Time bar (total: 21.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 74.9% | 0.1% | 0% | 25% | 0% | 5 |
| 0% | 0% | 74.9% | 0.1% | 0% | 25% | 0% | 6 |
| 0% | 0% | 74.9% | 0.1% | 0% | 25% | 0% | 7 |
| 10% | 6.2% | 56.2% | 0.1% | 0% | 37.4% | 0% | 8 |
| 12.8% | 7.8% | 53% | 0.1% | 1.6% | 37.4% | 0% | 9 |
| 16.6% | 9.4% | 47.2% | 0.1% | 5.9% | 37.4% | 0% | 10 |
| 30.6% | 15.2% | 34.5% | 0.1% | 6.4% | 43.7% | 0% | 11 |
| 36.1% | 17.6% | 31.1% | 0.1% | 7.5% | 43.7% | 0% | 12 |
Compiled 28 to 21 computations (25% saved)
| 1.7s | 8256× | body | 256 | valid |
| 571.0ms | 2013× | body | 256 | infinite |
| 313.0ms | 1576× | body | 256 | invalid |
| 2× | egg-herbie |
| 1482× | fma-def |
| 1252× | +-commutative |
| 852× | distribute-neg-in |
| 828× | associate--r- |
| 752× | associate--r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 252 |
| 1 | 121 | 252 |
| 2 | 306 | 244 |
| 3 | 781 | 236 |
| 4 | 2186 | 236 |
| 5 | 4947 | 236 |
| 6 | 7431 | 236 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 y 1/2) (log.f64 y)) y) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 x 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) y)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 z 1/2) (log.f64 z)) z) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) x) 13888888888889/5000000000000000) x) 83333333333333/1000000000000000) z)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 z 7936500793651/10000000000000000) y) 13888888888889/5000000000000000) y) 83333333333333/1000000000000000) x)) |
| Outputs |
|---|
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) z 83333333333333/1000000000000000) x)) |
(+.f64 91893853320467/100000000000000 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) x)) |
(+.f64 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 y 1/2) (log.f64 y)) y) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 x 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) y)) |
(+.f64 (-.f64 (*.f64 (+.f64 y -1/2) (log.f64 y)) y) (+.f64 91893853320467/100000000000000 (/.f64 (fma.f64 (fma.f64 (+.f64 x 7936500793651/10000000000000000) z -13888888888889/5000000000000000) z 83333333333333/1000000000000000) y))) |
(+.f64 91893853320467/100000000000000 (+.f64 (-.f64 (*.f64 (+.f64 y -1/2) (log.f64 y)) y) (/.f64 (fma.f64 z (fma.f64 z (+.f64 x 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) y))) |
(+.f64 (fma.f64 (+.f64 y -1/2) (log.f64 y) (fma.f64 -1 y 91893853320467/100000000000000)) (/.f64 (fma.f64 z (fma.f64 z (+.f64 x 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) y)) |
(+.f64 (fma.f64 (+.f64 y -1/2) (log.f64 y) (-.f64 91893853320467/100000000000000 y)) (/.f64 (fma.f64 z (fma.f64 z (+.f64 x 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) y)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 z 1/2) (log.f64 z)) z) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) x) 13888888888889/5000000000000000) x) 83333333333333/1000000000000000) z)) |
(+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (-.f64 z 1/2) (log.f64 z)) z)) (/.f64 (fma.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) x -13888888888889/5000000000000000) x 83333333333333/1000000000000000) z)) |
(+.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 z)) (+.f64 z -91893853320467/100000000000000)) (/.f64 (fma.f64 x (fma.f64 x (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) z)) |
(+.f64 (fma.f64 (+.f64 z -1/2) (log.f64 z) (fma.f64 -1 z 91893853320467/100000000000000)) (/.f64 (fma.f64 x (fma.f64 x (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) z)) |
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 z) (/.f64 (fma.f64 x (fma.f64 x (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) z)) z)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 z -1/2) (log.f64 z) (-.f64 (/.f64 (fma.f64 x (fma.f64 x (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) z) z))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 z 7936500793651/10000000000000000) y) 13888888888889/5000000000000000) y) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 (fma.f64 (+.f64 7936500793651/10000000000000000 z) y -13888888888889/5000000000000000) y 83333333333333/1000000000000000) x)) |
(+.f64 91893853320467/100000000000000 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (/.f64 (fma.f64 y (fma.f64 y (+.f64 7936500793651/10000000000000000 z) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)) (/.f64 (fma.f64 y (fma.f64 y (+.f64 7936500793651/10000000000000000 z) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x) (/.f64 (fma.f64 y (fma.f64 y (+.f64 7936500793651/10000000000000000 z) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
Compiled 30 to 23 computations (23.3% saved)
| 1× | egg-herbie |
| 1570× | fma-def |
| 1230× | associate-/l* |
| 1190× | +-commutative |
| 872× | distribute-neg-in |
| 758× | associate-/r* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 63 |
| 1 | 46 | 63 |
| 2 | 102 | 61 |
| 3 | 243 | 59 |
| 4 | 636 | 59 |
| 5 | 1650 | 59 |
| 6 | 3448 | 59 |
| 7 | 5525 | 59 |
| 8 | 7188 | 59 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| Outputs |
|---|
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) (/.f64 (fma.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) z 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) |
Compiled 135 to 88 computations (34.8% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 | 4 | 6 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 5 | 7 |
| Status | Error | Program |
|---|---|---|
| ▶ | 9.2b | (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
| ▶ | 9.3b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| ▶ | 9.3b | (+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
| ▶ | 9.3b | (+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) |
Compiled 100 to 72 computations (28% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) |
| ✓ | 0.1b | (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) |
| ✓ | 0.2b | (fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
| ✓ | 8.6b | (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
Compiled 92 to 57 computations (38% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | y | @ | 0 | (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
| 5.0ms | x | @ | 0 | (fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
| 2.0ms | x | @ | -inf | (fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
| 2.0ms | x | @ | inf | (fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
| 1.0ms | y | @ | -inf | (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
| 1× | batch-egg-rewrite |
| 1594× | associate-*r/ |
| 1294× | associate-*l/ |
| 392× | add-sqr-sqrt |
| 374× | pow1 |
| 374× | *-un-lft-identity |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 86 |
| 1 | 384 | 86 |
| 2 | 4750 | 86 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
(fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
(fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) |
(fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (/.f64 1 (neg.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -13888888888889/5000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 1) -13888888888889/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))) 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-13888888888889/5000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))))) |
| 1× | egg-herbie |
| 1304× | associate-*r/ |
| 1044× | associate-*l/ |
| 872× | associate-/r* |
| 550× | associate-*r* |
| 508× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 358 | 7488 |
| 1 | 874 | 6956 |
| 2 | 3770 | 6520 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) |
(*.f64 1/2 (log.f64 x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x))) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x))) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x))) |
(*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) |
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (*.f64 -1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (*.f64 -1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (*.f64 -1/2 (log.f64 (/.f64 1 x)))) |
(*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x))) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x))) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x))) |
83333333333333/1000000000000000 |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))) |
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))) |
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))) |
(+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) |
(+.f64 (*.f64 y (pow.f64 z 2)) (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))) |
(+.f64 (*.f64 y (pow.f64 z 2)) (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))) |
(+.f64 (*.f64 y (pow.f64 z 2)) (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))) |
(*.f64 y (pow.f64 z 2)) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))) |
(*.f64 y (pow.f64 z 2)) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))) |
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 6944444444444388888888888889/1000000000000000000000000000000) 1) (-.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000)) |
(/.f64 (*.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3)) 1) (+.f64 (*.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000)))) |
(pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 1) |
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 3) |
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2)) |
(log.f64 (exp.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))) |
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) |
(exp.f64 (log.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) |
(+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))) |
(+.f64 -13888888888889/5000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 1)) |
(+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000) |
(+.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 1) -13888888888889/5000000000000000) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 1) |
(*.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 1) |
(*.f64 1 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) |
(*.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) |
(*.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2) (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) |
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (+.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) 192901234567904320987654321/25000000000000000000000000000000)) (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) |
(/.f64 (*.f64 1 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3))) (+.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) 192901234567904320987654321/25000000000000000000000000000000) 1) (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) |
(/.f64 (*.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) 1) (+.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)))) |
(pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 2)) |
(log.f64 (exp.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))) |
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) |
(exp.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) |
| Outputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x)) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 z z)))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 z z) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 z z) (*.f64 (/.f64 -13888888888889/5000000000000000 x) z))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 z z)))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 z z) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 z z) (*.f64 (/.f64 -13888888888889/5000000000000000 x) z))) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(/.f64 (*.f64 z z) (/.f64 x (+.f64 y 7936500793651/10000000000000000))) |
(*.f64 (/.f64 (*.f64 z z) x) (+.f64 y 7936500793651/10000000000000000)) |
(*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z) |
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 y 7936500793651/10000000000000000)))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 y 7936500793651/10000000000000000))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 y 7936500793651/10000000000000000)))) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 y 7936500793651/10000000000000000)))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 y 7936500793651/10000000000000000)))) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 y 7936500793651/10000000000000000)))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(/.f64 (*.f64 z z) (/.f64 x (+.f64 y 7936500793651/10000000000000000))) |
(*.f64 (/.f64 (*.f64 z z) x) (+.f64 y 7936500793651/10000000000000000)) |
(*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z) |
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 y 7936500793651/10000000000000000)))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 y 7936500793651/10000000000000000))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 y 7936500793651/10000000000000000)))) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 y 7936500793651/10000000000000000)))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 y 7936500793651/10000000000000000)))) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 y 7936500793651/10000000000000000)))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) x) |
(/.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))) |
(+.f64 (*.f64 (/.f64 y x) (*.f64 z z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z))) |
(+.f64 (*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))) |
(+.f64 (*.f64 (/.f64 y x) (*.f64 z z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z))) |
(+.f64 (*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))) |
(+.f64 (*.f64 (/.f64 y x) (*.f64 z z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z))) |
(+.f64 (*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 y (/.f64 x (*.f64 z z))) |
(*.f64 (/.f64 y x) (*.f64 z z)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
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(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) |
(fma.f64 z (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) |
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) |
(+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))) |
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) |
(+.f64 -13888888888889/5000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 1)) |
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) |
(+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000) |
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) |
(+.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 1) -13888888888889/5000000000000000) |
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 1) |
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) |
(*.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 1) |
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) |
(*.f64 1 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) |
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) |
(*.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) |
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) |
(*.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2)) |
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2) (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) |
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) |
(/.f64 (-.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) |
(/.f64 (fma.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 13888888888889/5000000000000000)) |
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 13888888888889/5000000000000000)) |
(/.f64 (fma.f64 z (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) z) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 13888888888889/5000000000000000)) |
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (+.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)))) |
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (fma.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000)))))) |
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (-.f64 (fma.f64 z (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) z) 192901234567904320987654321/25000000000000000000000000000000) (*.f64 (*.f64 -13888888888889/5000000000000000 z) (+.f64 y 7936500793651/10000000000000000)))) |
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 13888888888889/5000000000000000)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) 192901234567904320987654321/25000000000000000000000000000000)) (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) |
(/.f64 (fma.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 13888888888889/5000000000000000)) |
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 13888888888889/5000000000000000)) |
(/.f64 (fma.f64 z (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) z) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 13888888888889/5000000000000000)) |
(/.f64 (*.f64 1 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3))) (+.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)))) |
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (fma.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000)))))) |
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (-.f64 (fma.f64 z (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) z) 192901234567904320987654321/25000000000000000000000000000000) (*.f64 (*.f64 -13888888888889/5000000000000000 z) (+.f64 y 7936500793651/10000000000000000)))) |
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 13888888888889/5000000000000000)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) 192901234567904320987654321/25000000000000000000000000000000) 1) (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) |
(/.f64 (fma.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 13888888888889/5000000000000000)) |
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 13888888888889/5000000000000000)) |
(/.f64 (fma.f64 z (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) z) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 13888888888889/5000000000000000)) |
(/.f64 (*.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) 1) (+.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)))) |
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (fma.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000)))))) |
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (-.f64 (fma.f64 z (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) z) 192901234567904320987654321/25000000000000000000000000000000) (*.f64 (*.f64 -13888888888889/5000000000000000 z) (+.f64 y 7936500793651/10000000000000000)))) |
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 13888888888889/5000000000000000)))) |
(pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 1) |
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) |
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2) |
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) |
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3) |
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3) 1/3) |
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) |
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 2)) |
(fabs.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)) |
(log.f64 (exp.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) |
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))) |
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) |
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3)) |
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) |
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) |
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) |
(exp.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) |
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 1)) |
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) |
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) |
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) |
| ✓ | 0.2b | (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) |
| ✓ | 0.2b | (*.f64 (+.f64 x -1/2) (log.f64 x)) |
| 8.6b | (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
Compiled 91 to 57 computations (37.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) |
| 1.0ms | x | @ | -inf | (*.f64 (+.f64 x -1/2) (log.f64 x)) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 x -1/2) (log.f64 x)) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 x -1/2) (log.f64 x)) |
| 0.0ms | x | @ | -inf | (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) |
| 1× | batch-egg-rewrite |
| 1602× | associate-*r/ |
| 1352× | associate-*l/ |
| 1060× | distribute-lft-in |
| 302× | associate-/r* |
| 262× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 69 |
| 1 | 250 | 69 |
| 2 | 3359 | 69 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 x -1/2) (log.f64 x)) |
(-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) |
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (*.f64 -1/2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (log.f64 x) x)) (*.f64 1 (*.f64 (log.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) 0) (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x))) (*.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (log.f64 x) -1/2)) (*.f64 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| 1× | egg-herbie |
| 968× | associate-/l* |
| 688× | associate-*r* |
| 630× | distribute-lft-in |
| 598× | associate-*l* |
| 580× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 747 | 20564 |
| 1 | 2026 | 19000 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (log.f64 x)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(*.f64 -1/2 (log.f64 x)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)) |
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) |
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
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(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) |
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(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 (+.f64 x -91893853320467/100000000000000) 3))) (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (+.f64 (*.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 x -91893853320467/100000000000000)) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000))))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000))) (neg.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000))) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) (sqrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000))) (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2) (cbrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))) |
