+.f64 (exp.f64 x) -2) 4)) 4) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) 4) (*.f64 2 (*.f64 2 (+.f64 2 (/.f64 -1 (exp.f64 x)))))) 4) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -2) 4)) (/.f64 -8 (exp.f64 x))) 8) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) 4) (*.f64 2 (+.f64 (exp.f64 x) (+.f64 2 (/.f64 -1 (exp.f64 x)))))) 2) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -2) 4)) (+.f64 (*.f64 (+.f64 (exp.f64 x) -2) 4) (/.f64 -4 (exp.f64 x)))) 4) |
(/.f64 (-.f64 (*.f64 2 (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) (/.f64 -4 (exp.f64 x))) 2) |
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 (exp.f64 x) -2) 4) (/.f64 -4 (exp.f64 x))) (/.f64 -8 (exp.f64 x))) 4) |
(pow.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 1) |
(neg.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(+.f64 (/.f64 -1 (exp.f64 x)) 0) |
(+.f64 0 (/.f64 -1 (exp.f64 x))) |
(+.f64 (neg.f64 (exp.f64 x)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+.f64 (/.f64 -1/2 (exp.f64 x)) (/.f64 -1/2 (exp.f64 x))) |
(+.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 x))) |
(+.f64 (/.f64 -1/4 (exp.f64 x)) (-.f64 (/.f64 -1/4 (exp.f64 x)) (/.f64 1/2 (exp.f64 x)))) |
(-.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (/.f64 -1 (exp.f64 x)) 0) |
(-.f64 0 (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 -1/2 (exp.f64 x)) (/.f64 1/2 (exp.f64 x))) |
(-.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (exp.f64 x)) |
(-.f64 (+.f64 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) (+.f64 (/.f64 1/2 (exp.f64 x)) (exp.f64 x))) |
(-.f64 (+.f64 (/.f64 -1 (exp.f64 x)) (/.f64 (exp.f64 x) 2)) (+.f64 (/.f64 (exp.f64 x) -2) (exp.f64 x))) |
(-.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (+.f64 (-.f64 (/.f64 (exp.f64 x) -2) (/.f64 -1/2 (exp.f64 x))) (exp.f64 x))) |
(-.f64 (neg.f64 (/.f64 1/2 (exp.f64 x))) (/.f64 1/2 (exp.f64 x))) |
(-.f64 (-.f64 (/.f64 -1/4 (exp.f64 x)) (/.f64 1/2 (exp.f64 x))) (-.f64 0 (/.f64 -1/4 (exp.f64 x)))) |
(*.f64 2 (/.f64 -1/2 (exp.f64 x))) |
(*.f64 2 (*.f64 (/.f64 -1 (exp.f64 x)) 1/2)) |
(*.f64 -1 (exp.f64 (neg.f64 x))) |
(*.f64 (/.f64 -1 (exp.f64 x)) 1) |
(*.f64 1 (/.f64 -1 (exp.f64 x))) |
(*.f64 -2 (/.f64 1/2 (exp.f64 x))) |
(*.f64 -2 (*.f64 (exp.f64 (neg.f64 x)) 1/2)) |
(*.f64 (exp.f64 (neg.f64 x)) -1) |
(*.f64 (/.f64 -2 (exp.f64 x)) 1/2) |
(*.f64 -4 (/.f64 1/4 (exp.f64 x))) |
(*.f64 -4 (*.f64 (/.f64 1/2 (exp.f64 x)) 1/2)) |
(*.f64 -4 (/.f64 -1 (neg.f64 (*.f64 (exp.f64 x) 4)))) |
(*.f64 1/2 (/.f64 -2 (exp.f64 x))) |
(*.f64 (/.f64 1/4 (exp.f64 x)) -4) |
(*.f64 (/.f64 -4 (exp.f64 x)) 1/4) |
(*.f64 -8 (/.f64 1/2 (*.f64 (exp.f64 x) 4))) |
(*.f64 -8 (*.f64 (/.f64 1/4 (exp.f64 x)) 1/2)) |
(*.f64 -8 (/.f64 -1 (neg.f64 (*.f64 (*.f64 (exp.f64 x) 2) 4)))) |
(*.f64 (/.f64 -1/2 (exp.f64 x)) 2) |
(*.f64 4 (/.f64 -1/4 (exp.f64 x))) |
(*.f64 (/.f64 4 (exp.f64 x)) -1/4) |
(*.f64 8 (/.f64 -1 (*.f64 (*.f64 (exp.f64 x) 2) 4))) |
(*.f64 1/4 (/.f64 -4 (exp.f64 x))) |
(*.f64 (/.f64 1/2 (*.f64 (exp.f64 x) 4)) -8) |
(*.f64 (/.f64 1/2 (exp.f64 x)) -2) |
(*.f64 (/.f64 2 (exp.f64 x)) -1/2) |
(*.f64 (/.f64 -8 (exp.f64 x)) 1/8) |
(*.f64 -16 (/.f64 1 (*.f64 (*.f64 (exp.f64 x) 4) 4))) |
(*.f64 -16 (/.f64 1/2 (*.f64 (*.f64 (exp.f64 x) 2) 4))) |
(pow.f64 (/.f64 -1 (exp.f64 x)) 1) |
(neg.f64 (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(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 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6))) |
(+.f64 (pow.f64 x 2) (+.f64 (*.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))))) |
(+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6)))) |
(+.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))) |
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) |
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(+.f64 (-.f64 (+.f64 -1 (/.f64 (exp.f64 x) 2)) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) (-.f64 (+.f64 -1 (/.f64 (exp.f64 x) 2)) (-.f64 2 (exp.f64 x)))) |
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 (exp.f64 x) -2) (+.f64 -1 (/.f64 (exp.f64 x) 2)))) (-.f64 (+.f64 -1 (/.f64 (exp.f64 x) 2)) (-.f64 2 (exp.f64 x)))) |
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 (exp.f64 x) -2) (+.f64 -1 (/.f64 (exp.f64 x) 2)))) (-.f64 (exp.f64 x) (+.f64 3 (neg.f64 (/.f64 (exp.f64 x) 2))))) |
(+.f64 (-.f64 (+.f64 1 (*.f64 (exp.f64 x) -1/2)) (/.f64 -1 (exp.f64 x))) (-.f64 (exp.f64 x) (+.f64 3 (*.f64 (exp.f64 x) -1/2)))) |
(+.f64 (+.f64 (+.f64 1 (*.f64 (exp.f64 x) -1/2)) (exp.f64 (neg.f64 x))) (+.f64 (-.f64 (exp.f64 x) 3) (*.f64 (exp.f64 x) 1/2))) |
(+.f64 (-.f64 (/.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) (+.f64 2 (/.f64 -1 (exp.f64 x))))) (*.f64 3 (/.f64 (exp.f64 x) 2))) |
(+.f64 (-.f64 (/.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) (+.f64 2 (/.f64 -1 (exp.f64 x))))) (*.f64 (exp.f64 x) 3/2)) |
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (+.f64 (*.f64 -1 (/.f64 (exp.f64 x) 2)) (*.f64 (exp.f64 x) 3/2))) |
(+.f64 (+.f64 -2 (exp.f64 (neg.f64 x))) (*.f64 (*.f64 (exp.f64 x) 1/2) 2)) |
(+.f64 (+.f64 -2 (exp.f64 (neg.f64 x))) (*.f64 2 (*.f64 (exp.f64 x) 1/2))) |
(+.f64 (-.f64 (/.f64 1/2 (exp.f64 x)) 2) (-.f64 (/.f64 1/2 (exp.f64 x)) (neg.f64 (exp.f64 x)))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(+.f64 (-.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 2 (/.f64 (exp.f64 x) 2))) (-.f64 (/.f64 1/2 (exp.f64 x)) (/.f64 (exp.f64 x) -2))) |
(+.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (-.f64 (/.f64 (exp.f64 x) 2) (+.f64 2 (/.f64 -1/2 (exp.f64 x))))) |
(+.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (+.f64 (-.f64 (/.f64 (exp.f64 x) 2) (/.f64 -1/2 (exp.f64 x))) -2)) |
(+.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (+.f64 -2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) |
(+.f64 (-.f64 (+.f64 (exp.f64 x) -2) -1) (-.f64 (+.f64 (exp.f64 x) -2) (+.f64 (/.f64 -1 (exp.f64 x)) (+.f64 (exp.f64 x) -1)))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(+.f64 (-.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) -1)) (-.f64 (+.f64 (exp.f64 x) -2) (+.f64 -1 (/.f64 -1 (exp.f64 x))))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(*.f64 2 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 1/2)) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(*.f64 -1 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 1) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(*.f64 1 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(*.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) -1) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(*.f64 (*.f64 2 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) 1/2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(*.f64 1/2 (*.f64 2 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(*.f64 1/2 (-.f64 (*.f64 (+.f64 (exp.f64 x) -2) 4) (*.f64 2 (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))))) |
(*.f64 1/2 (-.f64 (*.f64 4 (+.f64 (exp.f64 x) -2)) (*.f64 2 (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))))) |
(*.f64 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4) 1/4) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(*.f64 1/4 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4)) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(*.f64 (*.f64 2 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4)) 1/8) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(/.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 1) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) -1) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(/.f64 (*.f64 2 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) 2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4) 4) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(/.f64 (*.f64 -2 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) -2) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 4)) 8) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (/.f64 -4 (exp.f64 x)) (*.f64 (+.f64 (exp.f64 x) -2) 4)) -4) |
(/.f64 (-.f64 (/.f64 -4 (exp.f64 x)) (*.f64 4 (+.f64 (exp.f64 x) -2))) -4) |
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 4 (+.f64 (exp.f64 x) -2)) -4)) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 4 (+.f64 (exp.f64 x) -2)) 4)) |
(/.f64 (/.f64 (-.f64 (/.f64 -4 (exp.f64 x)) (*.f64 (+.f64 (exp.f64 x) -2) 4)) -1) 4) |
(/.f64 (-.f64 (/.f64 -4 (exp.f64 x)) (*.f64 4 (+.f64 (exp.f64 x) -2))) -4) |
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 4 (+.f64 (exp.f64 x) -2)) -4)) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 4 (+.f64 (exp.f64 x) -2)) 4)) |
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 x) -2) 4) (*.f64 2 (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))))) 2) |
(/.f64 (-.f64 (*.f64 4 (+.f64 (exp.f64 x) -2)) (*.f64 2 (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))))) 2) |