(/.f64 (*.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)) 1) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))) |
(/.f64 (*.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2)) 1) (-.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 x -91893853320467/100000000000000))) 1) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 (+.f64 x -91893853320467/100000000000000) 3)) 1) (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (+.f64 (*.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 x -91893853320467/100000000000000)) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000)) 1) (neg.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000))) |
(/.f64 (*.f64 (neg.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000)) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3))) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2)) (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2)) 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (/.f64 1 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000))) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) 8444480278083503881401098089/10000000000000000000000000000)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) 3) 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000))) (+.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2)) (+.f64 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) 8444480278083503881401098089/10000000000000000000000000000)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)) 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))) (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000)) |
(/.f64 (*.f64 (+.f64 467281046507217806034264751695811126233618503392209547027430905113362508381562101393972133232107032425973263562534889855762547/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))) (+.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)) (-.f64 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) 1) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000))) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) (*.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000)) (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000)))) (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000))) |
(/.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)) 1) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))) |
(/.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))) |
(/.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))) |
(pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 1) |
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3) |
(pow.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 2)) |
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 (+.f64 x -91893853320467/100000000000000)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))) |
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 3)) |
(expm1.f64 (log.f64 (+.f64 191893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))) |
(exp.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))) |
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (+.f64 x -91893853320467/100000000000000))) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (+.f64 x -91893853320467/100000000000000))) |
(fma.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000))) |
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) |
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (+.f64 x -91893853320467/100000000000000))) |
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 91893853320467/100000000000000) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (+.f64 x -91893853320467/100000000000000))) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 91893853320467/100000000000000) |
| Outputs |
|---|
(*.f64 -1/2 (log.f64 x)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x)) |
(*.f64 (log.f64 x) (+.f64 -1/2 x)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x)) |
(*.f64 (log.f64 x) (+.f64 -1/2 x)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x)) |
(*.f64 (log.f64 x) (+.f64 -1/2 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 (neg.f64 (neg.f64 (log.f64 x))) x) |
(*.f64 x (log.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(fma.f64 -1 (*.f64 x (neg.f64 (log.f64 x))) (*.f64 (neg.f64 (log.f64 x)) 1/2)) |
(+.f64 (*.f64 x (log.f64 x)) (neg.f64 (*.f64 1/2 (log.f64 x)))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(fma.f64 -1 (*.f64 x (neg.f64 (log.f64 x))) (*.f64 (neg.f64 (log.f64 x)) 1/2)) |
(+.f64 (*.f64 x (log.f64 x)) (neg.f64 (*.f64 1/2 (log.f64 x)))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(fma.f64 -1 (*.f64 x (neg.f64 (log.f64 x))) (*.f64 (neg.f64 (log.f64 x)) 1/2)) |
(+.f64 (*.f64 x (log.f64 x)) (neg.f64 (*.f64 1/2 (log.f64 x)))) |
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(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)))))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000) (*.f64 (cbrt.f64 (+.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x) 2) 8444480278083503881401098089/10000000000000000000000000000) (*.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x) -91893853320467/100000000000000))) (*.f64 (cbrt.f64 (+.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x) 2) 8444480278083503881401098089/10000000000000000000000000000) (*.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x) -91893853320467/100000000000000))) (cbrt.f64 (+.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x) 2) 8444480278083503881401098089/10000000000000000000000000000) (*.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x) -91893853320467/100000000000000)))))) |
(pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 1) |
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2) |
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3) |
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(pow.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 3) 1/3) |
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 2)) |
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) 91893853320467/100000000000000) x) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) 2)) |
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 (+.f64 x -91893853320467/100000000000000)))) |
(log.f64 (/.f64 (pow.f64 x (+.f64 -1/2 x)) (exp.f64 (+.f64 x -91893853320467/100000000000000)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))) |
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 3)) |
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(expm1.f64 (log.f64 (+.f64 191893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))) |
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(exp.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))) |
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 1)) |
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))) |
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (+.f64 x -91893853320467/100000000000000))) |
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (+.f64 x -91893853320467/100000000000000))) |
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(fma.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000))) |
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (+.f64 x -91893853320467/100000000000000))) |
(+.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))) 2) (-.f64 91893853320467/100000000000000 x)) |
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 91893853320467/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (+.f64 x -91893853320467/100000000000000))) |
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 91893853320467/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) |
| ✓ | 0.2b | (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) |
| ✓ | 0.2b | (*.f64 (-.f64 x 1/2) (log.f64 x)) |
| ✓ | 8.6b | (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) |
Compiled 112 to 73 computations (34.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) |
| 1.0ms | y | @ | 0 | (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) |
| 1.0ms | z | @ | inf | (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) |
| 1.0ms | y | @ | -inf | (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) |
| 1× | batch-egg-rewrite |
| 528× | add-sqr-sqrt |
| 502× | pow1 |
| 502× | *-un-lft-identity |
| 498× | add-exp-log |
| 496× | add-log-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 98 |
| 1 | 512 | 98 |
| 2 | 6878 | 98 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) |
(*.f64 (-.f64 x 1/2) (log.f64 x)) |
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) |
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2)) (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 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| 1× | egg-herbie |
| 1402× | associate-+l- |
| 1368× | associate-+r- |
| 872× | associate--r+ |
| 682× | associate--l+ |
| 632× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 464 | 10494 |
| 1 | 1143 | 9342 |
| 2 | 4656 | 9340 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
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(pow.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 2)) |
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 (+.f64 x -91893853320467/100000000000000)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))) |
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 3)) |
(expm1.f64 (log.f64 (+.f64 191893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))) |
(exp.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))) |
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (+.f64 x -91893853320467/100000000000000))) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (+.f64 x -91893853320467/100000000000000))) |
(fma.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000))) |
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) |
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 91893853320467/100000000000000) |
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (+.f64 x -91893853320467/100000000000000))) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 91893853320467/100000000000000) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2)) (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (+.f64 x -91893853320467/100000000000000))) |
| Outputs |
|---|
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) x) |
(/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(+.f64 (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 (*.f64 z z) (/.f64 x y)) (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(+.f64 (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 (*.f64 z z) (/.f64 x y)) (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(+.f64 (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 (*.f64 z z) (/.f64 x y)) (/.f64 83333333333333/1000000000000000 x))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 z z) (/.f64 x y)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(+.f64 (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 (*.f64 z z) (/.f64 x y)) (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(+.f64 (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 (*.f64 z z) (/.f64 x y)) (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(+.f64 (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 (*.f64 z z) (/.f64 x y)) (/.f64 83333333333333/1000000000000000 x))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 z z) (/.f64 x y)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(+.f64 (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 (*.f64 z z) (/.f64 x y)) (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(+.f64 (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 (*.f64 z z) (/.f64 x y)) (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) |
(+.f64 (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 (*.f64 z z) (/.f64 x y)) (/.f64 83333333333333/1000000000000000 x))) |
(/.f64 83333333333333/1000000000000000 x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x)) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (*.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (*.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (*.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (*.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))) |
(*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)) |
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))) |
(*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)) |
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) |
(/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) |
(/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) |
(/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) |
(/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) |
(/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) |
(/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) |
(/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
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(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x)) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2)) (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (+.f64 x -91893853320467/100000000000000))) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2)) (cbrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 91893853320467/100000000000000 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) | |
| 0.1b | (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) | |
| ✓ | 0.3b | (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) |
| 8.6b | (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
Compiled 78 to 50 computations (35.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) |
| 0.0ms | x | @ | 0 | (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) |
| 0.0ms | x | @ | inf | (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) |
| 1× | batch-egg-rewrite |
| 986× | *-commutative |
| 790× | associate-*r/ |
| 688× | unswap-sqr |
| 662× | associate-*l/ |
| 560× | swap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 25 |
| 1 | 236 | 25 |
| 2 | 2926 | 25 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (+.f64 (neg.f64 x) (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 91893853320467/100000000000000 (-.f64 x (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 191893853320467/100000000000000 x))) (-.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x 91893853320467/100000000000000)) (-.f64 (/.f64 (*.f64 x x) (+.f64 x 91893853320467/100000000000000)) (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 x (+.f64 x 91893853320467/100000000000000)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 x (+.f64 x 91893853320467/100000000000000)))) (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (exp.f64 (log.f64 (-.f64 191893853320467/100000000000000 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x 91893853320467/100000000000000))) (/.f64 (*.f64 x x) (+.f64 x 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 x (+.f64 x 91893853320467/100000000000000))))) (/.f64 (pow.f64 x 3) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 x (+.f64 x 91893853320467/100000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))) (*.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 91893853320467/100000000000000 x) 2)) (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 3) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (*.f64 (-.f64 91893853320467/100000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (+.f64 x -1/2) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 91893853320467/100000000000000 x) 2))) (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 3) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3))) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (*.f64 (-.f64 91893853320467/100000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (+.f64 x -1/2) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 91893853320467/100000000000000 x) 2)) 1) (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 3) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)) 1) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (*.f64 (-.f64 91893853320467/100000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (+.f64 x -1/2) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))))))) |
| 1× | egg-herbie |
| 1194× | distribute-lft-in |
| 1124× | distribute-rgt-in |
| 968× | associate--l+ |
| 962× | associate-+l- |
| 858× | associate-+r- |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 157 | 2865 |
| 1 | 418 | 2701 |
| 2 | 1465 | 2271 |
| 3 | 6088 | 2271 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x))) |
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))) |
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))) |
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 x) (*.f64 (+.f64 x -1/2) (log.f64 x)))) |
(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (+.f64 x -1/2) (log.f64 x))) |
(+.f64 (neg.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) |
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 x)) |
(+.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x)) 91893853320467/100000000000000) |
(+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) |
(+.f64 (*.f64 1 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))) (neg.f64 x)) |
(+.f64 (*.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) 1) (neg.f64 x)) |
(-.f64 91893853320467/100000000000000 (-.f64 x (*.f64 (+.f64 x -1/2) (log.f64 x)))) |
(-.f64 (exp.f64 (log.f64 (-.f64 191893853320467/100000000000000 x))) (-.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) 1) |
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) x) |
(-.f64 (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x 91893853320467/100000000000000)) (-.f64 (/.f64 (*.f64 x x) (+.f64 x 91893853320467/100000000000000)) (*.f64 (+.f64 x -1/2) (log.f64 x)))) |
(-.f64 (/.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 x (+.f64 x 91893853320467/100000000000000)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 x (+.f64 x 91893853320467/100000000000000)))) (*.f64 (+.f64 x -1/2) (log.f64 x)))) |
(-.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (exp.f64 (log.f64 (-.f64 191893853320467/100000000000000 x)))) 1) |
(-.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x 91893853320467/100000000000000))) (/.f64 (*.f64 x x) (+.f64 x 91893853320467/100000000000000))) |
(-.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 x (+.f64 x 91893853320467/100000000000000))))) (/.f64 (pow.f64 x 3) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 x (+.f64 x 91893853320467/100000000000000))))) |
(-.f64 (+.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) 0) x) |
(*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 1) |
(*.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) |
(*.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) |
(*.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))) (*.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 91893853320467/100000000000000 x) 2)) (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000) x)) |
(/.f64 (+.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 3) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (*.f64 (-.f64 91893853320467/100000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (+.f64 x -1/2) (log.f64 x)))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 91893853320467/100000000000000 x) 2))) (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000) x)) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 3) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3))) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (*.f64 (-.f64 91893853320467/100000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (+.f64 x -1/2) (log.f64 x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 91893853320467/100000000000000 x) 2)) 1) (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000) x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 3) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)) 1) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (*.f64 (-.f64 91893853320467/100000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (+.f64 x -1/2) (log.f64 x)))))) |
(pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 3) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2)) |
(log.f64 (exp.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))) |
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) |
(exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) |
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) |
| Outputs |
|---|
(+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) |
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) |
(*.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) -1)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) |
(*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) |
(*.f64 x (neg.f64 (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) |
(neg.f64 (fma.f64 x (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 x (neg.f64 (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))) |
(-.f64 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 91893853320467/100000000000000) (fma.f64 x (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 x (neg.f64 (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))) |
(-.f64 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 91893853320467/100000000000000) (fma.f64 x (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 x (neg.f64 (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))) |
(-.f64 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 91893853320467/100000000000000) (fma.f64 x (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)) |
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 x) (*.f64 (+.f64 x -1/2) (log.f64 x)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (+.f64 x -1/2) (log.f64 x))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(+.f64 (neg.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(+.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x)) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(+.f64 (*.f64 1 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))) (neg.f64 x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(+.f64 (*.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) 1) (neg.f64 x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(-.f64 91893853320467/100000000000000 (-.f64 x (*.f64 (+.f64 x -1/2) (log.f64 x)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(-.f64 (exp.f64 (log.f64 (-.f64 191893853320467/100000000000000 x))) (-.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) 1) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) x) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 -1/2 x) 2)) (pow.f64 (-.f64 91893853320467/100000000000000 x) 2)) (+.f64 x (fma.f64 (+.f64 -1/2 x) (log.f64 x) -91893853320467/100000000000000))) |
(/.f64 (fma.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 -1/2 x) 2) (neg.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 2))) (+.f64 x (fma.f64 (log.f64 x) (+.f64 -1/2 x) -91893853320467/100000000000000))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 -1/2 x) 2)) (pow.f64 (-.f64 91893853320467/100000000000000 x) 2)) (fma.f64 (log.f64 x) (+.f64 -1/2 x) (+.f64 x -91893853320467/100000000000000))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 3) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)) 1) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (*.f64 (-.f64 91893853320467/100000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (+.f64 x -1/2) (log.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3)) (fma.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 -1/2 x) 2) (*.f64 (-.f64 91893853320467/100000000000000 x) (-.f64 91893853320467/100000000000000 (+.f64 x (*.f64 (log.f64 x) (+.f64 -1/2 x))))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3)) (fma.f64 (-.f64 91893853320467/100000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 -1/2 x) 2)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3)) (fma.f64 (-.f64 91893853320467/100000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)) (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 -1/2 x) 2)))) |
(pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 1) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 3) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 3) 1/3) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2)) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(log.f64 (exp.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 3)) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x)) |
Compiled 45683 to 29224 computations (36% saved)
29 alts after pruning (29 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1335 | 29 | 1364 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 0 | 3 |
| Total | 1339 | 29 | 1368 |
| Status | Error | Program |
|---|---|---|
| 9.4b | (+.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| ▶ | 9.6b | (+.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| 23.0b | (+.f64 (/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) (-.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 9.3b | (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 9.4b | (+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 9.7b | (+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| ▶ | 22.7b | (+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| 9.2b | (+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) | |
| 9.3b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (/.f64 x (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) -1)) | |
| 14.1b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)) | |
| 9.4b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x))) | |
| 28.1b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)) | |
| 31.4b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y))) | |
| 30.2b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) | |
| ▶ | 15.4b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
| 27.2b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))) | |
| 11.8b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (*.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) | |
| 15.4b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) | |
| 26.1b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) | |
| 14.1b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x))) | |
| 9.4b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)))) | |
| 21.4b | (+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z)) | |
| 31.4b | (+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 y x) (*.f64 z z))) | |
| 9.3b | (+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (/.f64 1 (neg.f64 x)))) | |
| 9.3b | (+.f64 (+.f64 (-.f64 (*.f64 (+.f64 -1/2 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) | |
| ▶ | 10.5b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| 35.1b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| ▶ | 9.1b | (+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (log.f64 x) (-.f64 1/2 x) (expm1.f64 (log1p.f64 x))))) |
| 15.3b | (+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) |
Compiled 1572 to 1150 computations (26.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) | |
| ✓ | 0.2b | (fma.f64 (log.f64 x) (-.f64 1/2 x) (expm1.f64 (log1p.f64 x))) |
| ✓ | 3.5b | (expm1.f64 (log1p.f64 x)) |
| 8.6b | (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
Compiled 103 to 59 computations (42.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (expm1.f64 (log1p.f64 x)) |
| 0.0ms | x | @ | -inf | (expm1.f64 (log1p.f64 x)) |
| 0.0ms | x | @ | 0 | (expm1.f64 (log1p.f64 x)) |
| 0.0ms | x | @ | -inf | (fma.f64 (log.f64 x) (-.f64 1/2 x) (expm1.f64 (log1p.f64 x))) |
| 0.0ms | x | @ | 0 | (fma.f64 (log.f64 x) (-.f64 1/2 x) (expm1.f64 (log1p.f64 x))) |
| 1× | batch-egg-rewrite |
| 852× | *-commutative |
| 630× | unswap-sqr |
| 546× | associate-*r/ |
| 492× | swap-sqr |
| 420× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 20 |
| 1 | 225 | 20 |
| 2 | 2518 | 20 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (log1p.f64 x)) |
(fma.f64 (log.f64 x) (-.f64 1/2 x) (expm1.f64 (log1p.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (+.f64 x 2) x)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3) -1)) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x 2) x) 1) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) 1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 -1 (*.f64 (log.f64 x) (-.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) 1/2) (+.f64 (*.f64 (log.f64 x) (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (log.f64 x) 1/2)) (*.f64 (log.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 1) (-.f64 1 (*.f64 (log.f64 x) (-.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) x) (-.f64 (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 2) (*.f64 x (-.f64 x (*.f64 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/.f64 (-.f64 (*.f64 (+.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 1) (+.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 1)) 1) (+.f64 (+.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))))) |
| 1× | egg-herbie |
| 1046× | associate--r+ |
| 952× | associate-+l- |
| 892× | associate-+r- |
| 842× | associate-/r* |
| 810× | associate--l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 248 | 3623 |
| 1 | 609 | 2877 |
| 2 | 3508 | 2877 |
| 1× | node limit |
| Inputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(*.f64 1/2 (log.f64 x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x))) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x))) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x))) |
(*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) |
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (*.f64 -1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (*.f64 -1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (*.f64 -1/2 (log.f64 (/.f64 1 x)))) |
(*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x))) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x))) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x))) |
(+.f64 x 0) |
(+.f64 1 (+.f64 x -1)) |
(+.f64 (+.f64 x 1) -1) |
(+.f64 (+.f64 x -1) 1) |
(+.f64 -1 (+.f64 x 1)) |
(-.f64 (+.f64 x 1) 1) |
(-.f64 (+.f64 x 2) 2) |
(*.f64 x 1) |
(*.f64 1 x) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) |
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (cbrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (cbrt.f64 x))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(*.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(*.f64 (pow.f64 (cbrt.f64 x) 3/2) (pow.f64 (cbrt.f64 x) 3/2)) |
(*.f64 (pow.f64 (pow.f64 x 3) 1/6) (pow.f64 (pow.f64 x 3) 1/6)) |
(*.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) 2)) (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) 2))) |
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (cbrt.f64 (log.f64 x)) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (cbrt.f64 (log.f64 x)) 2))) |
(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (/.f64 (sqrt.f64 (log.f64 x)) 2)) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (/.f64 (sqrt.f64 (log.f64 x)) 2))) |
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 1) 3) -1))) |
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) |
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 x 1) -1)) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1)))) |
(/.f64 (*.f64 1 (*.f64 (+.f64 x 2) x)) (+.f64 x 2)) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3) -1)) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))) |
(/.f64 (*.f64 (*.f64 (+.f64 x 2) x) 1) (+.f64 x 2)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) 1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 1 (+.f64 x -1))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))) |
(pow.f64 x 1) |
(pow.f64 (sqrt.f64 x) 2) |
(pow.f64 (cbrt.f64 x) 3) |
(pow.f64 (pow.f64 x 3) 1/3) |
(pow.f64 (exp.f64 1) (log.f64 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(sqrt.f64 (*.f64 x x)) |
(log.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 x))) |
(cbrt.f64 (pow.f64 x 3)) |
(exp.f64 (log.f64 x)) |
(log1p.f64 (expm1.f64 x)) |
(+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) |
(+.f64 (+.f64 x 1) (+.f64 -1 (*.f64 (log.f64 x) (-.f64 1/2 x)))) |
(+.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) x) |
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) -1) |
(+.f64 (*.f64 (log.f64 x) 1/2) (+.f64 (*.f64 (log.f64 x) (neg.f64 x)) x)) |
(+.f64 (+.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 1) -1) |
(+.f64 (+.f64 x (*.f64 (log.f64 x) 1/2)) (*.f64 (log.f64 x) (neg.f64 x))) |
(-.f64 (+.f64 x 1) (-.f64 1 (*.f64 (log.f64 x) (-.f64 1/2 x)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 1) |
(-.f64 (+.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 1) 1) |
(*.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 1) |
(*.f64 1 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) |
(*.f64 (sqrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (sqrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) |
(*.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 2) (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) x))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 2) (*.f64 x (-.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (sqrt.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) (*.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (sqrt.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 3) 1/6)) |
(/.f64 1 (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) x) (-.f64 (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 2) (*.f64 x x)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 2) (*.f64 x (-.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 3)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 2) (*.f64 x x)) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) x)) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 3)) (+.f64 (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 2) (*.f64 x (-.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 2) (*.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 2) (*.f64 x x))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) x)) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 3))) (+.f64 (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 2) (*.f64 x (-.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 2) (*.f64 x x)) 1) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 3)) 1) (+.f64 (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 2) (*.f64 x (-.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 2)) (-.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) (exp.f64 (log1p.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 1)) |
(/.f64 (-.f64 (*.f64 (+.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 1) (+.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 1)) 1) (+.f64 (+.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 1) 1)) |
(pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3) |
(pow.f64 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)) |
(log.f64 (exp.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) |
(cbrt.f64 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) |
(exp.f64 (log.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) |
(log1p.f64 (expm1.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) |
| Outputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(*.f64 1/2 (log.f64 x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x))) |
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x))) |
(fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x))) |
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x))) |
(fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x))) |
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x))) |
(fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
(*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) |
(*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) |
(-.f64 x (*.f64 x (log.f64 x))) |
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (*.f64 -1/2 (log.f64 (/.f64 1 x)))) |
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x))) |
(fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (*.f64 -1/2 (log.f64 (/.f64 1 x)))) |
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x))) |
(fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (*.f64 -1/2 (log.f64 (/.f64 1 x)))) |
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x))) |
(fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
(*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)) |
(neg.f64 (*.f64 x (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1))) |
(*.f64 x (neg.f64 (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) |
(*.f64 (-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) -1)) (neg.f64 x)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x))) |
(fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (*.f64 x (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1)))) |
(fma.f64 (neg.f64 (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(fma.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 (-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) -1)) (neg.f64 x))) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x))) |
(fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (*.f64 x (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1)))) |
(fma.f64 (neg.f64 (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(fma.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 (-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) -1)) (neg.f64 x))) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x))) |
(fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (*.f64 x (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1)))) |
(fma.f64 (neg.f64 (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(fma.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 (-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) -1)) (neg.f64 x))) |
(+.f64 x 0) |
x |
(+.f64 1 (+.f64 x -1)) |
x |
(+.f64 (+.f64 x 1) -1) |
x |
(+.f64 (+.f64 x -1) 1) |
x |
(+.f64 -1 (+.f64 x 1)) |
x |
(-.f64 (+.f64 x 1) 1) |
x |
(-.f64 (+.f64 x 2) 2) |
x |
(*.f64 x 1) |
x |
(*.f64 1 x) |
x |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
x |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) |
x |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) |
x |
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) |
x |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (cbrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (cbrt.f64 x))) |
x |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x)))) |
x |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 -1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 3/2) (pow.f64 (cbrt.f64 x) 3/2)) |
x |
(*.f64 (pow.f64 (pow.f64 x 3) 1/6) (pow.f64 (pow.f64 x 3) 1/6)) |
x |
(*.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) 2)) (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) 2))) |
(pow.f64 (E.f64) (log.f64 x)) |
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (cbrt.f64 (log.f64 x)) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (cbrt.f64 (log.f64 x)) 2))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (/.f64 (sqrt.f64 (log.f64 x)) 2)) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (/.f64 (sqrt.f64 (log.f64 x)) 2))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) |
x |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 1) 3) -1))) |
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 3)) (+.f64 (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 2) (*.f64 x (-.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 3)) (fma.f64 x (-.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 2))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 3)) (fma.f64 x x (*.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (fma.f64 (log.f64 x) (-.f64 1/2 x) (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) 2)) (-.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) (exp.f64 (log1p.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 1)) |
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))) |
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) (+.f64 2 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) |
(/.f64 (-.f64 (*.f64 (+.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 1) (+.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 1)) 1) (+.f64 (+.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 1) 1)) |
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))) |
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) (+.f64 2 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) |
(pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 1) |
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x))) |
(fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
(pow.f64 (sqrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 2) |
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x))) |
(fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3) |
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x))) |
(fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
(pow.f64 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 3) 1/3) |
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x))) |
(fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)) |
(fabs.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) |
(log.f64 (exp.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) |
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x))) |
(fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) |
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x))) |
(fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
(cbrt.f64 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 3)) |
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x))) |
(fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
(expm1.f64 (log1p.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) |
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x))) |
(fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
(exp.f64 (log.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) |
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x))) |
(fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
(log1p.f64 (expm1.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) |
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x))) |
(fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) | |
| 0.2b | (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) | |
| 0.2b | (*.f64 (-.f64 x 1/2) (log.f64 x)) | |
| ✓ | 0.4b | (/.f64 83333333333333/1000000000000000 x) |
Compiled 53 to 33 computations (37.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 83333333333333/1000000000000000 x) |
| 0.0ms | x | @ | inf | (/.f64 83333333333333/1000000000000000 x) |
| 0.0ms | x | @ | -inf | (/.f64 83333333333333/1000000000000000 x) |
| 1× | batch-egg-rewrite |
| 1022× | add-sqr-sqrt |
| 994× | *-un-lft-identity |
| 948× | pow1 |
| 938× | add-cube-cbrt |
| 930× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 107 | 7 |
| 2 | 1262 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 83333333333333/1000000000000000 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 83333333333333/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 83333333333333/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x))))))) |
| 1× | egg-herbie |
| 1012× | associate-*r* |
| 940× | associate-*r/ |
| 900× | associate-/l* |
| 782× | associate-*l* |
| 692× | *-commutative |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 378 |
| 1 | 101 | 264 |
| 2 | 451 | 150 |
| 3 | 2646 | 144 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(*.f64 83333333333333/1000000000000000 (/.f64 1 x)) |
(*.f64 (/.f64 83333333333333/1000000000000000 x) 1) |
(*.f64 1 (/.f64 83333333333333/1000000000000000 x)) |
(*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) |
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x))) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x))) |
(pow.f64 (/.f64 83333333333333/1000000000000000 x) 1) |
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3) |
(pow.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3) 1/3) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x))) |
(cbrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x))) |
(exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x))) |
(log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 83333333333333/1000000000000000 (/.f64 1 x)) |
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 83333333333333/1000000000000000 x) 1) |
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 1 (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))) |
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x))) |
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(pow.f64 (/.f64 83333333333333/1000000000000000 x) 1) |
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) |
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3) |
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(pow.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3) 1/3) |
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(fabs.f64 (/.f64 83333333333333/1000000000000000 x)) |
(log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(cbrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3)) |