(/.f64 (+.f64 (*.f64 (+.f64 (exp.f64 x) -2) 4) (/.f64 4 (exp.f64 x))) 4) |
(/.f64 (-.f64 (/.f64 -4 (exp.f64 x)) (*.f64 4 (+.f64 (exp.f64 x) -2))) -4) |
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 4 (+.f64 (exp.f64 x) -2)) -4)) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 4 (+.f64 (exp.f64 x) -2)) 4)) |
(/.f64 (+.f64 (/.f64 4 (exp.f64 x)) (*.f64 (+.f64 (exp.f64 x) -2) 4)) 4) |
(/.f64 (-.f64 (/.f64 -4 (exp.f64 x)) (*.f64 4 (+.f64 (exp.f64 x) -2))) -4) |
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 4 (+.f64 (exp.f64 x) -2)) -4)) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 4 (+.f64 (exp.f64 x) -2)) 4)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) 4) (*.f64 2 (*.f64 2 (+.f64 2 (/.f64 -1 (exp.f64 x)))))) 4) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -2) 4)) (/.f64 -8 (exp.f64 x))) 8) |
(/.f64 (-.f64 (/.f64 -4 (exp.f64 x)) (*.f64 4 (+.f64 (exp.f64 x) -2))) -4) |
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 4 (+.f64 (exp.f64 x) -2)) -4)) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 4 (+.f64 (exp.f64 x) -2)) 4)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) 4) (*.f64 2 (+.f64 (exp.f64 x) (+.f64 2 (/.f64 -1 (exp.f64 x)))))) 2) |
(/.f64 (-.f64 (*.f64 4 (exp.f64 x)) (*.f64 2 (+.f64 (exp.f64 x) (+.f64 2 (/.f64 -1 (exp.f64 x)))))) 2) |
(/.f64 (-.f64 (*.f64 4 (exp.f64 x)) (*.f64 2 (+.f64 2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) 2) |
(/.f64 (-.f64 (*.f64 8 (exp.f64 x)) (*.f64 4 (+.f64 2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) 4) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) -2) 4)) (+.f64 (*.f64 (+.f64 (exp.f64 x) -2) 4) (/.f64 -4 (exp.f64 x)))) 4) |
(/.f64 (-.f64 (*.f64 2 (*.f64 4 (+.f64 (exp.f64 x) -2))) (+.f64 (*.f64 4 (+.f64 (exp.f64 x) -2)) (/.f64 -4 (exp.f64 x)))) 4) |
(+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 x) -2) 8) (*.f64 4 (+.f64 (exp.f64 x) -2))) 4) (exp.f64 (neg.f64 x))) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 (*.f64 8 (+.f64 (exp.f64 x) -2)) (*.f64 4 (+.f64 (exp.f64 x) -2))) 4)) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 4 (*.f64 1 (+.f64 (exp.f64 x) -2))) 4)) |
(/.f64 (-.f64 (*.f64 2 (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) (/.f64 -4 (exp.f64 x))) 2) |
(-.f64 (/.f64 (*.f64 2 (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))) 2) (/.f64 -2 (exp.f64 x))) |
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 (exp.f64 x) -2) 4) (/.f64 -4 (exp.f64 x))) (/.f64 -8 (exp.f64 x))) 4) |
(/.f64 (-.f64 (+.f64 (*.f64 4 (+.f64 (exp.f64 x) -2)) (/.f64 -4 (exp.f64 x))) (/.f64 -8 (exp.f64 x))) 4) |
(-.f64 (/.f64 (+.f64 (*.f64 4 (+.f64 (exp.f64 x) -2)) (/.f64 -4 (exp.f64 x))) 4) (/.f64 -2 (exp.f64 x))) |
(-.f64 (-.f64 (/.f64 (*.f64 4 (+.f64 (exp.f64 x) -2)) 4) (exp.f64 (neg.f64 x))) (/.f64 -2 (exp.f64 x))) |
(pow.f64 (+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x))) 1) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(neg.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x)))) |
(+.f64 (/.f64 -1 (exp.f64 x)) 0) |
(/.f64 -1 (exp.f64 x)) |
(+.f64 0 (/.f64 -1 (exp.f64 x))) |
(/.f64 -1 (exp.f64 x)) |
(+.f64 (neg.f64 (exp.f64 x)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 -1 (exp.f64 x)) |
(+.f64 (/.f64 -1/2 (exp.f64 x)) (/.f64 -1/2 (exp.f64 x))) |
(/.f64 -1 (exp.f64 x)) |
(+.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 x))) |
(/.f64 -1 (exp.f64 x)) |
(+.f64 (/.f64 -1/4 (exp.f64 x)) (-.f64 (/.f64 -1/4 (exp.f64 x)) (/.f64 1/2 (exp.f64 x)))) |
(/.f64 -1 (exp.f64 x)) |
(-.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 -1 (exp.f64 x)) |
(-.f64 (/.f64 -1 (exp.f64 x)) 0) |
(/.f64 -1 (exp.f64 x)) |
(-.f64 0 (exp.f64 (neg.f64 x))) |
(/.f64 -1 (exp.f64 x)) |
(-.f64 (/.f64 -1/2 (exp.f64 x)) (/.f64 1/2 (exp.f64 x))) |
(/.f64 -1 (exp.f64 x)) |
(-.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (exp.f64 x)) |
(/.f64 -1 (exp.f64 x)) |
(-.f64 (+.f64 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) (+.f64 (/.f64 1/2 (exp.f64 x)) (exp.f64 x))) |
(/.f64 -1 (exp.f64 x)) |
(-.f64 (+.f64 (/.f64 -1 (exp.f64 x)) (/.f64 (exp.f64 x) 2)) (+.f64 (/.f64 (exp.f64 x) -2) (exp.f64 x))) |
(/.f64 -1 (exp.f64 x)) |
(-.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (+.f64 (-.f64 (/.f64 (exp.f64 x) -2) (/.f64 -1/2 (exp.f64 x))) (exp.f64 x))) |
(-.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (+.f64 (exp.f64 x) (-.f64 (/.f64 (exp.f64 x) -2) (/.f64 -1/2 (exp.f64 x))))) |
(+.f64 (-.f64 (*.f64 (exp.f64 x) -1/2) (/.f64 1/2 (exp.f64 x))) (neg.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -2))) |
(-.f64 (/.f64 -1/2 (exp.f64 x)) (+.f64 (-.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 -2 (*.f64 (exp.f64 x) -1/2))) (exp.f64 x))) |
(-.f64 (neg.f64 (/.f64 1/2 (exp.f64 x))) (/.f64 1/2 (exp.f64 x))) |
(/.f64 -1 (exp.f64 x)) |
(-.f64 (-.f64 (/.f64 -1/4 (exp.f64 x)) (/.f64 1/2 (exp.f64 x))) (-.f64 0 (/.f64 -1/4 (exp.f64 x)))) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 2 (/.f64 -1/2 (exp.f64 x))) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 2 (*.f64 (/.f64 -1 (exp.f64 x)) 1/2)) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 -1 (exp.f64 (neg.f64 x))) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 (/.f64 -1 (exp.f64 x)) 1) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 1 (/.f64 -1 (exp.f64 x))) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 -2 (/.f64 1/2 (exp.f64 x))) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 -2 (*.f64 (exp.f64 (neg.f64 x)) 1/2)) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 (exp.f64 (neg.f64 x)) -1) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 (/.f64 -2 (exp.f64 x)) 1/2) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 -4 (/.f64 1/4 (exp.f64 x))) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 -4 (*.f64 (/.f64 1/2 (exp.f64 x)) 1/2)) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 -4 (/.f64 -1 (neg.f64 (*.f64 (exp.f64 x) 4)))) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 1/2 (/.f64 -2 (exp.f64 x))) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 (/.f64 1/4 (exp.f64 x)) -4) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 (/.f64 -4 (exp.f64 x)) 1/4) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 -8 (/.f64 1/2 (*.f64 (exp.f64 x) 4))) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 -8 (*.f64 (/.f64 1/4 (exp.f64 x)) 1/2)) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 -8 (/.f64 -1 (neg.f64 (*.f64 (*.f64 (exp.f64 x) 2) 4)))) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 (/.f64 -1/2 (exp.f64 x)) 2) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 4 (/.f64 -1/4 (exp.f64 x))) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 (/.f64 4 (exp.f64 x)) -1/4) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 8 (/.f64 -1 (*.f64 (*.f64 (exp.f64 x) 2) 4))) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 1/4 (/.f64 -4 (exp.f64 x))) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 (/.f64 1/2 (*.f64 (exp.f64 x) 4)) -8) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 (/.f64 1/2 (exp.f64 x)) -2) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 (/.f64 2 (exp.f64 x)) -1/2) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 (/.f64 -8 (exp.f64 x)) 1/8) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 -16 (/.f64 1 (*.f64 (*.f64 (exp.f64 x) 4) 4))) |
(/.f64 -1 (exp.f64 x)) |
(*.f64 -16 (/.f64 1/2 (*.f64 (*.f64 (exp.f64 x) 2) 4))) |
(/.f64 -1 (exp.f64 x)) |
(pow.f64 (/.f64 -1 (exp.f64 x)) 1) |
(/.f64 -1 (exp.f64 x)) |
(neg.f64 (exp.f64 (neg.f64 x))) |
(/.f64 -1 (exp.f64 x)) |
Compiled 11404 to 8621 computations (24.4% saved)
15 alts after pruning (3 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 676 | 1 | 677 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 11 | 11 |
| Total | 676 | 15 | 691 |
| Status | Error | Program |
|---|---|---|
| ✓ | 1.1b | (pow.f64 x 2) |
| ✓ | 29.4b | (-.f64 (-.f64 (exp.f64 x) 2) (/.f64 -1 (exp.f64 x))) |
| ✓ | 29.5b | (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
| ✓ | 30.1b | (-.f64 (+.f64 2 (pow.f64 x 2)) 2) |
| ✓ | 31.2b | (-.f64 2 2) |
| ✓ | 0.2b | (+.f64 (pow.f64 x 2) (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 1/360 (pow.f64 x 6)))) |
| ✓ | 0.3b | (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) |
| ✓ | 0.5b | (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
| ✓ | 29.5b | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| ▶ | 30.0b | (+.f64 (+.f64 (pow.f64 x 2) -1) 1) |
| ✓ | 60.1b | (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) |
| ✓ | 29.4b | (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) |
| ✓ | 31.0b | (+.f64 (exp.f64 x) -1) |
| ▶ | 28.2b | (*.f64 (-.f64 1 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) -1)) |