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| ✓ | 0.1b | (*.f64 (+.f64 y 7936500793651/10000000000000000) z) |
| ✓ | 0.3b | (*.f64 x (-.f64 (log.f64 x) 1)) |
| 8.6b | (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) |
Compiled 101 to 67 computations (33.7% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | x | @ | 0 | (*.f64 x (-.f64 (log.f64 x) 1)) |
| 8.0ms | x | @ | -inf | (*.f64 x (-.f64 (log.f64 x) 1)) |
| 6.0ms | x | @ | inf | (*.f64 x (-.f64 (log.f64 x) 1)) |
| 1.0ms | z | @ | inf | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 0.0ms | z | @ | 0 | (*.f64 (+.f64 y 7936500793651/10000000000000000) z) |
| 1× | batch-egg-rewrite |
| 1824× | associate-*r/ |
| 1538× | associate-*l/ |
| 350× | add-sqr-sqrt |
| 334× | pow1 |
| 334× | *-un-lft-identity |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 51 |
| 1 | 343 | 51 |
| 2 | 4323 | 51 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (-.f64 (log.f64 x) 1)) |
(*.f64 (+.f64 y 7936500793651/10000000000000000) z) |
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1222× | unswap-sqr |
| 1204× | associate-/l* |
| 740× | associate-/r* |
| 460× | distribute-lft-neg-in |
| 438× | distribute-rgt-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 400 | 6743 |
| 1 | 952 | 6689 |
| 2 | 3360 | 6345 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 (log.f64 x) 1) x) |
(*.f64 (-.f64 (log.f64 x) 1) x) |
(*.f64 (-.f64 (log.f64 x) 1) x) |
(*.f64 (-.f64 (log.f64 x) 1) x) |
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) |
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) |
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) |
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) |
(*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x) |
(*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x) |
(*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x) |
(*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x) |
(*.f64 7936500793651/10000000000000000 z) |
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) |
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) |
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) |
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) |
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) |
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) |
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) |
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) |
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) |
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) |
(*.f64 y (pow.f64 z 2)) |
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) |
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) |
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) |
(*.f64 y (pow.f64 z 2)) |
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) |
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) |
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) |
(*.f64 -13888888888889/5000000000000000 z) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 (*.f64 x (log.f64 x)) (*.f64 x -1)) |
(+.f64 (*.f64 x -1) (*.f64 x (log.f64 x))) |
(+.f64 (*.f64 (log.f64 x) x) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 x) (*.f64 (log.f64 x) x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (log.f64 x) -1)))) 1) |
(/.f64 x (/.f64 (+.f64 (log.f64 x) 1) (+.f64 (pow.f64 (log.f64 x) 2) -1))) |
(/.f64 x (/.f64 (+.f64 1 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2))) (+.f64 -1 (pow.f64 (log.f64 x) 3)))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (log.f64 x) 2) -1)) (+.f64 (log.f64 x) 1)) |
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 (log.f64 x) 3))) (+.f64 1 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2)))) |
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 (log.f64 x) 3))) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) x) (+.f64 (log.f64 x) 1)) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) x) (+.f64 1 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2)))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) x) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1)))) |
(/.f64 (*.f64 x (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1))) (neg.f64 (+.f64 (log.f64 x) 1))) |
(/.f64 (*.f64 x (neg.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)))) (neg.f64 (+.f64 1 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2))))) |
(/.f64 (*.f64 1 (*.f64 x (+.f64 (pow.f64 (log.f64 x) 2) -1))) (+.f64 (log.f64 x) 1)) |
(/.f64 (*.f64 1 (*.f64 x (+.f64 -1 (pow.f64 (log.f64 x) 3)))) (+.f64 1 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2)))) |
(/.f64 (*.f64 1 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) x)) (+.f64 (log.f64 x) 1)) |
(/.f64 (*.f64 1 (*.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) x)) (+.f64 1 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2)))) |
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(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 2) |
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 3) |
(pow.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2)) |
(log.f64 (pow.f64 (exp.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))) |
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3) (pow.f64 z 3))) |
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))) |
(exp.f64 (log.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))) |
| Outputs |
|---|
(*.f64 (-.f64 (log.f64 x) 1) x) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(*.f64 (-.f64 (log.f64 x) 1) x) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(*.f64 (-.f64 (log.f64 x) 1) x) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(*.f64 (-.f64 (log.f64 x) 1) x) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x) |
(*.f64 x (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1)) |
(*.f64 x (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(*.f64 x (-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) -1))) |
(*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x) |
(*.f64 x (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1)) |
(*.f64 x (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(*.f64 x (-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) -1))) |
(*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x) |
(*.f64 x (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1)) |
(*.f64 x (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(*.f64 x (-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) -1))) |
(*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x) |
(*.f64 x (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1)) |
(*.f64 x (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(*.f64 x (-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) -1))) |
(*.f64 7936500793651/10000000000000000 z) |
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 y z) |
(*.f64 z y) |
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 y z) |
(*.f64 z y) |
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) |
(*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) |
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) |
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) |
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 y (*.f64 z z))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) |
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) |
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 y (*.f64 z z))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) |
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) |
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 y (*.f64 z z))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) |
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) |
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 y (*.f64 z z))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) |
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) |
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 y (*.f64 z z))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) |
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) |
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 y (*.f64 z z))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) |
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) |
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 y (*.f64 z z))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) |
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) |
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 y (*.f64 z z))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) |
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) |
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 y (*.f64 z z))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(*.f64 -13888888888889/5000000000000000 z) |
(*.f64 z -13888888888889/5000000000000000) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) |
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 y (*.f64 z z))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) |
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 y (*.f64 z z))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) |
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 y (*.f64 z z))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) |
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 y (*.f64 z z))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) |
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 y (*.f64 z z))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) |
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 y (*.f64 z z))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y)) |
(*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) |
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 y (*.f64 z z))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) |
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 y (*.f64 z z))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) |
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 y (*.f64 z z))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(+.f64 (*.f64 x (log.f64 x)) (*.f64 x -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(+.f64 (*.f64 x -1) (*.f64 x (log.f64 x))) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(+.f64 (*.f64 (log.f64 x) x) (*.f64 -1 x)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(+.f64 (*.f64 -1 x) (*.f64 (log.f64 x) x)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (log.f64 x) -1)))) 1) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(/.f64 x (/.f64 (+.f64 (log.f64 x) 1) (+.f64 (pow.f64 (log.f64 x) 2) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (/.f64 (+.f64 (log.f64 x) 1) x)) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) 1)) x) |
(*.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (/.f64 x (+.f64 (log.f64 x) 1))) |
(/.f64 x (/.f64 (+.f64 1 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2))) (+.f64 -1 (pow.f64 (log.f64 x) 3)))) |
(*.f64 (/.f64 x (+.f64 1 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2)))) (+.f64 -1 (pow.f64 (log.f64 x) 3))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 1 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2)))) x) |
(/.f64 (-.f64 1 (pow.f64 (log.f64 x) 3)) (/.f64 (+.f64 -1 (*.f64 (log.f64 x) (-.f64 -1 (log.f64 x)))) x)) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (log.f64 x) 2) -1)) (+.f64 (log.f64 x) 1)) |
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (/.f64 (+.f64 (log.f64 x) 1) x)) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) 1)) x) |
(*.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (/.f64 x (+.f64 (log.f64 x) 1))) |
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 (log.f64 x) 3))) (+.f64 1 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2)))) |
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(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))) |
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) |
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 y (*.f64 z z))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x) |
| ✓ | 0.2b | (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) |
| 8.6b | (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) | |
| ✓ | 18.2b | (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)) |
Compiled 145 to 93 computations (35.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) |
| 1.0ms | x | @ | 0 | (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) |
| 1.0ms | x | @ | inf | (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)) |
| 0.0ms | x | @ | -inf | (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x) |
| 1× | batch-egg-rewrite |
| 1474× | associate-/r/ |
| 1008× | distribute-rgt-in |
| 966× | distribute-lft-in |
| 822× | associate-/l/ |
| 302× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 89 |
| 1 | 289 | 53 |
| 2 | 4075 | 53 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)) |
(/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) |
(-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 x x -1/4)) x) (*.f64 (/.f64 1 (fma.f64 x x -1/4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 x x -1/4)) 1/2) (*.f64 (/.f64 1 (fma.f64 x x -1/4)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 (fma.f64 x x -1/4))) (*.f64 1/2 (/.f64 1 (fma.f64 x x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 1 (fma.f64 x x -1/4))) (*.f64 x (/.f64 1 (fma.f64 x x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1/2) (/.f64 1 (fma.f64 x x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1/2)) (*.f64 (sqrt.f64 (+.f64 x 1/2)) (/.f64 1 (fma.f64 x x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (*.f64 x x)) (*.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) -1/4) (*.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (/.f64 (log.f64 x) (+.f64 x 1/2))) (*.f64 -1/4 (/.f64 (log.f64 x) (+.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/4 (/.f64 (log.f64 x) (+.f64 x 1/2))) (*.f64 (*.f64 x x) (/.f64 (log.f64 x) (+.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (*.f64 x x))) (*.f64 1 (*.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 x x) (/.f64 (log.f64 x) (+.f64 x 1/2)))) (*.f64 1 (*.f64 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x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x))) (neg.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (log.f64 x) (+.f64 x -1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) 2) (cbrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (fma.f64 x x -1/4) (neg.f64 x)))))) |
| 1× | egg-herbie |
| 924× | *-commutative |
| 902× | associate-*r* |
| 862× | associate-*l* |
| 658× | associate-/l* |
| 588× | associate-*l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 742 | 12711 |
| 1 | 2412 | 11685 |
| 1× | node limit |
| Inputs |
|---|
-2 |
(-.f64 (*.f64 -4 x) 2) |
(-.f64 (+.f64 (*.f64 -4 x) (*.f64 -8 (pow.f64 x 2))) 2) |
(-.f64 (+.f64 (*.f64 -4 x) (+.f64 (*.f64 -16 (pow.f64 x 3)) (*.f64 -8 (pow.f64 x 2)))) 2) |
(/.f64 1 x) |
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)))) |
(/.f64 1 x) |
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)))) |
(*.f64 -1/2 (log.f64 x)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(*.f64 -1/2 (log.f64 x)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x))) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x))) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x))) |
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) |
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) |
(+.f64 (*.f64 (/.f64 1 (fma.f64 x x -1/4)) x) (*.f64 (/.f64 1 (fma.f64 x x -1/4)) 1/2)) |
(+.f64 (*.f64 (/.f64 1 (fma.f64 x x -1/4)) 1/2) (*.f64 (/.f64 1 (fma.f64 x x -1/4)) x)) |
(+.f64 (*.f64 x (/.f64 1 (fma.f64 x x -1/4))) (*.f64 1/2 (/.f64 1 (fma.f64 x x -1/4)))) |
(+.f64 (*.f64 1/2 (/.f64 1 (fma.f64 x x -1/4))) (*.f64 x (/.f64 1 (fma.f64 x x -1/4)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1/2)))) 1) |
(*.f64 (+.f64 x 1/2) (/.f64 1 (fma.f64 x x -1/4))) |
(*.f64 (/.f64 1 (+.f64 x -1/2)) 1) |
(*.f64 1 (/.f64 1 (+.f64 x -1/2))) |
(*.f64 (sqrt.f64 (+.f64 x 1/2)) (*.f64 (sqrt.f64 (+.f64 x 1/2)) (/.f64 1 (fma.f64 x x -1/4)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/2))) (/.f64 1 (sqrt.f64 (+.f64 x -1/2)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/2)) 2) (*.f64 (cbrt.f64 (+.f64 x 1/2)) (/.f64 1 (fma.f64 x x -1/4)))) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/2))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/2))) 2)) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/2))) 2) (/.f64 1 (cbrt.f64 (+.f64 x -1/2)))) |
(*.f64 (/.f64 1 (fma.f64 x x -1/4)) (+.f64 x 1/2)) |
(*.f64 (-.f64 -1/2 x) (/.f64 1 (-.f64 1/4 (*.f64 x x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x -1/4))) (/.f64 (+.f64 x 1/2) (sqrt.f64 (fma.f64 x x -1/4)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x -1/4)) 2)) (/.f64 (+.f64 x 1/2) (cbrt.f64 (fma.f64 x x -1/4)))) |
(*.f64 -1 (/.f64 -1 (+.f64 x -1/2))) |
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 -1/2 x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1/2)) 1) (/.f64 (sqrt.f64 (+.f64 x 1/2)) (fma.f64 x x -1/4))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1/2)) (fma.f64 x x -1/4)) (sqrt.f64 (+.f64 x 1/2))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1/2)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/4)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1/2)) (cbrt.f64 (fma.f64 x x -1/4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1/2)) (fma.f64 x x -1/4))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/2)) 2) (sqrt.f64 (fma.f64 x x -1/4))) (/.f64 (cbrt.f64 (+.f64 x 1/2)) (sqrt.f64 (fma.f64 x x -1/4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/2)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x -1/4)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x -1/2)))) |
(*.f64 (/.f64 (+.f64 x 1/2) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1/16)) (+.f64 (*.f64 x x) 1/4)) |
(*.f64 (/.f64 (+.f64 x 1/2) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1/16)) (-.f64 (*.f64 x x) -1/4)) |
(*.f64 (/.f64 (+.f64 x 1/2) (+.f64 -1/64 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 1/16 (*.f64 (*.f64 x x) -1/4)))) |
(*.f64 (/.f64 (+.f64 x 1/2) (-.f64 (pow.f64 (*.f64 x x) 3) 1/64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1/16 (*.f64 (*.f64 x x) 1/4)))) |
(*.f64 (/.f64 1 (/.f64 (fma.f64 x x -1/4) (sqrt.f64 (+.f64 x 1/2)))) (sqrt.f64 (+.f64 x 1/2))) |
(*.f64 (/.f64 1 (/.f64 (fma.f64 x x -1/4) (pow.f64 (cbrt.f64 (+.f64 x 1/2)) 2))) (cbrt.f64 (+.f64 x 1/2))) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/2))) 2))) (/.f64 1 (cbrt.f64 (+.f64 x -1/2)))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 x 3) 1/8)) (+.f64 (*.f64 x x) (*.f64 1/2 (+.f64 x 1/2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/2)) 2) (fma.f64 x x -1/4)) (cbrt.f64 (+.f64 x 1/2))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 1 (fma.f64 x x -1/4))) (fma.f64 x x -1/4)) (+.f64 x 1/2)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 1 (fma.f64 x x -1/4))) 1) (/.f64 1 (+.f64 x -1/2))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 1 (fma.f64 x x -1/4))) (sqrt.f64 (fma.f64 x x -1/4))) (/.f64 (+.f64 x 1/2) (sqrt.f64 (fma.f64 x x -1/4)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 1 (fma.f64 x x -1/4))) (pow.f64 (cbrt.f64 (fma.f64 x x -1/4)) 2)) (/.f64 (+.f64 x 1/2) (cbrt.f64 (fma.f64 x x -1/4)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 1 (fma.f64 x x -1/4))) (-.f64 1/4 (*.f64 x x))) (-.f64 -1/2 x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 1 (fma.f64 x x -1/4))) (/.f64 (fma.f64 x x -1/4) 1)) (+.f64 x 1/2)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 1 (fma.f64 x x -1/4))) (/.f64 (fma.f64 x x -1/4) (sqrt.f64 (+.f64 x 1/2)))) (sqrt.f64 (+.f64 x 1/2))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 1 (fma.f64 x x -1/4))) (/.f64 (fma.f64 x x -1/4) (pow.f64 (cbrt.f64 (+.f64 x 1/2)) 2))) (cbrt.f64 (+.f64 x 1/2))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 1 (fma.f64 x x -1/4))) (/.f64 1 (+.f64 x 1/2))) (/.f64 1 (fma.f64 x x -1/4))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 1 (fma.f64 x x -1/4))) (*.f64 1 (sqrt.f64 (+.f64 x -1/2)))) (/.f64 1 (sqrt.f64 (+.f64 x -1/2)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 1 (fma.f64 x x -1/4))) (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/2))) 2))) (/.f64 1 (cbrt.f64 (+.f64 x -1/2)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 1 (fma.f64 x x -1/4))) -1) (/.f64 -1 (+.f64 x -1/2))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 1 (fma.f64 x x -1/4))) (-.f64 (pow.f64 x 3) 1/8)) (+.f64 (*.f64 x x) (*.f64 1/2 (+.f64 x 1/2)))) |
(*.f64 (/.f64 (*.f64 (+.f64 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x -1/4))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 1/4 (*.f64 x 1/2)) (-.f64 1/4 (*.f64 x 1/2))))) (+.f64 (fma.f64 x x -1/4) (*.f64 x 1/2))) |
(*.f64 (/.f64 (*.f64 (+.f64 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x -1/4))) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1/4 (*.f64 x 1/2)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (-.f64 1/4 (*.f64 x 1/2)) (-.f64 1/4 (*.f64 x 1/2))) (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 x 1/2)))))) |
(pow.f64 (/.f64 1 (+.f64 x -1/2)) 1) |
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/2))) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/2))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x -1/2)) 3) 1/3) |
(pow.f64 (+.f64 x -1/2) -1) |
(neg.f64 (/.f64 (+.f64 x 1/2) (-.f64 1/4 (*.f64 x x)))) |
(sqrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1/2)) 2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1/2))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1/2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1/2) 3) (pow.f64 (fma.f64 x x -1/4) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1/2)))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1/2)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1/2))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1/2)))) |
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(+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) (*.f64 1 (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) (*.f64 (fma.f64 (neg.f64 x) 1 x) 1)) |
(+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) 1)) |
(+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) 1)) |
(+.f64 (neg.f64 x) (*.f64 (log.f64 x) (+.f64 x -1/2))) |
(+.f64 (neg.f64 x) (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (neg.f64 x) (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (neg.f64 x) (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (*.f64 x x)) (+.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) -1/4) (neg.f64 x))) |
(+.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (*.f64 x x)) (+.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) -1/4) (*.f64 (neg.f64 x) 1))) |
(+.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) -1/4) x)) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (log.f64 x) (+.f64 x 1/2))) (+.f64 (*.f64 -1/4 (/.f64 (log.f64 x) (+.f64 x 1/2))) (neg.f64 x))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (log.f64 x) (+.f64 x 1/2))) (+.f64 (*.f64 -1/4 (/.f64 (log.f64 x) (+.f64 x 1/2))) (*.f64 (neg.f64 x) 1))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (log.f64 x) (+.f64 x 1/2))) (-.f64 (*.f64 -1/4 (/.f64 (log.f64 x) (+.f64 x 1/2))) x)) |
(+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (log.f64 x) (+.f64 x -1/2))) |
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) |
(+.f64 (+.f64 (neg.f64 x) (*.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (*.f64 x x))) (*.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) -1/4)) |
(+.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 x x) (/.f64 (log.f64 x) (+.f64 x 1/2)))) (*.f64 -1/4 (/.f64 (log.f64 x) (+.f64 x 1/2)))) |
(+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (exp.f64 (log1p.f64 x))) 1) |
(*.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 1) |
(*.f64 1 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) (sqrt.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) 2) (cbrt.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))))) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (fma.f64 (log.f64 x) (+.f64 x -1/2) x)) (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))) (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x))) (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3))) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 (log.f64 x) (+.f64 x -1/2)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2)) (*.f64 (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))))) (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) 3) (pow.f64 (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2)) (-.f64 (*.f64 (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))))) |
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (fma.f64 (log.f64 x) (+.f64 x -1/2) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3)) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) 3) (pow.f64 (*.f64 x x) 3)) (*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x))) (neg.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))))) |
(pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 1) |
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) 2) |
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) 3) |
(pow.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) |
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)))) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))) |
(exp.f64 (log.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) 1)) |
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(fma.f64 1 (*.f64 (log.f64 x) (+.f64 x -1/2)) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) (neg.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) 2) (cbrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) (neg.f64 x)) |
(fma.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (fma.f64 x x -1/4) (neg.f64 x)) |
| Outputs |
|---|
-2 |
(-.f64 (*.f64 -4 x) 2) |
(fma.f64 -4 x -2) |
(-.f64 (+.f64 (*.f64 -4 x) (*.f64 -8 (pow.f64 x 2))) 2) |
(+.f64 (fma.f64 -4 x (*.f64 -8 (*.f64 x x))) -2) |
(+.f64 (*.f64 x (*.f64 x -8)) (fma.f64 -4 x -2)) |
(-.f64 (+.f64 (*.f64 -4 x) (+.f64 (*.f64 -16 (pow.f64 x 3)) (*.f64 -8 (pow.f64 x 2)))) 2) |
(+.f64 (fma.f64 -4 x (fma.f64 -16 (pow.f64 x 3) (*.f64 -8 (*.f64 x x)))) -2) |
(+.f64 (fma.f64 -16 (pow.f64 x 3) (*.f64 x (*.f64 x -8))) (fma.f64 -4 x -2)) |
(/.f64 1 x) |
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 3))) |
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)))) |
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/8 (pow.f64 x 4))))) |
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/8 (pow.f64 x 4)))) |
(/.f64 1 x) |
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 3))) |
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)))) |
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/8 (pow.f64 x 4))))) |
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/8 (pow.f64 x 4)))) |
(*.f64 -1/2 (log.f64 x)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x)) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x)) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x)) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(neg.f64 (*.f64 x (neg.f64 (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (fma.f64 (log.f64 x) (+.f64 x -1/2) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 6) (pow.f64 x 6)) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 6) (pow.f64 x 6)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3))) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 4) (pow.f64 x 4)) (*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (+.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (neg.f64 x))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3)) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 6) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3)) (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 6))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) 3) (pow.f64 (*.f64 x x) 3)) (*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) 3) (pow.f64 x 6)) (*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 4) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 6) (pow.f64 x 6)) (*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (+.f64 (pow.f64 x 4) (+.f64 (*.f64 x (*.f64 x (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2))) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 4))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x))) (neg.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (neg.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3))) (-.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2)) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))) |
(pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 1) |
(fma.f64 -1/2 (log.f64 x) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) 2) |
(fma.f64 -1/2 (log.f64 x) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) 3) |
(fma.f64 -1/2 (log.f64 x) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(pow.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 3) 1/3) |
(fma.f64 -1/2 (log.f64 x) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 2)) |
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)))) |
(fma.f64 -1/2 (log.f64 x) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 3)) |
(fma.f64 -1/2 (log.f64 x) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))) |
(fma.f64 -1/2 (log.f64 x) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(exp.f64 (log.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))) |
(fma.f64 -1/2 (log.f64 x) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) 1)) |
(fma.f64 -1/2 (log.f64 x) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))) |
(fma.f64 -1/2 (log.f64 x) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(fma.f64 -1/2 (log.f64 x) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))) |
(fma.f64 1 (*.f64 (log.f64 x) (+.f64 x -1/2)) (neg.f64 x)) |
(fma.f64 -1/2 (log.f64 x) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) (neg.f64 x)) |
(fma.f64 -1/2 (log.f64 x) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) 2) (cbrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) (neg.f64 x)) |
(fma.f64 -1/2 (log.f64 x) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(fma.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (fma.f64 x x -1/4) (neg.f64 x)) |
(-.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) x) |
(-.f64 (/.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x 1/2) (log.f64 x))) x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) |
| ✓ | 0.5b | (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3) |
| 8.6b | (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) |
Compiled 136 to 86 computations (36.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3) |
| 1.0ms | x | @ | 0 | (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) |
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3) |
| 0.0ms | x | @ | inf | (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) |
| 1× | batch-egg-rewrite |
| 968× | associate-*r/ |
| 840× | associate-*l/ |
| 754× | distribute-rgt-in |
| 724× | distribute-lft-in |
| 310× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 85 |
| 1 | 325 | 73 |
| 2 | 3794 | 73 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3) |
(cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) |
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 1 (+.f64 x 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 91893853320467/100000000000000) (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1) (+.f64 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1) (*.f64 (+.f64 x 91893853320467/100000000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 91893853320467/100000000000000 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) 8106146679533/100000000000000)))) 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cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))))) |
| 1× | egg-herbie |
| 1012× | +-commutative |
| 952× | associate-*r* |
| 756× | associate-*l* |
| 630× | fma-def |
| 582× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 564 | 16889 |
| 1 | 1670 | 15427 |
| 2 | 6935 | 15427 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 2) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))) 1/3) |
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 1) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/9) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (-.f64 (log.f64 x) 1)))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/9) (-.f64 (log.f64 x) 1)))))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 4) 1) 1/9) (-.f64 (log.f64 x) 1)))) x) (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 2) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))) 1/3)) |
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 1) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/9) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (-.f64 (log.f64 x) 1)))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/9) (-.f64 (log.f64 x) 1)))))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 4) 1) 1/9) (-.f64 (log.f64 x) 1)))) x) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 2)) 1/9) (*.f64 (-.f64 (log.f64 x) 1) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/9) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (-.f64 (log.f64 x) 1)))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/9) (-.f64 (log.f64 x) 1)))))))) (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 1) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 4)) 1/9) (*.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 1/3) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 4)) 1/9) (*.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 1/3) (pow.f64 (-.f64 (log.f64 x) 1) 2))))))))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 4)) 1/9) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 4)) 1/9) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (pow.f64 (-.f64 (log.f64 x) 1) 2))))))))) (pow.f64 x 2)) (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 2) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))) 1/3))) |
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 1) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/9) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (-.f64 (log.f64 x) 1)))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/9) (-.f64 (log.f64 x) 1)))))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 4) 1) 1/9) (-.f64 (log.f64 x) 1)))) x) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 2)) 1/9) (*.f64 (-.f64 (log.f64 x) 1) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/9) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (-.f64 (log.f64 x) 1)))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/9) (-.f64 (log.f64 x) 1)))))))) (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 1) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 4)) 1/9) (*.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 1/3) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 4)) 1/9) (*.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 1/3) (pow.f64 (-.f64 (log.f64 x) 1) 2))))))))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 4)) 1/9) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 4)) 1/9) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (pow.f64 (-.f64 (log.f64 x) 1) 2))))))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/3) (pow.f64 (-.f64 (log.f64 x) 1) 3))) (+.f64 (*.f64 -4/9 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 8)) 1/9) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 4)) 1/9) (*.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 1/3) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 4)) 1/9) (*.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 1/3) (pow.f64 (-.f64 (log.f64 x) 1) 2))))) (-.f64 (log.f64 x) 1))))) (*.f64 -2/9 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 8)) 1/9) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 4)) 1/9) (*.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 1/3) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 4)) 1/9) (*.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 1/3) (pow.f64 (-.f64 (log.f64 x) 1) 2))))) (-.f64 (log.f64 x) 1))))))) (pow.f64 1 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 2)) 1/3) (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 4)) 1/9) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 4)) 1/9) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (pow.f64 (-.f64 (log.f64 x) 1) 2))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/9) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (-.f64 (log.f64 x) 1)))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/9) (-.f64 (log.f64 x) 1)))))))) (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 1) 1/3) (+.f64 (*.f64 -2/9 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(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (*.f64 x x))) (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3))) (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (*.f64 x x)) 1) (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)) 1) (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (*.f64 x x)) 1) (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (*.f64 x x)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (*.f64 x x)) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 2)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (*.f64 x x)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 2)) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) |
(pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 3) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2)) |
(log.f64 (exp.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) |
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) |
(exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) |
| Outputs |
|---|
(pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 2) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))) |
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 3)) |
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 1) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/9) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (-.f64 (log.f64 x) 1)))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/9) (-.f64 (log.f64 x) 1)))))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 4) 1) 1/9) (-.f64 (log.f64 x) 1)))) x) (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 2) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))) 1/3)) |
(fma.f64 (fma.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (*.f64 1/3 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2)) 1/18)) (*.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (+.f64 (log.f64 x) -1))) (*.f64 (*.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2)) 1/18))) (+.f64 (log.f64 x) -1)))) (*.f64 1/3 (*.f64 (+.f64 (log.f64 x) -1) (*.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 4) 1/18))))) x (cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))) |
(fma.f64 x (fma.f64 1/3 (*.f64 (+.f64 (log.f64 x) -1) (*.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 4) 1/18))) (*.f64 (*.f64 1/3 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))) (*.f64 (+.f64 (log.f64 x) -1) (+.f64 (*.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2)) 1/18))) (*.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2)) 1/18))))))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 3))) |
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 1) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/9) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (-.f64 (log.f64 x) 1)))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/9) (-.f64 (log.f64 x) 1)))))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 4) 1) 1/9) (-.f64 (log.f64 x) 1)))) x) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 2)) 1/9) (*.f64 (-.f64 (log.f64 x) 1) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/9) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (-.f64 (log.f64 x) 1)))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/9) (-.f64 (log.f64 x) 1)))))))) (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 1) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 4)) 1/9) (*.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 1/3) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 4)) 1/9) (*.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 1/3) (pow.f64 (-.f64 (log.f64 x) 1) 2))))))))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 4)) 1/9) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 4)) 1/9) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) (pow.f64 (-.f64 (log.f64 x) 1) 2))))))))) (pow.f64 x 2)) (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 2) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))) 1/3))) |
(fma.f64 (fma.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (*.f64 1/3 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2)) 1/18)) (*.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (+.f64 (log.f64 x) -1))) (*.f64 (*.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2)) 1/18))) (+.f64 (log.f64 x) -1)))) (*.f64 1/3 (*.f64 (+.f64 (log.f64 x) -1) (*.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 4) 1/18))))) x (fma.f64 (fma.f64 1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2)) 1/18)) (+.f64 (log.f64 x) -1)) (*.f64 1/3 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2)) 1/18)) (*.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (+.f64 (log.f64 x) -1))) (*.f64 (*.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2)) 1/18))) (+.f64 (log.f64 x) -1))))) (fma.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 4)) 1/18)) (pow.f64 (+.f64 (log.f64 x) -1) 2)) (*.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2))) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 4)) 1/18)) (*.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (pow.f64 (+.f64 (log.f64 x) -1) 2))) 1/3)))) (*.f64 -1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 4)) 1/18)) (*.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (pow.f64 (+.f64 (log.f64 x) -1) 2))) 1/3)))) (*.f64 x x) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))))) |
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(pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 1/3) |
(cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) |
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)) (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3)) (fma.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (*.f64 (log.f64 x) (+.f64 -1/2 x)) (*.f64 x (-.f64 x (*.f64 (log.f64 x) (+.f64 -1/2 x)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3)) (fma.f64 x (-.f64 x (*.f64 (log.f64 x) (+.f64 -1/2 x))) (*.f64 (log.f64 x) (*.f64 (log.f64 x) (*.f64 (+.f64 -1/2 x) (+.f64 -1/2 x)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3)) (fma.f64 x (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (*.f64 (log.f64 x) (*.f64 (log.f64 x) (*.f64 (+.f64 -1/2 x) (+.f64 -1/2 x)))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (*.f64 x x))) (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) |
(/.f64 (*.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) (fma.f64 (+.f64 -1/2 x) (log.f64 x) (neg.f64 x))) (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) |
(*.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) (/.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3))) (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3)) (fma.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (*.f64 (log.f64 x) (+.f64 -1/2 x)) (*.f64 x (-.f64 x (*.f64 (log.f64 x) (+.f64 -1/2 x)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3)) (fma.f64 x (-.f64 x (*.f64 (log.f64 x) (+.f64 -1/2 x))) (*.f64 (log.f64 x) (*.f64 (log.f64 x) (*.f64 (+.f64 -1/2 x) (+.f64 -1/2 x)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3)) (fma.f64 x (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (*.f64 (log.f64 x) (*.f64 (log.f64 x) (*.f64 (+.f64 -1/2 x) (+.f64 -1/2 x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (*.f64 x x)) 1) (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) |
(/.f64 (*.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) (fma.f64 (+.f64 -1/2 x) (log.f64 x) (neg.f64 x))) (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) |
(*.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) (/.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)) 1) (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3)) (fma.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (*.f64 (log.f64 x) (+.f64 -1/2 x)) (*.f64 x (-.f64 x (*.f64 (log.f64 x) (+.f64 -1/2 x)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3)) (fma.f64 x (-.f64 x (*.f64 (log.f64 x) (+.f64 -1/2 x))) (*.f64 (log.f64 x) (*.f64 (log.f64 x) (*.f64 (+.f64 -1/2 x) (+.f64 -1/2 x)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3)) (fma.f64 x (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (*.f64 (log.f64 x) (*.f64 (log.f64 x) (*.f64 (+.f64 -1/2 x) (+.f64 -1/2 x)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (*.f64 x x)) 1) (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) |
(/.f64 (*.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) (fma.f64 (+.f64 -1/2 x) (log.f64 x) (neg.f64 x))) (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) |