| 60.1b | x |
Compiled 135 to 108 computations (20% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.3b | (-.f64 1 (exp.f64 x)) |
| ✓ | 4.3b | (+.f64 (exp.f64 (neg.f64 x)) -1) |
Compiled 30 to 15 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (exp.f64 (neg.f64 x)) -1) |
| 0.0ms | x | @ | 0 | (-.f64 1 (exp.f64 x)) |
| 0.0ms | x | @ | inf | (-.f64 1 (exp.f64 x)) |
| 0.0ms | x | @ | inf | (+.f64 (exp.f64 (neg.f64 x)) -1) |
| 0.0ms | x | @ | -inf | (-.f64 1 (exp.f64 x)) |
| 1× | batch-egg-rewrite |
| 628× | rational_best-simplify-47 |
| 620× | rational_best-simplify-67 |
| 616× | rational_best-simplify-48 |
| 576× | rational_best-simplify-52 |
| 568× | rational_best-simplify-83 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 26 |
| 1 | 73 | 26 |
| 2 | 135 | 26 |
| 3 | 377 | 26 |
| 4 | 1344 | 26 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (exp.f64 (neg.f64 x)) -1) |
(-.f64 1 (exp.f64 x)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1230× | rational_best-simplify-67 |
| 1084× | rational_best-simplify-1 |
| 864× | rational_best-simplify-63 |
| 776× | rational_best-simplify-108 |
| 728× | rational_best-simplify-3 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 470 | 4975 |
| 1 | 1409 | 4769 |
| 2 | 4406 | 4507 |
| 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 -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)) (/.f64 (exp.f64 x) (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (exp.f64 x) (exp.f64 x)) 0)) |
(-.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 0 (exp.f64 x)) 1)) |
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (/.f64 (exp.f64 x) (neg.f64 (exp.f64 x))))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) 0) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (/.f64 0 (exp.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (+.f64 (/.f64 0 (exp.f64 x)) 0)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (+.f64 (/.f64 0 (exp.f64 x)) (/.f64 0 (exp.f64 x)))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (neg.f64 (/.f64 0 (exp.f64 x)))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (/.f64 0 (/.f64 (exp.f64 x) 2))) |
(-.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (-.f64 1/2 (/.f64 1/2 (exp.f64 x)))) |
(-.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 (*.f64 -2 (+.f64 (exp.f64 (neg.f64 x)) -1)) 4)) |
(-.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 1 (/.f64 1/2 (exp.f64 x)))) |
(-.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 (/.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) -2))) |
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(+.f64 (-.f64 (-.f64 1 (exp.f64 x)) 1) 1) |
(+.f64 (-.f64 (-.f64 1 (exp.f64 x)) (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 x))) |
(+.f64 (-.f64 (-.f64 1 (exp.f64 x)) (+.f64 1/2 (/.f64 (exp.f64 x) -2))) (neg.f64 (-.f64 (+.f64 -1 (exp.f64 x)) (+.f64 -1/2 (/.f64 (exp.f64 x) 2))))) |
(+.f64 (/.f64 (-.f64 2 (exp.f64 x)) 4) (/.f64 (+.f64 (-.f64 2 (exp.f64 x)) (*.f64 (exp.f64 x) -2)) 4)) |
(+.f64 (-.f64 (+.f64 1/2 (/.f64 (exp.f64 x) -2)) (neg.f64 (exp.f64 x))) (-.f64 (+.f64 1/2 (/.f64 (exp.f64 x) -2)) (exp.f64 x))) |
(+.f64 (-.f64 (+.f64 1/2 (/.f64 (exp.f64 x) -2)) 1) (+.f64 1 (+.f64 1/2 (/.f64 (exp.f64 x) -2)))) |
(*.f64 -1 (+.f64 -1 (exp.f64 x))) |
(*.f64 1 (-.f64 1 (exp.f64 x))) |
(*.f64 (-.f64 1 (exp.f64 x)) 1) |
(*.f64 (+.f64 -1 (exp.f64 x)) -1) |
(*.f64 2 (+.f64 1/2 (/.f64 (exp.f64 x) -2))) |
(*.f64 (+.f64 2 (*.f64 (exp.f64 x) -2)) 1/2) |
(*.f64 1/2 (+.f64 2 (*.f64 (exp.f64 x) -2))) |
(*.f64 (*.f64 (-.f64 1 (exp.f64 x)) 4) 1/4) |
(*.f64 1/4 (*.f64 (-.f64 1 (exp.f64 x)) 4)) |
(*.f64 (*.f64 (+.f64 2 (*.f64 (exp.f64 x) -2)) 4) 1/8) |
(/.f64 (-.f64 1 (exp.f64 x)) 1) |
(/.f64 (+.f64 -1 (exp.f64 x)) -1) |
(/.f64 (+.f64 2 (*.f64 (exp.f64 x) -2)) 2) |
(/.f64 (*.f64 (-.f64 1 (exp.f64 x)) 4) 4) |
(/.f64 (*.f64 (+.f64 2 (*.f64 (exp.f64 x) -2)) 4) 8) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) 2) 2) -2) |
(pow.f64 (-.f64 1 (exp.f64 x)) 1) |
(neg.f64 (+.f64 -1 (exp.f64 x))) |
| Outputs |
|---|
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (neg.f64 x) (/.f64 (pow.f64 x 2) -2)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (pow.f64 x 2))) (*.f64 -1/6 (pow.f64 x 3))) |
(-.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (/.f64 (pow.f64 x 2) -2))) |
(+.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 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (neg.f64 x) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (+.f64 (neg.f64 x) (*.f64 1/24 (pow.f64 x 4))) (*.f64 -1/6 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (neg.f64 x) (*.f64 1/24 (pow.f64 x 4))))) |
(-.f64 (exp.f64 (neg.f64 x)) 1) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) 1) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) 1) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) 1) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 (*.f64 -1 x)) 1) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 (*.f64 -1 x)) 1) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 (*.f64 -1 x)) 1) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 (*.f64 -1 x)) 1) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 (neg.f64 x) (+.f64 (*.f64 (pow.f64 x 2) -1/2) (*.f64 -1/6 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (neg.f64 x) (*.f64 (pow.f64 x 2) -1/2))) |
(+.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 (+.f64 (neg.f64 x) (*.f64 (pow.f64 x 4) -1/24)) (+.f64 (*.f64 (pow.f64 x 2) -1/2) (*.f64 -1/6 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (neg.f64 x) (+.f64 (*.f64 (pow.f64 x 2) -1/2) (*.f64 (pow.f64 x 4) -1/24)))) |
(-.f64 (exp.f64 (neg.f64 x)) 1) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 x) (exp.f64 x))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (exp.f64 x) (exp.f64 x)) 0)) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 0 (exp.f64 x)) 1)) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (/.f64 (exp.f64 x) (neg.f64 (exp.f64 x))))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) 0) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (/.f64 0 (exp.f64 x))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (+.f64 (/.f64 0 (exp.f64 x)) 0)) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (+.f64 (/.f64 0 (exp.f64 x)) (/.f64 0 (exp.f64 x)))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (neg.f64 (/.f64 0 (exp.f64 x)))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (/.f64 0 (/.f64 (exp.f64 x) 2))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (-.f64 1/2 (/.f64 1/2 (exp.f64 x)))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 (*.f64 -2 (+.f64 (exp.f64 (neg.f64 x)) -1)) 4)) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 1 (/.f64 1/2 (exp.f64 x)))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 (/.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) -2))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 (-.f64 1/2 (/.f64 1/2 (exp.f64 x))) 1/2)) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 (-.f64 1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 (exp.f64 x) (*.f64 (exp.f64 x) 2)))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 1/2 (exp.f64 x)) (/.f64 (+.f64 -1 (*.f64 (exp.f64 x) 2)) (*.f64 (exp.f64 x) 2))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 1/2 (exp.f64 x)) (/.f64 (+.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))) 2)) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 1/2 (exp.f64 x)) (/.f64 (+.f64 2 (/.f64 -1 (exp.f64 x))) 2)) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 -1 (/.f64 1/2 (exp.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (/.f64 (-.f64 0 (/.f64 (*.f64 (-.f64 1 (exp.f64 x)) 3) 2)) (*.f64 (exp.f64 x) 2))) |
(-.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (/.f64 (neg.f64 (/.f64 (*.f64 3 (-.f64 1 (exp.f64 x))) 2)) (*.f64 2 (exp.f64 x)))) |
(-.f64 (/.f64 (*.f64 3 (-.f64 1 (exp.f64 x))) (*.f64 4 (exp.f64 x))) (+.f64 1/4 (neg.f64 (/.f64 1/4 (exp.f64 x))))) |
(+.f64 -1/4 (/.f64 (+.f64 (*.f64 3 (-.f64 1 (exp.f64 x))) 1) (*.f64 4 (exp.f64 x)))) |
(-.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (-.f64 (-.f64 1/2 (/.f64 1/2 (exp.f64 x))) (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))))) |
(-.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (-.f64 (+.f64 3/4 (neg.f64 (/.f64 1/4 (exp.f64 x)))) (/.f64 1/2 (exp.f64 x)))) |
(-.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (+.f64 (neg.f64 (/.f64 1/4 (exp.f64 x))) (-.f64 3/4 (/.f64 1/2 (exp.f64 x))))) |
(/.f64 (+.f64 -3 (/.f64 (-.f64 (-.f64 3 (exp.f64 x)) -1) (exp.f64 x))) 4) |
(-.f64 (+.f64 -1/2 (exp.f64 (neg.f64 x))) 1/2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) -1/2) 1/2) |
(-.f64 (/.f64 (exp.f64 x) (neg.f64 (exp.f64 x))) (/.f64 -1 (exp.f64 x))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 0 (exp.f64 x)) (-.f64 1 (exp.f64 (neg.f64 x)))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))) (-.f64 0 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))))) |
(-.f64 (+.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (+.f64 -1/4 (/.f64 1/4 (exp.f64 x)))) (+.f64 1/4 (neg.f64 (/.f64 1/4 (exp.f64 x))))) |
(-.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (neg.f64 (+.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 (/.f64 1/4 (exp.f64 x)) -3/4)))) |
(+.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (neg.f64 (+.f64 1/2 (neg.f64 (/.f64 1/2 (exp.f64 x)))))) |
(-.f64 (+.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))) (-.f64 (/.f64 0 (exp.f64 x)) (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))))) |
(-.f64 (+.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (+.f64 -1/4 (/.f64 1/4 (exp.f64 x)))) (+.f64 1/4 (neg.f64 (/.f64 1/4 (exp.f64 x))))) |
(-.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (neg.f64 (+.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 (/.f64 1/4 (exp.f64 x)) -3/4)))) |
(+.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (neg.f64 (+.f64 1/2 (neg.f64 (/.f64 1/2 (exp.f64 x)))))) |
(-.f64 (-.f64 (/.f64 1/2 (exp.f64 x)) (/.f64 (exp.f64 x) (exp.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) -2)) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 0 (exp.f64 x))) 1) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 0 (exp.f64 x))) (/.f64 (exp.f64 x) (exp.f64 x))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (-.f64 (/.f64 0 (exp.f64 x)) (/.f64 0 (exp.f64 x))) (-.f64 1 (exp.f64 (neg.f64 x)))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (-.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 1/2 (/.f64 1/2 (exp.f64 x)))) 1/2) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (-.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 1/2 (/.f64 1/2 (exp.f64 x)))) (/.f64 (exp.f64 x) (*.f64 (exp.f64 x) 2))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 (-.f64 2 (exp.f64 x)) (*.f64 (exp.f64 x) 2)) (/.f64 (exp.f64 x) (*.f64 (exp.f64 x) 2))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (exp.f64 x)) 3) 2) (*.f64 (exp.f64 x) 2)) (/.f64 (+.f64 -1/2 (/.f64 (exp.f64 x) 2)) (*.f64 (exp.f64 x) 2))) |
(-.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (/.f64 (neg.f64 (/.f64 (*.f64 3 (-.f64 1 (exp.f64 x))) 2)) (*.f64 2 (exp.f64 x)))) |
(-.f64 (/.f64 (*.f64 3 (-.f64 1 (exp.f64 x))) (*.f64 4 (exp.f64 x))) (+.f64 1/4 (neg.f64 (/.f64 1/4 (exp.f64 x))))) |
(+.f64 -1/4 (/.f64 (+.f64 (*.f64 3 (-.f64 1 (exp.f64 x))) 1) (*.f64 4 (exp.f64 x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) 3) 2) 2) (/.f64 (-.f64 1/2 (/.f64 1/2 (exp.f64 x))) 2)) |
(-.f64 (/.f64 (*.f64 3 (+.f64 -1 (exp.f64 (neg.f64 x)))) 4) (-.f64 1/4 (/.f64 (/.f64 1/2 (exp.f64 x)) 2))) |
(/.f64 (-.f64 (*.f64 3 (+.f64 -1 (exp.f64 (neg.f64 x)))) (-.f64 1 (exp.f64 (neg.f64 x)))) 4) |
(-.f64 (/.f64 0 (/.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 (neg.f64 x)))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 1/2 (/.f64 (exp.f64 x) 2)) (/.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 x) 2))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 (*.f64 (-.f64 1 (exp.f64 x)) 3) (*.f64 (exp.f64 x) 4)) (/.f64 (+.f64 -1 (exp.f64 x)) (*.f64 (exp.f64 x) 4))) |
(-.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (/.f64 (neg.f64 (/.f64 (*.f64 3 (-.f64 1 (exp.f64 x))) 2)) (*.f64 2 (exp.f64 x)))) |
(-.f64 (/.f64 (*.f64 3 (-.f64 1 (exp.f64 x))) (*.f64 4 (exp.f64 x))) (+.f64 1/4 (neg.f64 (/.f64 1/4 (exp.f64 x))))) |
(+.f64 -1/4 (/.f64 (+.f64 (*.f64 3 (-.f64 1 (exp.f64 x))) 1) (*.f64 4 (exp.f64 x)))) |
(-.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) 3) 4) (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 4)) |
(-.f64 (/.f64 (*.f64 3 (+.f64 -1 (exp.f64 (neg.f64 x)))) 4) (-.f64 1/4 (/.f64 (/.f64 1/2 (exp.f64 x)) 2))) |
(/.f64 (-.f64 (*.f64 3 (+.f64 -1 (exp.f64 (neg.f64 x)))) (-.f64 1 (exp.f64 (neg.f64 x)))) 4) |
(-.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))) 2) (/.f64 (+.f64 3/2 (/.f64 (exp.f64 (neg.f64 x)) -2)) 2)) |
(-.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (-.f64 (+.f64 3/4 (neg.f64 (/.f64 1/4 (exp.f64 x)))) (/.f64 1/2 (exp.f64 x)))) |
(-.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (+.f64 (neg.f64 (/.f64 1/4 (exp.f64 x))) (-.f64 3/4 (/.f64 1/2 (exp.f64 x))))) |
(/.f64 (+.f64 -3 (/.f64 (-.f64 (-.f64 3 (exp.f64 x)) -1) (exp.f64 x))) 4) |
(-.f64 (/.f64 (+.f64 1 (+.f64 1/2 (/.f64 (exp.f64 x) -2))) (*.f64 (exp.f64 x) 2)) (/.f64 (+.f64 (*.f64 3 (/.f64 (exp.f64 x) 2)) -1/2) (*.f64 (exp.f64 x) 2))) |
(-.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (-.f64 (+.f64 3/4 (neg.f64 (/.f64 1/4 (exp.f64 x)))) (/.f64 1/2 (exp.f64 x)))) |
(-.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (+.f64 (neg.f64 (/.f64 1/4 (exp.f64 x))) (-.f64 3/4 (/.f64 1/2 (exp.f64 x))))) |
(/.f64 (+.f64 -3 (/.f64 (-.f64 (-.f64 3 (exp.f64 x)) -1) (exp.f64 x))) 4) |
(-.f64 (/.f64 (/.f64 (+.f64 (-.f64 1 (exp.f64 x)) 2) (exp.f64 x)) 4) (/.f64 (+.f64 3 (/.f64 -1 (exp.f64 x))) 4)) |
(-.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (-.f64 (+.f64 3/4 (neg.f64 (/.f64 1/4 (exp.f64 x)))) (/.f64 1/2 (exp.f64 x)))) |
(-.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (+.f64 (neg.f64 (/.f64 1/4 (exp.f64 x))) (-.f64 3/4 (/.f64 1/2 (exp.f64 x))))) |
(/.f64 (+.f64 -3 (/.f64 (-.f64 (-.f64 3 (exp.f64 x)) -1) (exp.f64 x))) 4) |
(-.f64 (+.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (/.f64 1/2 (exp.f64 x))) (-.f64 1/2 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))))) |
(-.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (-.f64 (+.f64 3/4 (neg.f64 (/.f64 1/4 (exp.f64 x)))) (/.f64 1/2 (exp.f64 x)))) |
(-.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (+.f64 (neg.f64 (/.f64 1/4 (exp.f64 x))) (-.f64 3/4 (/.f64 1/2 (exp.f64 x))))) |
(/.f64 (+.f64 -3 (/.f64 (-.f64 (-.f64 3 (exp.f64 x)) -1) (exp.f64 x))) 4) |
(-.f64 (+.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (/.f64 1/2 (exp.f64 x))) (-.f64 (/.f64 (exp.f64 x) (*.f64 (exp.f64 x) 2)) (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))))) |
(-.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (-.f64 (+.f64 3/4 (neg.f64 (/.f64 1/4 (exp.f64 x)))) (/.f64 1/2 (exp.f64 x)))) |
(-.f64 (+.f64 -1/4 (/.f64 1/4 (exp.f64 x))) (+.f64 (neg.f64 (/.f64 1/4 (exp.f64 x))) (-.f64 3/4 (/.f64 1/2 (exp.f64 x))))) |
(/.f64 (+.f64 -3 (/.f64 (-.f64 (-.f64 3 (exp.f64 x)) -1) (exp.f64 x))) 4) |
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 1 (exp.f64 x))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1/2 (/.f64 (exp.f64 x) -2)) 1/2)) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (*.f64 4 (-.f64 1/4 (/.f64 (exp.f64 x) 4)))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(*.f64 -1 (-.f64 1 (exp.f64 (neg.f64 x)))) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) 1) |
(+.f64 -1 (exp.f64 (neg.f64 x))) |
(*.f64 1 (+.f64 (exp.f64 (neg.f64 x)) -1)) |
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(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(+.f64 (-.f64 1 (exp.f64 x)) 0) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(+.f64 0 (-.f64 1 (exp.f64 x))) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(+.f64 0 (-.f64 (+.f64 1/2 (/.f64 (exp.f64 x) -2)) (-.f64 (+.f64 -1 (exp.f64 x)) (+.f64 -1/2 (/.f64 (exp.f64 x) 2))))) |
(-.f64 (+.f64 1/2 (/.f64 (exp.f64 x) -2)) (-.f64 (+.f64 -1 (exp.f64 x)) (+.f64 -1/2 (/.f64 (exp.f64 x) 2)))) |
(-.f64 (+.f64 -1/2 (/.f64 (exp.f64 x) 2)) (-.f64 (+.f64 -1 (exp.f64 x)) (+.f64 1/2 (/.f64 (exp.f64 x) -2)))) |
(-.f64 (+.f64 -1/2 (/.f64 (exp.f64 x) 2)) (-.f64 (exp.f64 x) (+.f64 3/2 (/.f64 (exp.f64 x) -2)))) |
(+.f64 (neg.f64 (exp.f64 x)) 1) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(+.f64 (+.f64 2 (*.f64 (exp.f64 x) -2)) (+.f64 -1 (exp.f64 x))) |
(+.f64 (exp.f64 x) (+.f64 -1 (+.f64 2 (*.f64 (exp.f64 x) -2)))) |
(+.f64 (exp.f64 x) (+.f64 1 (*.f64 (exp.f64 x) -2))) |
(+.f64 1/2 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) -2)) 2)) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(+.f64 1/2 (+.f64 (/.f64 (exp.f64 x) -2) (+.f64 1/2 (/.f64 (exp.f64 x) -2)))) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(+.f64 (+.f64 1/2 (/.f64 (exp.f64 x) -2)) (+.f64 1/2 (/.f64 (exp.f64 x) -2))) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (exp.f64 x)) 3) 2) (+.f64 -1/2 (/.f64 (exp.f64 x) 2))) |
(+.f64 (/.f64 (exp.f64 x) 2) (+.f64 -1/2 (/.f64 (*.f64 3 (-.f64 1 (exp.f64 x))) 2))) |
(+.f64 -1/2 (+.f64 (/.f64 (exp.f64 x) 2) (/.f64 (*.f64 3 (-.f64 1 (exp.f64 x))) 2))) |
(+.f64 -1/2 (+.f64 (/.f64 (exp.f64 x) 2) (/.f64 (*.f64 (-.f64 1 (exp.f64 x)) 6) 4))) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (exp.f64 x)) 3) 2) (-.f64 (+.f64 1/2 (/.f64 (exp.f64 x) -2)) (-.f64 1 (exp.f64 x)))) |