(*.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) (/.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (*.f64 x x)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) |
(/.f64 (*.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) (fma.f64 (+.f64 -1/2 x) (log.f64 x) (neg.f64 x))) (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) |
(*.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) (/.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (*.f64 x x)) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 2)) |
(/.f64 (*.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) (fma.f64 (+.f64 -1/2 x) (log.f64 x) (neg.f64 x))) (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) |
(*.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) (/.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (*.f64 x x)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 2)) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) |
(/.f64 (*.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) (fma.f64 (+.f64 -1/2 x) (log.f64 x) (neg.f64 x))) (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) |
(*.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) (/.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))) |
(pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 1) |
(fma.f64 (+.f64 -1/2 x) (log.f64 x) x) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) x) |
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 2) |
(fma.f64 (+.f64 -1/2 x) (log.f64 x) x) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) x) |
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 3) |
(fma.f64 (+.f64 -1/2 x) (log.f64 x) x) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) x) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3) 1/3) |
(fma.f64 (+.f64 -1/2 x) (log.f64 x) x) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) x) |
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) 2)) |
(fabs.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)) |
(log.f64 (exp.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) |
(fma.f64 (+.f64 -1/2 x) (log.f64 x) x) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) x) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) |
(fma.f64 (+.f64 -1/2 x) (log.f64 x) x) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) x) |
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3)) |
(fma.f64 (+.f64 -1/2 x) (log.f64 x) x) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) x) |
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) |
(fma.f64 (+.f64 -1/2 x) (log.f64 x) x) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) x) |
(exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) |
(fma.f64 (+.f64 -1/2 x) (log.f64 x) x) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 1)) |
(fma.f64 (+.f64 -1/2 x) (log.f64 x) x) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) x) |
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) |
(fma.f64 (+.f64 -1/2 x) (log.f64 x) x) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) x) |
Compiled 60651 to 40769 computations (32.8% saved)
39 alts after pruning (38 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1652 | 33 | 1685 |
| Fresh | 19 | 5 | 24 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 1 | 4 |
| Total | 1675 | 39 | 1714 |
| Status | Error | Program |
|---|---|---|
| 10.8b | (+.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) 3) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 15.4b | (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)) | |
| 35.7b | (+.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 2) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 9.3b | (+.f64 (+.f64 (-.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 x -1/2)) (log.f64 x)) -1) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 15.5b | (+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 15.8b | (+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 23.0b | (+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (/.f64 (-.f64 1/4 (*.f64 x x)) (-.f64 1/2 x))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| ▶ | 22.7b | (+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| 10.5b | (+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 23.0b | (+.f64 (+.f64 (-.f64 (*.f64 (/.f64 1 (-.f64 -1/2 x)) (*.f64 (log.f64 x) (-.f64 1/4 (*.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 15.3b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) | |
| ▶ | 15.4b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)) |
| 30.2b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) | |
| ✓ | 15.4b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
| 15.4b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) | |
| 9.3b | (+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (*.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 21.4b | (+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z)) | |
| 9.3b | (+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (/.f64 1 (neg.f64 x)))) | |
| ▶ | 9.2b | (+.f64 (+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (+.f64 (exp.f64 (log1p.f64 x)) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| 16.5b | (+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 44.6b | (+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 15.2b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)) | |
| 10.6b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x))) | |
| 10.5b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)) | |
| 11.3b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y)) 83333333333333/1000000000000000) x)) | |
| 16.5b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) | |
| 15.2b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) | |
| 28.0b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) | |
| 32.1b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y))) | |
| 30.9b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) | |
| 16.5b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 13.0b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (*.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) | |
| ▶ | 26.7b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
| 15.2b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x))) | |
| 35.1b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| ▶ | 44.6b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
| 30.1b | (+.f64 91893853320467/100000000000000 (-.f64 (/.f64 y (/.f64 x (*.f64 z z))) (fma.f64 (log.f64 x) (-.f64 1/2 x) (expm1.f64 (log1p.f64 x))))) | |
| 15.2b | (+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) (expm1.f64 (log1p.f64 x))))) | |
| 15.3b | (+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) |
Compiled 1813 to 1357 computations (25.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (log.f64 x) (+.f64 x -1/2)) |
| ✓ | 2.9b | (+.f64 (exp.f64 (log1p.f64 x)) -1) |
| ✓ | 3.5b | (exp.f64 (log1p.f64 x)) |
| 8.6b | (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) |
Compiled 135 to 84 computations (37.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | x | @ | 0 | (+.f64 (exp.f64 (log1p.f64 x)) -1) |
| 8.0ms | x | @ | inf | (exp.f64 (log1p.f64 x)) |
| 4.0ms | x | @ | 0 | (exp.f64 (log1p.f64 x)) |
| 4.0ms | x | @ | -inf | (exp.f64 (log1p.f64 x)) |
| 0.0ms | x | @ | -inf | (+.f64 (exp.f64 (log1p.f64 x)) -1) |
| 1× | batch-egg-rewrite |
| 1098× | *-commutative |
| 910× | associate-*r/ |
| 726× | associate-*l/ |
| 662× | distribute-lft-in |
| 634× | swap-sqr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 41 |
| 1 | 255 | 37 |
| 2 | 3153 | 25 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (log1p.f64 x)) |
(+.f64 (exp.f64 (log1p.f64 x)) -1) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (*.f64 -1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (neg.f64 (*.f64 -1 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (neg.f64 x))) (neg.f64 (sqrt.f64 (+.f64 -1 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 -1 (neg.f64 x))) (cbrt.f64 (+.f64 -1 (neg.f64 x)))) (neg.f64 (cbrt.f64 (+.f64 -1 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (*.f64 -1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (*.f64 -1 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (neg.f64 x)))) (sqrt.f64 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 -1 (neg.f64 x))) (cbrt.f64 (+.f64 -1 (neg.f64 x))))) (cbrt.f64 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 x 2)) (*.f64 x (+.f64 x 2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 x 2)) (-.f64 (pow.f64 (+.f64 x 1) 3) -1)) (+.f64 1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (-.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) (*.f64 (+.f64 x 2) (+.f64 x 2)))) (-.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 2) 3) (pow.f64 (+.f64 x 2) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))) (cbrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) 1) (-.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x 2) (neg.f64 x)) 1) (neg.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) 3))) 1) (neg.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3))) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) 1) (/.f64 1 (+.f64 x 2))) (+.f64 1 (pow.f64 (+.f64 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 2) 3) 1) (/.f64 1 (+.f64 x 2))) (+.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) 1) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))) (-.f64 (pow.f64 (+.f64 x 1) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 x 1) 3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) (-.f64 1 (*.f64 -1 (pow.f64 (+.f64 x 1) 3)))))))) 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) -1/2) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x))) (*.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) 0) (*.f64 (log.f64 x) (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 x -1/2)) (*.f64 (log.f64 (cbrt.f64 x)) (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 x)) (+.f64 x -1/2)) (*.f64 (log.f64 (sqrt.f64 x)) (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (+.f64 x -1/2)) (*.f64 (log.f64 x) (+.f64 x 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(pow.f64 x (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/2) 3) (pow.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (log.f64 x) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) x (*.f64 (log.f64 x) -1/2)))))) |
| 1× | egg-herbie |
| 906× | associate--r+ |
| 768× | associate-*r* |
| 704× | associate-*l* |
| 668× | associate-/l* |
| 656× | associate--l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 457 | 6159 |
| 1 | 1273 | 5483 |
| 2 | 6467 | 5483 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 x) |
(+.f64 1 x) |
(+.f64 1 x) |
x |
(+.f64 1 x) |
(+.f64 1 x) |
(+.f64 1 x) |
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(+.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)) |
(+.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)) |
(+.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)) |
x |
x |
x |
x |
(-.f64 (pow.f64 (/.f64 1 x) -1) 1) |
(pow.f64 (/.f64 1 x) -1) |
(pow.f64 (/.f64 1 x) -1) |
(pow.f64 (/.f64 1 x) -1) |
(-.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) 1) |
(-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)) 1) |
(-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)) 1) |
(-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)) 1) |
(*.f64 -1/2 (log.f64 x)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 x 1) |
(+.f64 1 x) |
(+.f64 (+.f64 x 2) -1) |
(+.f64 0 (+.f64 x 1)) |
(-.f64 (+.f64 x 1) 0) |
(-.f64 (+.f64 x 2) 1) |
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))) (/.f64 1 (+.f64 x 2))) |
(*.f64 (+.f64 x 1) 1) |
(*.f64 -1 (+.f64 -1 (neg.f64 x))) |
(*.f64 1 (+.f64 x 1)) |
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (*.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (neg.f64 (*.f64 -1 (cbrt.f64 (+.f64 x 1))))) |
(*.f64 (+.f64 -1 (neg.f64 x)) -1) |
(*.f64 (sqrt.f64 (+.f64 -1 (neg.f64 x))) (neg.f64 (sqrt.f64 (+.f64 -1 (neg.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 -1 (neg.f64 x))) (cbrt.f64 (+.f64 -1 (neg.f64 x)))) (neg.f64 (cbrt.f64 (+.f64 -1 (neg.f64 x))))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (*.f64 -1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (*.f64 -1 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (neg.f64 x)))) (sqrt.f64 (+.f64 -1 (neg.f64 x)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 -1 (neg.f64 x))) (cbrt.f64 (+.f64 -1 (neg.f64 x))))) (cbrt.f64 (+.f64 -1 (neg.f64 x)))) |
(/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)) |
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x))) |
(/.f64 (*.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1) (-.f64 1 x)) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (+.f64 1 (-.f64 (*.f64 x x) x))) |
(pow.f64 (+.f64 x 1) 1) |
(pow.f64 (sqrt.f64 (+.f64 x 1)) 2) |
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3) |
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/3) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x))) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))) |
(pow.f64 (exp.f64 1) (log1p.f64 x)) |
(neg.f64 (+.f64 -1 (neg.f64 x))) |
(sqrt.f64 (pow.f64 (+.f64 x 1) 2)) |
(log.f64 (exp.f64 (+.f64 x 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1)))) |
(cbrt.f64 (pow.f64 (+.f64 x 1) 3)) |
(expm1.f64 (log.f64 (+.f64 x 2))) |
(log1p.f64 (expm1.f64 (+.f64 x 1))) |
(-.f64 (+.f64 x 1) 1) |
(-.f64 (+.f64 x 2) 2) |
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (/.f64 1 (+.f64 x 2))) |
(-.f64 (+.f64 -1 (+.f64 x 2)) 1) |
(*.f64 x 1) |
(*.f64 1 x) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) |
(*.f64 (*.f64 x (+.f64 x 2)) (/.f64 1 (+.f64 x 2))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 1 (+.f64 x 2)) (*.f64 x (+.f64 x 2))) |
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3))) |
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (*.f64 x (+.f64 x 2))) x) |
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (-.f64 (pow.f64 (+.f64 x 1) 3) -1)) (+.f64 1 (+.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (-.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) (*.f64 (+.f64 x 2) (+.f64 x 2)))) (-.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 1))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 2) 3) (pow.f64 (+.f64 x 2) 3))) (+.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) (*.f64 (+.f64 x 2) (-.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 2)) |
(/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2)))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3))) (/.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3))))) |
(/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x (+.f64 x 2))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)))) (/.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (*.f64 x (+.f64 x 2)))) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (-.f64 -2 x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) 1) (*.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))) (-.f64 (pow.f64 (+.f64 x 1) 3) -1))) |
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) 1) (*.f64 (+.f64 x 2) (+.f64 1 (pow.f64 (+.f64 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 x 1) 3) 3)) (*.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) (-.f64 1 (*.f64 -1 (pow.f64 (+.f64 x 1) 3)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 2) 3) 1) (*.f64 (+.f64 x 2) (+.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (pow.f64 (+.f64 x 1) 2))))) |
(/.f64 (*.f64 (+.f64 x 2) (neg.f64 x)) (neg.f64 (+.f64 x 2))) |
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))) |
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (+.f64 x 1) 2))) (-.f64 -2 x)) |
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))) |
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (+.f64 x 2)))) (sqrt.f64 (+.f64 x 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))) (cbrt.f64 (+.f64 x 2))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) 1) (-.f64 -2 x)) |
(/.f64 (*.f64 (*.f64 (+.f64 x 2) (neg.f64 x)) 1) (neg.f64 (+.f64 x 2))) |
(/.f64 (*.f64 (+.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) 3))) 1) (neg.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3))) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x 2))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (+.f64 x 2))) |
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) 1) (/.f64 1 (+.f64 x 2))) (+.f64 1 (pow.f64 (+.f64 x 1) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 2) 3) 1) (/.f64 1 (+.f64 x 2))) (+.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (pow.f64 (+.f64 x 1) 2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) 1) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))) (-.f64 (pow.f64 (+.f64 x 1) 3) -1)) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 x 1) 3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) (-.f64 1 (*.f64 -1 (pow.f64 (+.f64 x 1) 3))))) |
(/.f64 (/.f64 (*.f64 x (+.f64 x 2)) 1) (+.f64 x 2)) |
(/.f64 (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))) |
(/.f64 (/.f64 (*.f64 x (+.f64 x 2)) (*.f64 (cbrt.f64 (+.f64 x 2)) (cbrt.f64 (+.f64 x 2)))) (cbrt.f64 (+.f64 x 2))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))) |
(pow.f64 x 1) |
(pow.f64 (sqrt.f64 x) 2) |
(pow.f64 (cbrt.f64 x) 3) |
(pow.f64 (pow.f64 x 3) 1/3) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(pow.f64 (exp.f64 1) (log.f64 x)) |
(neg.f64 (/.f64 (*.f64 x (+.f64 x 2)) (neg.f64 (+.f64 x 2)))) |
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (neg.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2)))))) |
(sqrt.f64 (*.f64 x x)) |
(log.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 x))) |
(cbrt.f64 (pow.f64 x 3)) |
(expm1.f64 (log1p.f64 x)) |
(exp.f64 (log.f64 x)) |
(log1p.f64 (expm1.f64 x)) |
(fma.f64 1 (+.f64 x 1) -1) |
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1) |
(+.f64 (*.f64 x (log.f64 x)) (*.f64 (log.f64 x) -1/2)) |
(+.f64 (*.f64 (log.f64 x) -1/2) (*.f64 x (log.f64 x))) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)))) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x))) (*.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x)))) |
(+.f64 (*.f64 (+.f64 x -1/2) 0) (*.f64 (log.f64 x) (+.f64 x -1/2))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 x -1/2)) (*.f64 (log.f64 (cbrt.f64 x)) (+.f64 x -1/2))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 x)) (+.f64 x -1/2)) (*.f64 (log.f64 (sqrt.f64 x)) (+.f64 x -1/2))) |
(+.f64 (*.f64 0 (+.f64 x -1/2)) (*.f64 (log.f64 x) (+.f64 x -1/2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)))) 1) |
(/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) |
(/.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x 1/2) (log.f64 x))) |
(/.f64 (+.f64 -1/8 (pow.f64 x 3)) (/.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))) (log.f64 x))) |
(/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (+.f64 x 1/2)) |
(/.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 (pow.f64 (log.f64 x) 2) 1/4)) (*.f64 (log.f64 x) (+.f64 x 1/2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (*.f64 (log.f64 x) -1/2) 3)) (+.f64 (*.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 (*.f64 (log.f64 x) -1/2) (-.f64 (*.f64 (log.f64 x) -1/2) (*.f64 x (log.f64 x)))))) |
(/.f64 (*.f64 (log.f64 x) (-.f64 1/4 (*.f64 x x))) (-.f64 -1/2 x)) |
(/.f64 (*.f64 (log.f64 x) (neg.f64 (fma.f64 x x -1/4))) (+.f64 (neg.f64 x) -1/2)) |
(/.f64 (*.f64 (log.f64 x) (+.f64 1/8 (neg.f64 (pow.f64 x 3)))) (neg.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(/.f64 (*.f64 1 (*.f64 (log.f64 x) (fma.f64 x x -1/4))) (+.f64 x 1/2)) |
(/.f64 (*.f64 1 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3)))) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 (pow.f64 (log.f64 x) 2) 1/4))) (*.f64 (log.f64 x) (+.f64 x 1/2))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (*.f64 (log.f64 x) -1/2) 3))) (+.f64 (*.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 (*.f64 (log.f64 x) -1/2) (-.f64 (*.f64 (log.f64 x) -1/2) (*.f64 x (log.f64 x)))))) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (fma.f64 x x -1/4))) (sqrt.f64 (+.f64 x 1/2))) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 -1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (fma.f64 x x -1/4))) (cbrt.f64 (+.f64 x 1/2))) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 x x)) (log.f64 x)) (-.f64 -1/2 x)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -1/4)) (log.f64 x)) (+.f64 (neg.f64 x) -1/2)) |
(/.f64 (*.f64 (+.f64 1/8 (neg.f64 (pow.f64 x 3))) (log.f64 x)) (neg.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) 1) (+.f64 x 1/2)) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) 1) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 (pow.f64 (log.f64 x) 2) 1/4)) 1) (*.f64 (log.f64 x) (+.f64 x 1/2))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (*.f64 (log.f64 x) -1/2) 3)) 1) (+.f64 (*.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 (*.f64 (log.f64 x) -1/2) (-.f64 (*.f64 (log.f64 x) -1/2) (*.f64 x (log.f64 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3))) (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2)))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1/4)) (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2)))) (sqrt.f64 (+.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) 1) (+.f64 x 1/2)) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (sqrt.f64 (+.f64 x 1/2))) (sqrt.f64 (+.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (*.f64 (cbrt.f64 (+.f64 x 1/2)) (cbrt.f64 (+.f64 x 1/2)))) (cbrt.f64 (+.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) 1) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) 3) |
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2)) |
(log.f64 (pow.f64 x (+.f64 x -1/2))) |
(log.f64 (+.f64 1 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1))) |
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/2) 3) (pow.f64 (log.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)))) |
(exp.f64 (log.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)))) |
(log1p.f64 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1)) |
(fma.f64 x (log.f64 x) (*.f64 (log.f64 x) -1/2)) |
(fma.f64 (log.f64 x) x (*.f64 (log.f64 x) -1/2)) |
| Outputs |
|---|
1 |
(+.f64 1 x) |
(+.f64 1 x) |
(+.f64 1 x) |
x |
(+.f64 1 x) |
(+.f64 1 x) |
(+.f64 1 x) |
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(*.f64 -1 (pow.f64 (/.f64 -1 x) -1)) |
(+.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)) |
(+.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)) |
(fma.f64 (pow.f64 (/.f64 -1 x) -1) -1 (/.f64 (pow.f64 (/.f64 -1 x) -1) (/.f64 x -1))) |
(+.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)) |
(+.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)) |