(+.f64 (/.f64 (*.f64 3 (-.f64 1 (exp.f64 x))) 2) (-.f64 (exp.f64 x) (-.f64 1 (+.f64 1/2 (/.f64 (exp.f64 x) -2))))) |
(+.f64 (/.f64 (*.f64 3 (-.f64 1 (exp.f64 x))) 2) (-.f64 (exp.f64 x) (+.f64 1/2 (neg.f64 (/.f64 (exp.f64 x) -2))))) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (exp.f64 x)) 6) 4) (*.f64 -1/2 (-.f64 1 (exp.f64 x)))) |
(+.f64 (/.f64 (exp.f64 x) -2) (-.f64 1 (/.f64 (exp.f64 x) 2))) |
(+.f64 (/.f64 (exp.f64 x) -2) (/.f64 (-.f64 2 (exp.f64 x)) 2)) |
(+.f64 (/.f64 (exp.f64 x) -2) (+.f64 (/.f64 (exp.f64 x) -2) 1)) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(+.f64 (-.f64 1 (/.f64 (exp.f64 x) 2)) (/.f64 (exp.f64 x) -2)) |
(+.f64 (/.f64 (exp.f64 x) -2) (-.f64 1 (/.f64 (exp.f64 x) 2))) |
(+.f64 (/.f64 (exp.f64 x) -2) (/.f64 (-.f64 2 (exp.f64 x)) 2)) |
(+.f64 (+.f64 (/.f64 (exp.f64 x) -2) 1) (/.f64 (exp.f64 x) -2)) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(+.f64 (-.f64 1/4 (/.f64 (exp.f64 x) 4)) (+.f64 (-.f64 1/4 (/.f64 (exp.f64 x) 4)) (+.f64 1/2 (/.f64 (exp.f64 x) -2)))) |
(+.f64 (+.f64 1/2 (/.f64 (exp.f64 x) -2)) (+.f64 (-.f64 1/4 (/.f64 (exp.f64 x) 4)) (-.f64 1/4 (/.f64 (exp.f64 x) 4)))) |
(+.f64 (+.f64 1/2 (/.f64 (exp.f64 x) -2)) (*.f64 2 (-.f64 1/4 (/.f64 (exp.f64 x) 4)))) |
(+.f64 (-.f64 1/4 (/.f64 (exp.f64 x) 4)) (/.f64 (*.f64 (-.f64 1 (exp.f64 x)) 3) 4)) |
(+.f64 (-.f64 1/4 (/.f64 (exp.f64 x) 4)) (/.f64 (*.f64 3 (-.f64 1 (exp.f64 x))) 4)) |
(+.f64 (-.f64 1/4 (/.f64 (exp.f64 x) 4)) (/.f64 (/.f64 (*.f64 (-.f64 1 (exp.f64 x)) 3) 2) 2)) |
(+.f64 (-.f64 1/4 (/.f64 (exp.f64 x) 4)) (/.f64 (*.f64 3 (-.f64 1 (exp.f64 x))) 4)) |
(+.f64 (-.f64 (+.f64 1/2 (/.f64 (exp.f64 x) -2)) (-.f64 1 (exp.f64 x))) (/.f64 (*.f64 (-.f64 1 (exp.f64 x)) 3) 2)) |
(+.f64 (/.f64 (*.f64 3 (-.f64 1 (exp.f64 x))) 2) (-.f64 (exp.f64 x) (-.f64 1 (+.f64 1/2 (/.f64 (exp.f64 x) -2))))) |
(+.f64 (/.f64 (*.f64 3 (-.f64 1 (exp.f64 x))) 2) (-.f64 (exp.f64 x) (+.f64 1/2 (neg.f64 (/.f64 (exp.f64 x) -2))))) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (exp.f64 x)) 6) 4) (*.f64 -1/2 (-.f64 1 (exp.f64 x)))) |
(+.f64 (-.f64 (-.f64 1 (exp.f64 x)) 1) 1) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(+.f64 (-.f64 (-.f64 1 (exp.f64 x)) (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 x))) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(+.f64 (-.f64 (-.f64 1 (exp.f64 x)) (+.f64 1/2 (/.f64 (exp.f64 x) -2))) (neg.f64 (-.f64 (+.f64 -1 (exp.f64 x)) (+.f64 -1/2 (/.f64 (exp.f64 x) 2))))) |
(-.f64 (-.f64 1 (exp.f64 x)) (+.f64 (+.f64 1/2 (/.f64 (exp.f64 x) -2)) (-.f64 (+.f64 -1 (exp.f64 x)) (+.f64 -1/2 (/.f64 (exp.f64 x) 2))))) |
(-.f64 (+.f64 1/2 (neg.f64 (/.f64 (exp.f64 x) -2))) (+.f64 (exp.f64 x) (-.f64 (+.f64 -1 (exp.f64 x)) (+.f64 -1/2 (/.f64 (exp.f64 x) 2))))) |
(-.f64 (+.f64 -1/2 (/.f64 (exp.f64 x) 2)) (+.f64 (*.f64 -1/2 (-.f64 1 (exp.f64 x))) (+.f64 -1 (exp.f64 x)))) |
(+.f64 (/.f64 (-.f64 2 (exp.f64 x)) 4) (/.f64 (+.f64 (-.f64 2 (exp.f64 x)) (*.f64 (exp.f64 x) -2)) 4)) |
(/.f64 (+.f64 (-.f64 2 (exp.f64 x)) (+.f64 (-.f64 2 (exp.f64 x)) (*.f64 (exp.f64 x) -2))) 4) |
(/.f64 (+.f64 (*.f64 (exp.f64 x) -2) (+.f64 (-.f64 2 (exp.f64 x)) (-.f64 2 (exp.f64 x)))) 4) |
(+.f64 (-.f64 (+.f64 1/2 (/.f64 (exp.f64 x) -2)) (neg.f64 (exp.f64 x))) (-.f64 (+.f64 1/2 (/.f64 (exp.f64 x) -2)) (exp.f64 x))) |
(+.f64 (+.f64 1 (*.f64 -1/2 (-.f64 1 (exp.f64 x)))) (-.f64 (+.f64 1/2 (/.f64 (exp.f64 x) -2)) (exp.f64 x))) |
(+.f64 (-.f64 (+.f64 1/2 (/.f64 (exp.f64 x) -2)) 1) (+.f64 1 (+.f64 1/2 (/.f64 (exp.f64 x) -2)))) |
(+.f64 (+.f64 (/.f64 (exp.f64 x) -2) 3/2) (+.f64 (+.f64 1/2 (/.f64 (exp.f64 x) -2)) -1)) |
(+.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (exp.f64 x) -2)) (+.f64 3/2 (/.f64 (exp.f64 x) -2)))) |
(*.f64 -1 (+.f64 -1 (exp.f64 x))) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(*.f64 1 (-.f64 1 (exp.f64 x))) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(*.f64 (-.f64 1 (exp.f64 x)) 1) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(*.f64 (+.f64 -1 (exp.f64 x)) -1) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(*.f64 2 (+.f64 1/2 (/.f64 (exp.f64 x) -2))) |
(*.f64 (+.f64 2 (*.f64 (exp.f64 x) -2)) 1/2) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(*.f64 1/2 (+.f64 2 (*.f64 (exp.f64 x) -2))) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(*.f64 (*.f64 (-.f64 1 (exp.f64 x)) 4) 1/4) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(*.f64 1/4 (*.f64 (-.f64 1 (exp.f64 x)) 4)) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(*.f64 (*.f64 (+.f64 2 (*.f64 (exp.f64 x) -2)) 4) 1/8) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(/.f64 (-.f64 1 (exp.f64 x)) 1) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(/.f64 (+.f64 -1 (exp.f64 x)) -1) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(/.f64 (+.f64 2 (*.f64 (exp.f64 x) -2)) 2) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(/.f64 (*.f64 (-.f64 1 (exp.f64 x)) 4) 4) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(/.f64 (*.f64 (+.f64 2 (*.f64 (exp.f64 x) -2)) 4) 8) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) 2) 2) -2) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(pow.f64 (-.f64 1 (exp.f64 x)) 1) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
(neg.f64 (+.f64 -1 (exp.f64 x))) |
(+.f64 1 (neg.f64 (exp.f64 x))) |
(-.f64 1 (exp.f64 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (pow.f64 x 2) -1) |
| ✓ | 3.3b | (+.f64 (+.f64 (pow.f64 x 2) -1) 1) |
Compiled 20 to 16 computations (20% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (+.f64 (pow.f64 x 2) -1) 1) |
| 0.0ms | x | @ | 0 | (+.f64 (pow.f64 x 2) -1) |
| 0.0ms | x | @ | inf | (+.f64 (pow.f64 x 2) -1) |
| 0.0ms | x | @ | -inf | (+.f64 (pow.f64 x 2) -1) |
| 0.0ms | x | @ | inf | (+.f64 (+.f64 (pow.f64 x 2) -1) 1) |
| 1× | batch-egg-rewrite |
| 1846× | rational_best-1 |
| 1844× | rational_best-4 |
| 1844× | rational_best-2 |
| 1844× | rational_best-3 |
| 1844× | exponential-1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 59 | 20 |
| 2 | 100 | 20 |
| 3 | 224 | 20 |
| 4 | 756 | 20 |
| 5 | 4672 | 20 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 (pow.f64 x 2) -1) 1) |
(+.f64 (pow.f64 x 2) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (pow.f64 x 2)) (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (pow.f64 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 2) 2) (/.f64 (pow.f64 x 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (+.f64 -1/2 (/.f64 (pow.f64 x 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (+.f64 (/.f64 (pow.f64 x 2) -2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (/.f64 (+.f64 -1 (neg.f64 (pow.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (/.f64 (+.f64 -2 (-.f64 1 (pow.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (/.f64 (neg.f64 (+.f64 (pow.f64 x 2) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) -3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) 2)) (+.f64 1/2 (/.f64 (pow.f64 x 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/2 (pow.f64 x 2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 2)) (-.f64 0 (/.f64 (pow.f64 x 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) 2)) (/.f64 (pow.f64 x 2) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) 3) 2)) 2) (/.f64 (+.f64 -1 (/.f64 (pow.f64 x 2) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2)) 2) (/.f64 (+.f64 -1/2 (/.f64 (pow.f64 x 2) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x 2) 3) 2) 2) (/.f64 (/.f64 (pow.f64 x 2) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 3)) 2) 2) (/.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 2) 3) 4) (/.f64 (neg.f64 (pow.f64 x 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) 2) 2) (/.f64 (+.f64 -3/2 (/.f64 (pow.f64 x 2) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 3) 2) 4) (/.f64 (-.f64 -2 (pow.f64 x 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 (pow.f64 x 2) 3) 2)) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 x 2) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 3)) 2)) 2) (/.f64 (+.f64 3/2 (/.f64 (pow.f64 x 2) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2)) (-.f64 -1/2 (/.f64 (pow.f64 x 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (+.f64 1/2 (/.f64 (pow.f64 x 2) 2))) (-.f64 1/2 (/.f64 (pow.f64 x 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x x) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (pow.f64 (+.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (+.f64 x x) 2)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 4) 2) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x x) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (+.f64 x x) 2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 x x) 2)) (*.f64 2 (pow.f64 (+.f64 x x) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 2) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1)) (+.f64 (pow.f64 x 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (pow.f64 x 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 2) 2) (+.f64 1 (/.f64 (pow.f64 x 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 2) 2) (/.f64 (+.f64 1 (-.f64 1 (pow.