(fma.f64 (pow.f64 (/.f64 -1 x) -1) -1 (/.f64 (pow.f64 (/.f64 -1 x) -1) (/.f64 x -1))) |
(+.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)) |
(+.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)) |
(fma.f64 (pow.f64 (/.f64 -1 x) -1) -1 (/.f64 (pow.f64 (/.f64 -1 x) -1) (/.f64 x -1))) |
x |
x |
x |
x |
(-.f64 (pow.f64 (/.f64 1 x) -1) 1) |
(+.f64 x -1) |
(pow.f64 (/.f64 1 x) -1) |
x |
(pow.f64 (/.f64 1 x) -1) |
x |
(pow.f64 (/.f64 1 x) -1) |
x |
(-.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) 1) |
(expm1.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(fma.f64 (pow.f64 (/.f64 -1 x) -1) -1 -1) |
(-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)) 1) |
(+.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (-.f64 (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) 1)) |
(+.f64 -1 (fma.f64 (pow.f64 (/.f64 -1 x) -1) -1 (/.f64 (pow.f64 (/.f64 -1 x) -1) (/.f64 x -1)))) |
(-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)) 1) |
(+.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (-.f64 (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) 1)) |
(+.f64 -1 (fma.f64 (pow.f64 (/.f64 -1 x) -1) -1 (/.f64 (pow.f64 (/.f64 -1 x) -1) (/.f64 x -1)))) |
(-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)) 1) |
(+.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (-.f64 (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) 1)) |
(+.f64 -1 (fma.f64 (pow.f64 (/.f64 -1 x) -1) -1 (/.f64 (pow.f64 (/.f64 -1 x) -1) (/.f64 x -1)))) |
(*.f64 -1/2 (log.f64 x)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x)) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x)) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x)) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(neg.f64 (*.f64 x (neg.f64 (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(fma.f64 -1 (*.f64 x (neg.f64 (log.f64 x))) (*.f64 (neg.f64 (log.f64 x)) 1/2)) |
(fma.f64 (neg.f64 (log.f64 x)) 1/2 (*.f64 x (log.f64 x))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(fma.f64 -1 (*.f64 x (neg.f64 (log.f64 x))) (*.f64 (neg.f64 (log.f64 x)) 1/2)) |
(fma.f64 (neg.f64 (log.f64 x)) 1/2 (*.f64 x (log.f64 x))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(fma.f64 -1 (*.f64 x (neg.f64 (log.f64 x))) (*.f64 (neg.f64 (log.f64 x)) 1/2)) |
(fma.f64 (neg.f64 (log.f64 x)) 1/2 (*.f64 x (log.f64 x))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1/2)) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 x -1/2)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1/2)) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 x -1/2)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1/2)) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 x -1/2)) |
(+.f64 x 1) |
(+.f64 1 x) |
(+.f64 1 x) |
(+.f64 (+.f64 x 2) -1) |
(+.f64 1 x) |
(+.f64 0 (+.f64 x 1)) |
(+.f64 1 x) |
(-.f64 (+.f64 x 1) 0) |
(+.f64 1 x) |
(-.f64 (+.f64 x 2) 1) |
(+.f64 1 x) |
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))) (/.f64 1 (+.f64 x 2))) |
(+.f64 1 (-.f64 (/.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (/.f64 -1 (+.f64 x 2)))) |
(*.f64 (+.f64 x 1) 1) |
(+.f64 1 x) |
(*.f64 -1 (+.f64 -1 (neg.f64 x))) |
(+.f64 1 x) |
(*.f64 1 (+.f64 x 1)) |
(+.f64 1 x) |
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) |
(+.f64 1 x) |
(*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (*.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 1 x) |
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(+.f64 1 x) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1))) |
(+.f64 1 x) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (neg.f64 (*.f64 -1 (cbrt.f64 (+.f64 x 1))))) |
(+.f64 1 x) |
(*.f64 (+.f64 -1 (neg.f64 x)) -1) |
(+.f64 1 x) |
(*.f64 (sqrt.f64 (+.f64 -1 (neg.f64 x))) (neg.f64 (sqrt.f64 (+.f64 -1 (neg.f64 x))))) |
(+.f64 1 x) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 -1 (neg.f64 x))) (cbrt.f64 (+.f64 -1 (neg.f64 x)))) (neg.f64 (cbrt.f64 (+.f64 -1 (neg.f64 x))))) |
(+.f64 1 x) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (*.f64 -1 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 1 x) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (*.f64 -1 (cbrt.f64 (+.f64 x 1)))) |
(+.f64 1 x) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (neg.f64 x)))) (sqrt.f64 (+.f64 -1 (neg.f64 x)))) |
(+.f64 1 x) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 -1 (neg.f64 x))) (cbrt.f64 (+.f64 -1 (neg.f64 x))))) (cbrt.f64 (+.f64 -1 (neg.f64 x)))) |
(+.f64 1 x) |
(/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)) |
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x))) |
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (*.f64 x (+.f64 x -1)))) |
(/.f64 (*.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) |
(/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x))) |
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x))) |
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (*.f64 x (+.f64 x -1)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1) (-.f64 1 x)) |
(/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (+.f64 1 (-.f64 (*.f64 x x) x))) |
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x))) |
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (*.f64 x (+.f64 x -1)))) |
(pow.f64 (+.f64 x 1) 1) |
(+.f64 1 x) |
(pow.f64 (sqrt.f64 (+.f64 x 1)) 2) |
(+.f64 1 x) |
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3) |
(+.f64 1 x) |
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/3) |
(+.f64 1 x) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x))) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))) |
(pow.f64 (exp.f64 1) (log1p.f64 x)) |
(pow.f64 (E.f64) (log1p.f64 x)) |
(neg.f64 (+.f64 -1 (neg.f64 x))) |
(+.f64 1 x) |
(sqrt.f64 (pow.f64 (+.f64 x 1) 2)) |
(sqrt.f64 (pow.f64 (+.f64 1 x) 2)) |
(fabs.f64 (+.f64 1 x)) |
(log.f64 (exp.f64 (+.f64 x 1))) |
(+.f64 1 x) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1)))) |
(+.f64 1 x) |
(cbrt.f64 (pow.f64 (+.f64 x 1) 3)) |
(+.f64 1 x) |
(expm1.f64 (log.f64 (+.f64 x 2))) |
(log1p.f64 (expm1.f64 (+.f64 x 1))) |
(+.f64 1 x) |
(-.f64 (+.f64 x 1) 1) |
x |
(-.f64 (+.f64 x 2) 2) |
x |
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (/.f64 1 (+.f64 x 2))) |
(-.f64 (/.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (/.f64 1 (+.f64 x 2))) |
(+.f64 (/.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (/.f64 -1 (+.f64 x 2))) |
(-.f64 (+.f64 -1 (+.f64 x 2)) 1) |
x |
(*.f64 x 1) |
x |
(*.f64 1 x) |
x |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
x |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) |
x |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) |
x |
(*.f64 (*.f64 x (+.f64 x 2)) (/.f64 1 (+.f64 x 2))) |
x |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) 1) (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 x 2) 1)) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
x |
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
x |
(*.f64 (/.f64 1 (+.f64 x 2)) (*.f64 x (+.f64 x 2))) |
x |
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) 1) (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 x 2) 1)) |
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (*.f64 x (+.f64 x 2))) x) |
x |
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (-.f64 (pow.f64 (+.f64 x 1) 3) -1)) (+.f64 1 (+.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (+.f64 (+.f64 1 x) (*.f64 x x))) (+.f64 (pow.f64 (+.f64 1 x) 3) 1)) |
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) x 1))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (-.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) (*.f64 (+.f64 x 2) (+.f64 x 2)))) (-.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 1))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (-.f64 (*.f64 (+.f64 1 x) (pow.f64 (+.f64 1 x) 3)) (*.f64 (+.f64 x 2) (+.f64 x 2)))) (-.f64 (*.f64 x (+.f64 x 2)) (+.f64 1 x))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) 4) (*.f64 (+.f64 x 2) (-.f64 -2 x)))) (+.f64 (fma.f64 x x x) -1)) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) 4) (*.f64 (+.f64 x 2) (-.f64 -2 x)))) (+.f64 -1 (fma.f64 x x x))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 2) 3) (pow.f64 (+.f64 x 2) 3))) (+.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) (*.f64 (+.f64 x 2) (-.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 2) 3) (pow.f64 (+.f64 x 2) 3))) (fma.f64 (+.f64 1 x) (pow.f64 (+.f64 1 x) 3) (*.f64 (+.f64 x 2) (+.f64 x (-.f64 2 (pow.f64 (+.f64 1 x) 2)))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (/.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 1 x) 6)) (fma.f64 (+.f64 x 2) (-.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2)) (pow.f64 (+.f64 1 x) 4)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (/.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 1 x) 6)) (fma.f64 (+.f64 x 2) (+.f64 2 (-.f64 x (pow.f64 (+.f64 1 x) 2))) (pow.f64 (+.f64 1 x) 4)))) |
(/.f64 1 (/.f64 1 x)) |
x |
(/.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 2)) |
x |
(/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) |
x |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2)))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) 1) (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 x 2) 1)) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3))) (/.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3))) (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)))) |
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3))) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3))) (fma.f64 (+.f64 1 x) (+.f64 x 2) 1))) |
(/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x (+.f64 x 2))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)) (sqrt.f64 (*.f64 x (+.f64 x 2)))) |
(*.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)))) (/.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)))) (/.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3))))) |
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3))) (/.f64 (fma.f64 (+.f64 1 x) (+.f64 x 2) 1) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (*.f64 x (+.f64 x 2)))) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2))))) |
(/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (/.f64 (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))) (cbrt.f64 (*.f64 x (+.f64 x 2))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (-.f64 -2 x)) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (-.f64 -2 x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) 1) (*.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))) (-.f64 (pow.f64 (+.f64 x 1) 3) -1))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 6) -1) (*.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))) (+.f64 (pow.f64 (+.f64 1 x) 3) 1))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 6)) (*.f64 (fma.f64 (+.f64 1 x) (+.f64 x 2) 1) (+.f64 1 (pow.f64 (+.f64 1 x) 3)))) |
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) 1) (*.f64 (+.f64 x 2) (+.f64 1 (pow.f64 (+.f64 x 1) 2)))) |
(/.f64 (fma.f64 (+.f64 1 x) (pow.f64 (+.f64 1 x) 3) -1) (*.f64 (+.f64 x 2) (+.f64 1 (pow.f64 (+.f64 1 x) 2)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 4)) (+.f64 x 2)) (+.f64 1 (pow.f64 (+.f64 1 x) 2))) |
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(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 1 x) 3) 3)) (*.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))) (-.f64 (+.f64 (pow.f64 (+.f64 1 x) 6) 1) (neg.f64 (pow.f64 (+.f64 1 x) 3))))) |
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x |
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x |
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x |
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x |
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x |
(pow.f64 (cbrt.f64 x) 3) |
x |
(pow.f64 (pow.f64 x 3) 1/3) |
x |
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x |
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(log1p.f64 (expm1.f64 x)) |
x |
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x |
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x |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1) |
x |
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(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 (pow.f64 (log.f64 x) 2) 1/4))) (*.f64 (log.f64 x) (+.f64 x 1/2))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 1/4 (pow.f64 (log.f64 x) 2))) (*.f64 (log.f64 x) (+.f64 x 1/2))) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) 2) (-.f64 (*.f64 x x) 1/4)) (*.f64 (log.f64 x) (+.f64 x 1/2))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (*.f64 (log.f64 x) -1/2) 3))) (+.f64 (*.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 (*.f64 (log.f64 x) -1/2) (-.f64 (*.f64 (log.f64 x) -1/2) (*.f64 x (log.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (*.f64 (pow.f64 (log.f64 x) 3) -1/8)) (fma.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2) (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 (log.f64 x) -1/2 (neg.f64 (*.f64 x (log.f64 x))))))) |
(/.f64 (fma.f64 (pow.f64 (log.f64 x) 3) -1/8 (pow.f64 (*.f64 x (log.f64 x)) 3)) (fma.f64 x (*.f64 x (pow.f64 (log.f64 x) 2)) (*.f64 (log.f64 x) (*.f64 -1/2 (*.f64 (log.f64 x) (-.f64 -1/2 x)))))) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(/.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (/.f64 (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/8)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/8)) (sqrt.f64 (fma.f64 x (+.f64 x 1/2) 1/4))) (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2)))) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (fma.f64 x x -1/4))) (sqrt.f64 (+.f64 x 1/2))) |
(/.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (/.f64 (sqrt.f64 (+.f64 x 1/2)) (sqrt.f64 (fma.f64 x x -1/4)))) |
(*.f64 (/.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x 1/2))) (sqrt.f64 (fma.f64 x x -1/4))) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 -1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(/.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) (cbrt.f64 (+.f64 (pow.f64 x 3) -1/8)))) |
(/.f64 (log.f64 x) (/.f64 (/.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/2) 1/4)) (cbrt.f64 (+.f64 (pow.f64 x 3) -1/8))) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2))) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (fma.f64 x x -1/4))) (cbrt.f64 (+.f64 x 1/2))) |
(/.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (/.f64 (cbrt.f64 (+.f64 x 1/2)) (cbrt.f64 (fma.f64 x x -1/4)))) |
(/.f64 (log.f64 x) (/.f64 (cbrt.f64 (+.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (cbrt.f64 (fma.f64 x x -1/4))))) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 x x)) (log.f64 x)) (-.f64 -1/2 x)) |
(/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x)))) |
(*.f64 (/.f64 (log.f64 x) (-.f64 -1/2 x)) (neg.f64 (fma.f64 x x -1/4))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -1/4)) (log.f64 x)) (+.f64 (neg.f64 x) -1/2)) |
(/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x)))) |
(*.f64 (/.f64 (log.f64 x) (-.f64 -1/2 x)) (neg.f64 (fma.f64 x x -1/4))) |
(/.f64 (*.f64 (+.f64 1/8 (neg.f64 (pow.f64 x 3))) (log.f64 x)) (neg.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(/.f64 (-.f64 1/8 (pow.f64 x 3)) (/.f64 (+.f64 -1/4 (neg.f64 (*.f64 x (+.f64 x 1/2)))) (log.f64 x))) |
(*.f64 (/.f64 (log.f64 x) (neg.f64 (fma.f64 x (+.f64 x 1/2) 1/4))) (-.f64 1/8 (pow.f64 x 3))) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) 1) (+.f64 x 1/2)) |
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) (log.f64 x)) |
(*.f64 (log.f64 x) (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2))) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) 1) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/8) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) (log.f64 x)) |
(/.f64 (log.f64 x) (/.f64 (fma.f64 x (+.f64 x 1/2) 1/4) (+.f64 (pow.f64 x 3) -1/8))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 (pow.f64 (log.f64 x) 2) 1/4)) 1) (*.f64 (log.f64 x) (+.f64 x 1/2))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 1/4 (pow.f64 (log.f64 x) 2))) (*.f64 (log.f64 x) (+.f64 x 1/2))) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) 2) (-.f64 (*.f64 x x) 1/4)) (*.f64 (log.f64 x) (+.f64 x 1/2))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (*.f64 (log.f64 x) -1/2) 3)) 1) (+.f64 (*.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 (*.f64 (log.f64 x) -1/2) (-.f64 (*.f64 (log.f64 x) -1/2) (*.f64 x (log.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (*.f64 (pow.f64 (log.f64 x) 3) -1/8)) (fma.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2) (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 (log.f64 x) -1/2 (neg.f64 (*.f64 x (log.f64 x))))))) |
(/.f64 (fma.f64 (pow.f64 (log.f64 x) 3) -1/8 (pow.f64 (*.f64 x (log.f64 x)) 3)) (fma.f64 x (*.f64 x (pow.f64 (log.f64 x) 2)) (*.f64 (log.f64 x) (*.f64 -1/2 (*.f64 (log.f64 x) (-.f64 -1/2 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3))) (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2)))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(/.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (/.f64 (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/8)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/8)) (sqrt.f64 (fma.f64 x (+.f64 x 1/2) 1/4))) (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1/4)) (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2)))) (sqrt.f64 (+.f64 x 1/2))) |
(/.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (/.f64 (sqrt.f64 (+.f64 x 1/2)) (sqrt.f64 (fma.f64 x x -1/4)))) |
(*.f64 (/.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x 1/2))) (sqrt.f64 (fma.f64 x x -1/4))) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) 1) (+.f64 x 1/2)) |
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) (log.f64 x)) |
(*.f64 (log.f64 x) (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (sqrt.f64 (+.f64 x 1/2))) (sqrt.f64 (+.f64 x 1/2))) |
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) (log.f64 x)) |
(*.f64 (log.f64 x) (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (*.f64 (cbrt.f64 (+.f64 x 1/2)) (cbrt.f64 (+.f64 x 1/2)))) (cbrt.f64 (+.f64 x 1/2))) |
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) (log.f64 x)) |
(*.f64 (log.f64 x) (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) 1) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/8) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) (log.f64 x)) |
(/.f64 (log.f64 x) (/.f64 (fma.f64 x (+.f64 x 1/2) 1/4) (+.f64 (pow.f64 x 3) -1/8))) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/8) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) (log.f64 x)) |
(/.f64 (log.f64 x) (/.f64 (fma.f64 x (+.f64 x 1/2) 1/4) (+.f64 (pow.f64 x 3) -1/8))) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/8) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) (log.f64 x)) |
(/.f64 (log.f64 x) (/.f64 (fma.f64 x (+.f64 x 1/2) 1/4) (+.f64 (pow.f64 x 3) -1/8))) |
(pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 1) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) 2) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) 3) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) 1/3) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(sqrt.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2)) |
(fabs.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) |
(log.f64 (pow.f64 x (+.f64 x -1/2))) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(log.f64 (+.f64 1 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1))) |
(log1p.f64 (+.f64 (pow.f64 x (+.f64 x -1/2)) -1)) |
(log1p.f64 (+.f64 -1 (pow.f64 x (+.f64 x -1/2)))) |
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3)) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/2) 3) (pow.f64 (log.f64 x) 3))) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)))) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(exp.f64 (log.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)))) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(log1p.f64 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1)) |
(log1p.f64 (+.f64 (pow.f64 x (+.f64 x -1/2)) -1)) |
(log1p.f64 (+.f64 -1 (pow.f64 x (+.f64 x -1/2)))) |
(fma.f64 x (log.f64 x) (*.f64 (log.f64 x) -1/2)) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(fma.f64 (log.f64 x) x (*.f64 (log.f64 x) -1/2)) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
| ✓ | 0.3b | (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) |
| 0.4b | (/.f64 83333333333333/1000000000000000 x) |
Compiled 32 to 22 computations (31.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) |
| 0.0ms | x | @ | 0 | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
| 0.0ms | x | @ | -inf | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
| 1× | batch-egg-rewrite |
| 988× | distribute-rgt-in |
| 962× | distribute-lft-in |
| 616× | associate-/r* |
| 324× | associate-/r/ |
| 288× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 38 |
| 1 | 268 | 38 |
| 2 | 3542 | 38 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (log.f64 x)))) 8106146679533/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 x) 2) (/.f64 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000) 1/4)) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 91893853320467/100000000000000 (exp.f64 (log1p.f64 (*.f64 -1/2 (log.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) (/.f64 1 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3)) (/.f64 1 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 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((x exp.f64 (log.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) -1/2 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 83333333333333/1000000000000000 (/.f64 1 x) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 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91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 x))) 2) (cbrt.f64 (*.f64 -1/2 (log.f64 x))) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) |
| 1× | egg-herbie |
| 1134× | +-commutative |
| 924× | associate-+l+ |
| 918× | associate-+r+ |
| 708× | associate-*r* |
| 536× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 499 | 11239 |
| 1 | 1453 | 10519 |
| 2 | 6036 | 10519 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) |
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) |
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) |
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) |
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(/.f64 83333333333333/1000000000000000 x) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (log.f64 x)))) 8106146679533/100000000000000) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))) 1) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) 2) (/.f64 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000) 1/4)) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))) |