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 2) 2) (/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (+.f64 1/2 (/.f64 (pow.f64 x 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 (pow.f64 x 2) 2)) (/.f64 (pow.f64 x 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) -3) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) 3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) 2)) (+.f64 3/2 (/.f64 (pow.f64 x 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) 2)) (/.f64 (-.f64 3 (pow.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/2 (pow.f64 x 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4) (+.f64 1/2 (/.f64 (pow.f64 x 2) 2))) (-.f64 1 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4) (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2)) (-.f64 0 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (pow.f64 x 2) -2) 2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (pow.f64 x 2) -1) 3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 -1 (/.f64 (pow.f64 x 2) 2)) (+.f64 1/2 (/.f64 (pow.f64 x 2) -2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) -3) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2)) 2) (/.f64 (+.f64 3/2 (/.f64 (pow.f64 x 2) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 3)) 2) 2) (/.f64 (+.f64 5/2 (/.f64 (pow.f64 x 2) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (-.f64 (*.f64 (pow.f64 x 2) 3) 2)) 4) (/.f64 (-.f64 3 (pow.f64 x 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) 2) 2) (/.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) 4) (/.f64 (-.f64 1 (pow.f64 x 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) 2)) 2) (/.f64 (+.f64 -1/2 (/.f64 (pow.f64 x 2) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4) (/.f64 (pow.f64 x 2) 2)) (-.f64 1/2 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4) (+.f64 -1 (/.f64 (pow.f64 x 2) 2))) (-.f64 -1/2 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 x 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (pow.f64 x 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (pow.f64 x 2) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 x 2) -1) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 x 2) -1) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 x 2) -1) 4)) (*.f64 2 (*.f64 (+.f64 (pow.f64 x 2) -1) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x 2) -1) 1))))) |
| 1× | egg-herbie |
| 1054× | rational_best-simplify-48 |
| 1036× | rational_best-simplify-47 |
| 874× | rational_best-simplify-52 |
| 708× | rational_best-simplify-57 |
| 580× | rational_best-simplify-3 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 224 | 1417 |
| 1 | 567 | 1417 |
| 2 | 1578 | 1393 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
-1 |
(-.f64 (pow.f64 x 2) 1) |
(-.f64 (pow.f64 x 2) 1) |
(-.f64 (pow.f64 x 2) 1) |
(pow.f64 x 2) |
(-.f64 (pow.f64 x 2) 1) |
(-.f64 (pow.f64 x 2) 1) |
(-.f64 (pow.f64 x 2) 1) |
(pow.f64 x 2) |
(-.f64 (pow.f64 x 2) 1) |
(-.f64 (pow.f64 x 2) 1) |
(-.f64 (pow.f64 x 2) 1) |
(-.f64 (pow.f64 x 2) 0) |
(-.f64 (+.f64 (pow.f64 x 2) -1) -1) |
(-.f64 (+.f64 (pow.f64 x 2) 1) 1) |
(-.f64 (*.f64 2 (pow.f64 x 2)) (pow.f64 x 2)) |
(-.f64 (+.f64 (pow.f64 x 2) -2) -2) |
(-.f64 (+.f64 2 (pow.f64 x 2)) 2) |
(-.f64 (/.f64 (pow.f64 x 2) 2) (/.f64 (pow.f64 x 2) -2)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (+.f64 -1/2 (/.f64 (pow.f64 x 2) -2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (+.f64 (/.f64 (pow.f64 x 2) -2) -1/2)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) 2)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (/.f64 (+.f64 -1 (neg.f64 (pow.f64 x 2))) 2)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (/.f64 (+.f64 -2 (-.f64 1 (pow.f64 x 2))) 2)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (/.f64 (neg.f64 (+.f64 (pow.f64 x 2) 1)) 2)) |
(-.f64 (+.f64 (pow.f64 x 2) -3) -3) |
(-.f64 (+.f64 (pow.f64 x 2) 3) 3) |
(-.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) 2)) (+.f64 1/2 (/.f64 (pow.f64 x 2) -2))) |
(-.f64 (+.f64 -1/2 (pow.f64 x 2)) -1/2) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 2)) (-.f64 0 (/.f64 (pow.f64 x 2) 4))) |
(-.f64 (-.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) 2)) (/.f64 (pow.f64 x 2) -2)) 1/2) |
(-.f64 (/.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) 2) 1/2) |
(-.f64 (/.f64 (+.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) 3) 2)) 2) (/.f64 (+.f64 -1 (/.f64 (pow.f64 x 2) -2)) 2)) |
(-.f64 (/.f64 (+.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2)) 2) (/.f64 (+.f64 -1/2 (/.f64 (pow.f64 x 2) -2)) 2)) |
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x 2) 3) 2) 2) (/.f64 (/.f64 (pow.f64 x 2) -2) 2)) |
(-.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 3)) 2) 2) (/.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) -2)) 2)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3) 4) (/.f64 (neg.f64 (pow.f64 x 2)) 4)) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) 2) 2) (/.f64 (+.f64 -3/2 (/.f64 (pow.f64 x 2) -2)) 2)) |
(-.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 3) 2) 4) (/.f64 (-.f64 -2 (pow.f64 x 2)) 4)) |
(-.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 (pow.f64 x 2) 3) 2)) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 x 2) -2)) 2)) |
(-.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 3)) 2)) 2) (/.f64 (+.f64 3/2 (/.f64 (pow.f64 x 2) -2)) 2)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2)) (-.f64 -1/2 (/.f64 (pow.f64 x 2) 4))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (+.f64 1/2 (/.f64 (pow.f64 x 2) 2))) (-.f64 1/2 (/.f64 (pow.f64 x 2) 4))) |
(*.f64 2 (*.f64 (pow.f64 x 2) 1/2)) |
(*.f64 (pow.f64 x 2) 1) |
(*.f64 1 (pow.f64 x 2)) |
(*.f64 (*.f64 2 (pow.f64 x 2)) 1/2) |
(*.f64 1/2 (*.f64 2 (pow.f64 x 2))) |
(*.f64 (pow.f64 (+.f64 x x) 2) 1/4) |
(*.f64 1/4 (pow.f64 (+.f64 x x) 2)) |
(*.f64 (*.f64 2 (pow.f64 (+.f64 x x) 2)) 1/8) |
(*.f64 (pow.f64 (*.f64 x 4) 2) 1/16) |
(/.f64 (pow.f64 x 2) 1) |
(/.f64 (*.f64 2 (pow.f64 x 2)) 2) |
(/.f64 (pow.f64 (+.f64 x x) 2) 4) |
(/.f64 (*.f64 2 (pow.f64 (+.f64 x x) 2)) 8) |
(/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 x x) 2)) (*.f64 2 (pow.f64 (+.f64 x x) 2))) 16) |
(pow.f64 x 2) |
(pow.f64 (pow.f64 x 2) 1) |
(-.f64 (pow.f64 x 2) 1) |
(-.f64 (+.f64 (pow.f64 x 2) -1) 0) |
(-.f64 (+.f64 (pow.f64 x 2) 1) 2) |
(-.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1)) (+.f64 (pow.f64 x 2) -1)) |
(-.f64 (+.f64 (pow.f64 x 2) -2) -1) |
(-.f64 (+.f64 2 (pow.f64 x 2)) 3) |
(-.f64 (/.f64 (pow.f64 x 2) 2) (+.f64 1 (/.f64 (pow.f64 x 2) -2))) |
(-.f64 (/.f64 (pow.f64 x 2) 2) (/.f64 (+.f64 1 (-.f64 1 (pow.f64 x 2))) 2)) |
(-.f64 (/.f64 (pow.f64 x 2) 2) (/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 2)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (+.f64 1/2 (/.f64 (pow.f64 x 2) -2))) |
(-.f64 (+.f64 -1 (/.f64 (pow.f64 x 2) 2)) (/.f64 (pow.f64 x 2) -2)) |
(-.f64 (+.f64 (pow.f64 x 2) -3) -2) |
(-.f64 (+.f64 (pow.f64 x 2) 3) 4) |
(-.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) 2)) (+.f64 3/2 (/.f64 (pow.f64 x 2) -2))) |
(-.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) 2)) (/.f64 (-.f64 3 (pow.f64 x 2)) 2)) |
(-.f64 (+.f64 -1/2 (pow.f64 x 2)) 1/2) |
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4) (+.f64 1/2 (/.f64 (pow.f64 x 2) 2))) (-.f64 1 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4))) |
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4) (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2)) (-.f64 0 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4))) |
(-.f64 (-.f64 (+.f64 (pow.f64 x 2) -2) 2) -3) |
(-.f64 (-.f64 (+.f64 (pow.f64 x 2) -1) 3) -3) |
(-.f64 (-.f64 (+.f64 -1 (/.f64 (pow.f64 x 2) 2)) (+.f64 1/2 (/.f64 (pow.f64 x 2) -2))) -1/2) |
(-.f64 (/.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) -3) 2) -1/2) |
(-.f64 (/.f64 (+.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2)) 2) (/.f64 (+.f64 3/2 (/.f64 (pow.f64 x 2) -2)) 2)) |
(-.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 3)) 2) 2) (/.f64 (+.f64 5/2 (/.f64 (pow.f64 x 2) -2)) 2)) |
(-.f64 (/.f64 (+.f64 1 (-.f64 (*.f64 (pow.f64 x 2) 3) 2)) 4) (/.f64 (-.f64 3 (pow.f64 x 2)) 4)) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) 2) 2) (/.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) -2)) 2)) |
(-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) 4) (/.f64 (-.f64 1 (pow.f64 x 2)) 4)) |
(-.f64 (/.f64 (+.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) 2)) 2) (/.f64 (+.f64 -1/2 (/.f64 (pow.f64 x 2) -2)) 2)) |
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4) (/.f64 (pow.f64 x 2) 2)) (-.f64 1/2 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4))) |
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4) (+.f64 -1 (/.f64 (pow.f64 x 2) 2))) (-.f64 -1/2 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4))) |
(*.f64 2 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2)) |
(*.f64 (+.f64 (pow.f64 x 2) -1) 1) |
(*.f64 1 (+.f64 (pow.f64 x 2) -1)) |
(*.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1)) 1/2) |
(*.f64 1/2 (*.f64 2 (+.f64 (pow.f64 x 2) -1))) |
(*.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 4) 1/4) |
(*.f64 1/4 (*.f64 (+.f64 (pow.f64 x 2) -1) 4)) |
(*.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 x 2) -1) 4)) 1/8) |
(/.f64 (+.f64 (pow.f64 x 2) -1) 1) |
(/.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1)) 2) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 x 2) -1) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 x 2) -1) 4)) (*.f64 2 (*.f64 (+.f64 (pow.f64 x 2) -1) 4))) 16) |
(pow.f64 (+.f64 (pow.f64 x 2) -1) 1) |
| Outputs |
|---|
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
-1 |
(-.f64 (pow.f64 x 2) 1) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (pow.f64 x 2) 1) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (pow.f64 x 2) 1) |
(+.f64 (pow.f64 x 2) -1) |
(pow.f64 x 2) |
(-.f64 (pow.f64 x 2) 1) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (pow.f64 x 2) 1) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (pow.f64 x 2) 1) |
(+.f64 (pow.f64 x 2) -1) |
(pow.f64 x 2) |
(-.f64 (pow.f64 x 2) 1) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (pow.f64 x 2) 1) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (pow.f64 x 2) 1) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (pow.f64 x 2) 0) |
(pow.f64 x 2) |
(-.f64 (+.f64 (pow.f64 x 2) -1) -1) |
(pow.f64 x 2) |
(-.f64 (+.f64 (pow.f64 x 2) 1) 1) |
(pow.f64 x 2) |
(-.f64 (*.f64 2 (pow.f64 x 2)) (pow.f64 x 2)) |
(pow.f64 x 2) |
(-.f64 (+.f64 (pow.f64 x 2) -2) -2) |
(pow.f64 x 2) |
(-.f64 (+.f64 2 (pow.f64 x 2)) 2) |
(pow.f64 x 2) |
(-.f64 (/.f64 (pow.f64 x 2) 2) (/.f64 (pow.f64 x 2) -2)) |
(pow.f64 x 2) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (+.f64 -1/2 (/.f64 (pow.f64 x 2) -2))) |
(pow.f64 x 2) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (+.f64 (/.f64 (pow.f64 x 2) -2) -1/2)) |
(pow.f64 x 2) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) 2)))) |
(pow.f64 x 2) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (/.f64 (+.f64 -1 (neg.f64 (pow.f64 x 2))) 2)) |
(pow.f64 x 2) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (/.f64 (+.f64 -2 (-.f64 1 (pow.f64 x 2))) 2)) |
(pow.f64 x 2) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (/.f64 (neg.f64 (+.f64 (pow.f64 x 2) 1)) 2)) |
(pow.f64 x 2) |
(-.f64 (+.f64 (pow.f64 x 2) -3) -3) |
(pow.f64 x 2) |
(-.f64 (+.f64 (pow.f64 x 2) 3) 3) |
(pow.f64 x 2) |
(-.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) 2)) (+.f64 1/2 (/.f64 (pow.f64 x 2) -2))) |
(pow.f64 x 2) |
(-.f64 (+.f64 -1/2 (pow.f64 x 2)) -1/2) |
(pow.f64 x 2) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (pow.f64 x 2) 2)) (-.f64 0 (/.f64 (pow.f64 x 2) 4))) |
(pow.f64 x 2) |
(-.f64 (-.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) 2)) (/.f64 (pow.f64 x 2) -2)) 1/2) |
(pow.f64 x 2) |
(-.f64 (/.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) 2) 1/2) |
(pow.f64 x 2) |
(-.f64 (/.f64 (+.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) 3) 2)) 2) (/.f64 (+.f64 -1 (/.f64 (pow.f64 x 2) -2)) 2)) |
(pow.f64 x 2) |
(-.f64 (/.f64 (+.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2)) 2) (/.f64 (+.f64 -1/2 (/.f64 (pow.f64 x 2) -2)) 2)) |
(pow.f64 x 2) |
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x 2) 3) 2) 2) (/.f64 (/.f64 (pow.f64 x 2) -2) 2)) |
(pow.f64 x 2) |
(-.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 3)) 2) 2) (/.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) -2)) 2)) |
(pow.f64 x 2) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3) 4) (/.f64 (neg.f64 (pow.f64 x 2)) 4)) |
(pow.f64 x 2) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) 2) 2) (/.f64 (+.f64 -3/2 (/.f64 (pow.f64 x 2) -2)) 2)) |
(-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) 4) (+.f64 -3/4 (/.f64 (pow.f64 x 2) -4))) |
(-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) 4) (+.f64 (/.f64 (pow.f64 x 2) -4) -3/4)) |
(+.f64 (/.f64 (pow.f64 x 2) 4) (-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) 4) -3/4)) |
(-.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 3) 2) 4) (/.f64 (-.f64 -2 (pow.f64 x 2)) 4)) |
(pow.f64 x 2) |
(-.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 (pow.f64 x 2) 3) 2)) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 x 2) -2)) 2)) |
(pow.f64 x 2) |
(-.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 3)) 2)) 2) (/.f64 (+.f64 3/2 (/.f64 (pow.f64 x 2) -2)) 2)) |
(pow.f64 x 2) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2)) (-.f64 -1/2 (/.f64 (pow.f64 x 2) 4))) |
(pow.f64 x 2) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) (+.f64 1/2 (/.f64 (pow.f64 x 2) 2))) (-.f64 1/2 (/.f64 (pow.f64 x 2) 4))) |
(pow.f64 x 2) |
(*.f64 2 (*.f64 (pow.f64 x 2) 1/2)) |
(pow.f64 x 2) |
(*.f64 (pow.f64 x 2) 1) |
(pow.f64 x 2) |
(*.f64 1 (pow.f64 x 2)) |
(pow.f64 x 2) |
(*.f64 (*.f64 2 (pow.f64 x 2)) 1/2) |
(pow.f64 x 2) |
(*.f64 1/2 (*.f64 2 (pow.f64 x 2))) |
(pow.f64 x 2) |
(*.f64 (pow.f64 (+.f64 x x) 2) 1/4) |
(*.f64 1/4 (pow.f64 (+.f64 x x) 2)) |
(*.f64 (pow.f64 (+.f64 x x) 2) 1/4) |
(*.f64 (*.f64 2 (pow.f64 (+.f64 x x) 2)) 1/8) |
(*.f64 (pow.f64 (+.f64 x x) 2) 1/4) |
(*.f64 (pow.f64 (*.f64 x 4) 2) 1/16) |
(pow.f64 x 2) |
(/.f64 (pow.f64 x 2) 1) |
(pow.f64 x 2) |
(/.f64 (*.f64 2 (pow.f64 x 2)) 2) |
(pow.f64 x 2) |
(/.f64 (pow.f64 (+.f64 x x) 2) 4) |
(/.f64 (*.f64 2 (pow.f64 (+.f64 x x) 2)) 8) |
(/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 x x) 2)) (*.f64 2 (pow.f64 (+.f64 x x) 2))) 16) |
(/.f64 (*.f64 2 (pow.f64 (+.f64 x x) 2)) 8) |
(pow.f64 x 2) |
(pow.f64 (pow.f64 x 2) 1) |
(pow.f64 x 2) |
(-.f64 (pow.f64 x 2) 1) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (+.f64 (pow.f64 x 2) -1) 0) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (+.f64 (pow.f64 x 2) 1) 2) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1)) (+.f64 (pow.f64 x 2) -1)) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (+.f64 (pow.f64 x 2) -2) -1) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (+.f64 2 (pow.f64 x 2)) 3) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (/.f64 (pow.f64 x 2) 2) (+.f64 1 (/.f64 (pow.f64 x 2) -2))) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (/.f64 (pow.f64 x 2) 2) (/.f64 (+.f64 1 (-.f64 1 (pow.f64 x 2))) 2)) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (/.f64 (pow.f64 x 2) 2) (/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 2)) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2) (+.f64 1/2 (/.f64 (pow.f64 x 2) -2))) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (+.f64 -1 (/.f64 (pow.f64 x 2) 2)) (/.f64 (pow.f64 x 2) -2)) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (+.f64 (pow.f64 x 2) -3) -2) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (+.f64 (pow.f64 x 2) 3) 4) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) 2)) (+.f64 3/2 (/.f64 (pow.f64 x 2) -2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) 1/2) (+.f64 (/.f64 (pow.f64 x 2) -2) 3/2)) |
(+.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x 2) 2) 1/2) (/.f64 (pow.f64 x 2) -2)) -3/2) |
(+.f64 (-.f64 (/.f64 (pow.f64 x 2) 2) (-.f64 -1/2 (/.f64 (pow.f64 x 2) 2))) -3/2) |
(-.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) 2)) (/.f64 (-.f64 3 (pow.f64 x 2)) 2)) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (+.f64 -1/2 (pow.f64 x 2)) 1/2) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4) (+.f64 1/2 (/.f64 (pow.f64 x 2) 2))) (-.f64 1 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4))) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4) (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2)) (-.f64 0 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4))) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (-.f64 (+.f64 (pow.f64 x 2) -2) 2) -3) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (-.f64 (+.f64 (pow.f64 x 2) -1) 3) -3) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (-.f64 (+.f64 -1 (/.f64 (pow.f64 x 2) 2)) (+.f64 1/2 (/.f64 (pow.f64 x 2) -2))) -1/2) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (/.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) -3) 2) -1/2) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (/.f64 (+.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 x 2) 2) -1/2)) 2) (/.f64 (+.f64 3/2 (/.f64 (pow.f64 x 2) -2)) 2)) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 3)) 2) 2) (/.f64 (+.f64 5/2 (/.f64 (pow.f64 x 2) -2)) 2)) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (/.f64 (+.f64 1 (-.f64 (*.f64 (pow.f64 x 2) 3) 2)) 4) (/.f64 (-.f64 3 (pow.f64 x 2)) 4)) |
(/.f64 (-.f64 (+.f64 1 (-.f64 (*.f64 (pow.f64 x 2) 3) 2)) (-.f64 3 (pow.f64 x 2))) 4) |
(/.f64 (-.f64 (pow.f64 x 2) (-.f64 3 (-.f64 (*.f64 (pow.f64 x 2) 3) 1))) 4) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) 2) 2) (/.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) -2)) 2)) |
(-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) 4) (+.f64 1/4 (/.f64 (pow.f64 x 2) -4))) |
(-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) 4) (+.f64 (/.f64 (pow.f64 x 2) -4) 1/4)) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) (-.f64 1 (pow.f64 x 2))) 4) |
(-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) 4) (/.f64 (-.f64 1 (pow.f64 x 2)) 4)) |
(-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) 4) (+.f64 1/4 (/.f64 (pow.f64 x 2) -4))) |
(-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) 4) (+.f64 (/.f64 (pow.f64 x 2) -4) 1/4)) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) (-.f64 1 (pow.f64 x 2))) 4) |
(-.f64 (/.f64 (+.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) 2)) 2) (/.f64 (+.f64 -1/2 (/.f64 (pow.f64 x 2) -2)) 2)) |
(-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) 4) (+.f64 1/4 (/.f64 (pow.f64 x 2) -4))) |
(-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) 4) (+.f64 (/.f64 (pow.f64 x 2) -4) 1/4)) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 3) (-.f64 1 (pow.f64 x 2))) 4) |
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4) (/.f64 (pow.f64 x 2) 2)) (-.f64 1/2 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4))) |
(+.f64 (pow.f64 x 2) -1) |
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4) (+.f64 -1 (/.f64 (pow.f64 x 2) 2))) (-.f64 -1/2 (+.f64 (/.f64 (pow.f64 x 2) 4) -1/4))) |
(+.f64 (pow.f64 x 2) -1) |
(*.f64 2 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2)) |
(+.f64 (pow.f64 x 2) -1) |
(*.f64 (+.f64 (pow.f64 x 2) -1) 1) |
(+.f64 (pow.f64 x 2) -1) |
(*.f64 1 (+.f64 (pow.f64 x 2) -1)) |
(+.f64 (pow.f64 x 2) -1) |
(*.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1)) 1/2) |
(+.f64 (pow.f64 x 2) -1) |
(*.f64 1/2 (*.f64 2 (+.f64 (pow.f64 x 2) -1))) |
(+.f64 (pow.f64 x 2) -1) |
(*.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 4) 1/4) |
(+.f64 (pow.f64 x 2) -1) |
(*.f64 1/4 (*.f64 (+.f64 (pow.f64 x 2) -1) 4)) |
(+.f64 (pow.f64 x 2) -1) |
(*.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 x 2) -1) 4)) 1/8) |
(+.f64 (pow.f64 x 2) -1) |
(/.f64 (+.f64 (pow.f64 x 2) -1) 1) |
(+.f64 (pow.f64 x 2) -1) |
(/.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1)) 2) |
(+.f64 (pow.f64 x 2) -1) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 4) 4) |
(+.f64 (pow.f64 x 2) -1) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 x 2) -1) 4)) 8) |
(+.f64 (pow.f64 x 2) -1) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 x 2) -1) 4)) (*.f64 2 (*.f64 (+.f64 (pow.f64 x 2) -1) 4))) 16) |
(+.f64 (pow.f64 x 2) -1) |
(pow.f64 (+.f64 (pow.f64 x 2) -1) 1) |
(+.f64 (pow.f64 x 2) -1) |
Compiled 6472 to 4478 computations (30.8% saved)
15 alts after pruning (1 fresh and 14 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 383 | 0 | 383 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 13 | 13 |
| Total | 383 | 15 | 398 |
| Status | Error | Program |
|---|---|---|
| ✓ | 1.1b | (pow.f64 x 2) |
| ✓ | 29.4b | (-.f64 (-.f64 (exp.f64 x) 2) (/.f64 -1 (exp.f64 x))) |
| ✓ | 29.5b | (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
| ✓ | 30.1b | (-.f64 (+.f64 2 (pow.f64 x 2)) 2) |
| ✓ | 31.2b | (-.f64 2 2) |
| ✓ | 0.2b | (+.f64 (pow.f64 x 2) (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 1/360 (pow.f64 x 6)))) |
| ✓ | 0.3b | (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) |
| ✓ | 0.5b | (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
| ✓ | 29.5b | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| ✓ | 30.0b | (+.f64 (+.f64 (pow.f64 x 2) -1) 1) |
| ✓ | 60.1b | (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) |
| ✓ | 29.4b | (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) |
| ✓ | 31.0b | (+.f64 (exp.f64 x) -1) |
| ✓ | 28.2b | (*.f64 (-.f64 1 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) -1)) |
| 60.1b | x |
Compiled 135 to 108 computations (20% saved)
| Inputs |
|---|
x |
(-.f64 2 2) |
(pow.f64 x 2) |
(+.f64 (exp.f64 x) -1) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x) |
(+.f64 (+.f64 (pow.f64 x 2) -1) 1) |
(-.f64 (+.f64 2 (pow.f64 x 2)) 2) |
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) |
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (-.f64 (exp.f64 x) 2) (/.f64 -1 (exp.f64 x))) |
(*.f64 (-.f64 1 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) -1)) |
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) |
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 1/360 (pow.f64 x 6)))) |
| Outputs |
|---|
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 1/360 (pow.f64 x 6)))) |
2 calls:
| 61.0ms | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
| 0.2b | 1 | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
Compiled 132 to 91 computations (31.1% saved)
| Inputs |
|---|
x |
(-.f64 2 2) |
(pow.f64 x 2) |
(+.f64 (exp.f64 x) -1) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x) |
(+.f64 (+.f64 (pow.f64 x 2) -1) 1) |
(-.f64 (+.f64 2 (pow.f64 x 2)) 2) |
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) |
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (-.f64 (exp.f64 x) 2) (/.f64 -1 (exp.f64 x))) |
(*.f64 (-.f64 1 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) -1)) |
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) |
| Outputs |
|---|
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) |
2 calls:
| 68.0ms | x |
| 5.0ms | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
Compiled 111 to 74 computations (33.3% saved)
| Inputs |
|---|
x |
(-.f64 2 2) |
(pow.f64 x 2) |
(+.f64 (exp.f64 x) -1) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x) |
(+.f64 (+.f64 (pow.f64 x 2) -1) 1) |
(-.f64 (+.f64 2 (pow.f64 x 2)) 2) |
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) |
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(-.f64 (-.f64 (exp.f64 x) 2) (/.f64 -1 (exp.f64 x))) |
(*.f64 (-.f64 1 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) -1)) |
| Outputs |
|---|
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
2 calls:
| 37.0ms | x |
| 5.0ms | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 1 | x |
| 0.5b | 1 | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
Compiled 96 to 62 computations (35.4% saved)
| Inputs |
|---|
x |
(-.f64 2 2) |
(pow.f64 x 2) |
(+.f64 (exp.f64 x) -1) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x) |
(+.f64 (+.f64 (pow.f64 x 2) -1) 1) |
(-.f64 (+.f64 2 (pow.f64 x 2)) 2) |
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) |
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
| Outputs |
|---|
(pow.f64 x 2) |
2 calls:
| 35.0ms | x |
| 29.0ms | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 1 | x |
| 1.1b | 1 | (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) |
Compiled 68 to 45 computations (33.8% saved)
Total -29.3b remaining (-94.1%)
Threshold costs -29.3b (-94.1%)
| Inputs |
|---|
x |
(-.f64 2 2) |
| Outputs |
|---|
(-.f64 2 2) |
1 calls:
| 6.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 31.2b | 1 | x |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 138 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 1/360 (pow.f64 x 6)))) |
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(pow.f64 x 2) |
(-.f64 2 2) |
x |
| Outputs |
|---|
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 1/360 (pow.f64 x 6)))) |
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) |
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) |
(pow.f64 x 2) |
(-.f64 2 2) |
0 |
x |
Compiled 56 to 45 computations (19.6% saved)
| 2× | egg-herbie |
| 1226× | rational_best-simplify-53 |
| 1196× | rational_best-simplify-51 |
| 1194× | rational_best-simplify-52 |
| 1166× | rational_best-simplify-49 |
| 1152× | rational_best-simplify-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 18 | 25 |
| 2 | 26 | 25 |
| 3 | 36 | 25 |
| 4 | 52 | 25 |
| 5 | 81 | 25 |
| 6 | 163 | 25 |
| 7 | 357 | 25 |
| 8 | 866 | 25 |
| 9 | 1629 | 25 |
| 10 | 4320 | 25 |
| 0 | 433 | 6035 |
| 1 | 1162 | 5921 |
| 2 | 3238 | 5855 |
| 1× | node limit |
| 1× | node limit |
Compiled 266 to 186 computations (30.1% saved)
Compiled 51 to 40 computations (21.6% saved)
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