(-.f64 (+.f64 91893853320467/100000000000000 (exp.f64 (log1p.f64 (*.f64 -1/2 (log.f64 x))))) 1) |
(*.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 1) |
(*.f64 1 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) |
(*.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))) |
(*.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))) |
(*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) (/.f64 1 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))) |
(*.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3)) (/.f64 1 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))))) |
(*.f64 (/.f64 1 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)) (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000)) |
(*.f64 (/.f64 1 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))) (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000)) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) (-.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000)) (+.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2)) (*.f64 (log.f64 x) -91893853320467/200000000000000))) |
(*.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) (pow.f64 (*.f64 -1/2 (log.f64 x)) 2)) (*.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (log.f64 x) 91893853320467/200000000000000)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (log.f64 x) 91893853320467/200000000000000))))) (+.f64 (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) (*.f64 (log.f64 x) -91893853320467/200000000000000))) |
(*.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3)) (+.f64 (pow.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) 3) (pow.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (log.f64 x) 91893853320467/200000000000000)) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) (pow.f64 (*.f64 -1/2 (log.f64 x)) 2)) (*.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (log.f64 x) 91893853320467/200000000000000)) (-.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (log.f64 x) 91893853320467/200000000000000)) (pow.f64 (*.f64 -1/2 (log.f64 x)) 2))))) |
(/.f64 1 (/.f64 1 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))) |
(/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)) |
(/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000)) (/.f64 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000) (sqrt.f64 (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000)))) |
(/.f64 (sqrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3))) (/.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))) (sqrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000))) (/.f64 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000) (cbrt.f64 (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3))) (cbrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3)))) (/.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))) (cbrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3))))) |
(/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2)) (-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3) (pow.f64 (*.f64 -1/2 (log.f64 x)) 3)) 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))) (-.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) (pow.f64 (*.f64 -1/2 (log.f64 x)) 2)) 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (*.f64 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2)))) |
(/.f64 (+.f64 467281046507217806034264751695811126233618503392209547027430905113362508381562101393972133232107032425973263562534889855762547/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3) 3)) (*.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3) (pow.f64 (*.f64 -1/2 (log.f64 x)) 3)) (-.f64 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) 3) 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000) (+.f64 (*.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) (pow.f64 (*.f64 -1/2 (log.f64 x)) 2)) (+.f64 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) 8444480278083503881401098089/10000000000000000000000000000))))) |
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(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3)) (*.f64 x 1000000000000000/83333333333333)) (*.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))) 1)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))) (*.f64 x 1000000000000000/83333333333333)) |
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3)) (neg.f64 x)) (*.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))) -83333333333333/1000000000000000)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))) (neg.f64 x)) |
(/.f64 (/.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)) (*.f64 x (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000))) x) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)) |
(/.f64 (/.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))) (*.f64 x (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3)))) x) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))) |
(/.f64 (/.f64 (+.f64 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000) (*.f64 (*.f64 x 1000000000000000/83333333333333) (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000))) (*.f64 x 1000000000000000/83333333333333)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)) |
(/.f64 (/.f64 (+.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))) (*.f64 (*.f64 x 1000000000000000/83333333333333) (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3)))) (*.f64 x 1000000000000000/83333333333333)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))) |
(/.f64 (/.f64 (+.f64 (*.f64 -83333333333333/1000000000000000 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)) (*.f64 (neg.f64 x) (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000))) (neg.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)) |
(/.f64 (/.f64 (+.f64 (*.f64 -83333333333333/1000000000000000 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))) (*.f64 (neg.f64 x) (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3)))) (neg.f64 x)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))) |
(pow.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))) 3) |
(pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 2)) |
(log.f64 (*.f64 (pow.f64 x -1/2) (exp.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))) |
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))) |
(exp.f64 (log.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))) |
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) |
(fma.f64 (log.f64 x) -1/2 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) |
(fma.f64 83333333333333/1000000000000000 (/.f64 1 x) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) |
(fma.f64 1 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) |
(fma.f64 1 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(fma.f64 1 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) |
(fma.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) |
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)) |
(fma.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 x))) (sqrt.f64 (*.f64 -1/2 (log.f64 x))) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) |
(fma.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 x))) 2) (cbrt.f64 (*.f64 -1/2 (log.f64 x))) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) |
| Outputs |
|---|
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) |
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) |
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) |
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) |
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (neg.f64 (log.f64 x)))) |
(fma.f64 1/2 (neg.f64 (log.f64 x)) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (neg.f64 (log.f64 x)))) |
(fma.f64 1/2 (neg.f64 (log.f64 x)) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (neg.f64 (log.f64 x)))) |
(fma.f64 1/2 (neg.f64 (log.f64 x)) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (neg.f64 (log.f64 x)))) |
(fma.f64 1/2 (neg.f64 (log.f64 x)) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 91893853320467/100000000000000) |
(/.f64 83333333333333/1000000000000000 x) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (neg.f64 (log.f64 x)))) |
(fma.f64 1/2 (neg.f64 (log.f64 x)) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 1/2 (neg.f64 (log.f64 x)) (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 1/2 (neg.f64 (log.f64 x)) (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 1/2 (neg.f64 (log.f64 x)) (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 83333333333333/1000000000000000 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (log.f64 x)))) 8106146679533/100000000000000) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (log.f64 x)))) -8106146679533/100000000000000) |
(+.f64 91893853320467/100000000000000 (expm1.f64 (log1p.f64 (*.f64 -1/2 (log.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))) 1) |
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) 2) (/.f64 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000) 1/4)) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))) |
(fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)) 1/4 (/.f64 -8444480278083503881401098089/10000000000000000000000000000 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))) |
(-.f64 (+.f64 91893853320467/100000000000000 (exp.f64 (log1p.f64 (*.f64 -1/2 (log.f64 x))))) 1) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (log.f64 x)))) -8106146679533/100000000000000) |
(+.f64 91893853320467/100000000000000 (expm1.f64 (log1p.f64 (*.f64 -1/2 (log.f64 x))))) |
(*.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 1) |
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) |
(*.f64 1 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) |
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) |
(*.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))) |
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) |
(*.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) 2)) |
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))) |
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) |
(*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) (/.f64 1 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))) |
(/.f64 (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) 1/4) -8444480278083503881401098089/10000000000000000000000000000) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)) |
(*.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3)) (/.f64 1 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))))) |
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(/.f64 (fma.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (*.f64 -1/8 (pow.f64 (log.f64 x) 3))) (neg.f64 x) (+.f64 -703706689840289175289998812915372866300637/10000000000000000000000000000000000000000000 (*.f64 -83333333333333/1000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))))) (*.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))) (neg.f64 x))) |
(/.f64 (-.f64 (+.f64 -703706689840289175289998812915372866300637/10000000000000000000000000000000000000000000 (*.f64 83333333333333/2000000000000000 (*.f64 (log.f64 x) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))) (*.f64 x (fma.f64 -1/8 (pow.f64 (log.f64 x) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000))) (*.f64 x (+.f64 -8444480278083503881401098089/10000000000000000000000000000 (*.f64 1/2 (*.f64 (log.f64 x) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))))) |
(pow.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))) 2) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))) 3) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 3) 1/3) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 2)) |
(fabs.f64 (+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))) |
(log.f64 (*.f64 (pow.f64 x -1/2) (exp.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 3)) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(exp.f64 (log.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))) 1)) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(fma.f64 (log.f64 x) -1/2 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(fma.f64 83333333333333/1000000000000000 (/.f64 1 x) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(fma.f64 1 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(fma.f64 1 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(fma.f64 1 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(fma.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(fma.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 x))) (sqrt.f64 (*.f64 -1/2 (log.f64 x))) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(fma.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 x))) 2) (cbrt.f64 (*.f64 -1/2 (log.f64 x))) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) |
| 0.3b | (*.f64 x (-.f64 (log.f64 x) 1)) | |
| ✓ | 3.6b | (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)) |
| ✓ | 11.8b | (/.f64 (*.f64 z z) x) |
Compiled 67 to 33 computations (50.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) |
| 1.0ms | x | @ | -inf | (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) |
| 1.0ms | z | @ | inf | (/.f64 (*.f64 z z) x) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)) |
| 1.0ms | z | @ | 0 | (/.f64 (*.f64 z z) x) |
| 1× | batch-egg-rewrite |
| 1408× | associate-/l* |
| 1174× | distribute-lft-in |
| 594× | associate-/r/ |
| 388× | add-sqr-sqrt |
| 372× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 57 |
| 1 | 377 | 57 |
| 2 | 5179 | 57 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 z z) x) |
(*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)) |
(+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1160× | associate-*r* |
| 1064× | associate-*l* |
| 766× | associate-/l* |
| 678× | *-commutative |
| 628× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 583 | 10065 |
| 1 | 1746 | 9803 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 z 2) x) |
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(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) 3) 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (fma.f64 x (+.f64 (log.f64 x) -1) -91893853320467/100000000000000) (+.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2)) (+.f64 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) 8444480278083503881401098089/10000000000000000000000000000))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) -8444480278083503881401098089/10000000000000000000000000000)) (neg.f64 (fma.f64 x (+.f64 (log.f64 x) -1) -91893853320467/100000000000000))) |
(/.f64 (neg.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (+.f64 (log.f64 x) -1) (*.f64 x 91893853320467/100000000000000)))))) |
(pow.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) 1) |
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000)) 3) |
(pow.f64 (pow.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) 2)) |
(log.f64 (exp.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000)))) |
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))) |
(exp.f64 (log.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(fma.f64 1 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) |
(fma.f64 (+.f64 (log.f64 x) -1) x 91893853320467/100000000000000) |
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) (sqrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 91893853320467/100000000000000) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 2) (cbrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 91893853320467/100000000000000) |
| Outputs |
|---|
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (pow.f64 z 2) x) |
(*.f64 z (/.f64 z x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) |
(*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z) |
(*.f64 z (*.f64 z (/.f64 7936500793651/10000000000000000 x))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 y (/.f64 (/.f64 x z) z)) |
(*.f64 y (/.f64 (*.f64 z z) x)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 y (/.f64 (/.f64 x z) z)) |
(*.f64 y (/.f64 (*.f64 z z) x)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) |
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (*.f64 z z) x)) |
91893853320467/100000000000000 |
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (log.f64 x) 1) x)) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (log.f64 x) 1) x)) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (log.f64 x) 1) x)) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) |
(*.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) -1)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x) |
(*.f64 x (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1)) |
(*.f64 x (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)) |
(+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1))) |
(+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) |
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)) |
(+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1))) |
(+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) |
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)) |
(+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1))) |
(+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 z x)))) 1) |
(*.f64 z (/.f64 z x)) |
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(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) -8444480278083503881401098089/10000000000000000000000000000)) (/.f64 (fma.f64 x (+.f64 (log.f64 x) -1) -91893853320467/100000000000000) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) -8444480278083503881401098089/10000000000000000000000000000)))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) -8444480278083503881401098089/10000000000000000000000000000)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) -8444480278083503881401098089/10000000000000000000000000000)) (fma.f64 x (+.f64 (log.f64 x) -1) -91893853320467/100000000000000))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3))) (cbrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3)))) (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (+.f64 (log.f64 x) -1) (*.f64 x 91893853320467/100000000000000)))) (cbrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3))) (cbrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3)))) (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (+.f64 (log.f64 x) -1) (*.f64 x 91893853320467/100000000000000))))) (cbrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3)))) |
(*.f64 (cbrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3))) (/.f64 (cbrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3))) (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 x (+.f64 (log.f64 x) -1)) -91893853320467/100000000000000))) (cbrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) -8444480278083503881401098089/10000000000000000000000000000)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) -8444480278083503881401098089/10000000000000000000000000000))) (/.f64 (fma.f64 x (+.f64 (log.f64 x) -1) -91893853320467/100000000000000) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) -8444480278083503881401098089/10000000000000000000000000000)))) |
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) -8444480278083503881401098089/10000000000000000000000000000)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) -8444480278083503881401098089/10000000000000000000000000000)) (/.f64 (fma.f64 x (+.f64 (log.f64 x) -1) -91893853320467/100000000000000) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) -8444480278083503881401098089/10000000000000000000000000000))))) |
(/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2)) (-.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3) (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3)) 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (+.f64 (log.f64 x) -1) (*.f64 x 91893853320467/100000000000000)))) (-.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 6) -602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (+.f64 (log.f64 x) -1) (*.f64 x 91893853320467/100000000000000)))) (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3) -775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 6) -602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 x (+.f64 (log.f64 x) -1)) -91893853320467/100000000000000))) (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3) -775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2)) 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (*.f64 (fma.f64 x (+.f64 (log.f64 x) -1) -91893853320467/100000000000000) (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) 8444480278083503881401098089/10000000000000000000000000000))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 4) -71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (*.f64 (fma.f64 x (+.f64 (log.f64 x) -1) -91893853320467/100000000000000) (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) 8444480278083503881401098089/10000000000000000000000000000))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 4) -71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (fma.f64 x (+.f64 (log.f64 x) -1) -91893853320467/100000000000000)) (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) 8444480278083503881401098089/10000000000000000000000000000)) |
(/.f64 (+.f64 467281046507217806034264751695811126233618503392209547027430905113362508381562101393972133232107032425973263562534889855762547/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (+.f64 (log.f64 x) -1) (*.f64 x 91893853320467/100000000000000)))) (+.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3) (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3)) (-.f64 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000))))) |
(/.f64 (+.f64 467281046507217806034264751695811126233618503392209547027430905113362508381562101393972133232107032425973263562534889855762547/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (+.f64 (log.f64 x) -1) (*.f64 x 91893853320467/100000000000000)))) (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 6) (-.f64 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3)))))) |
(/.f64 (/.f64 (+.f64 467281046507217806034264751695811126233618503392209547027430905113362508381562101393972133232107032425973263562534889855762547/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 x (+.f64 (log.f64 x) -1)) -91893853320467/100000000000000)))) (+.f64 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (+.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3) -775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000) (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 6)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) 3) 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (fma.f64 x (+.f64 (log.f64 x) -1) -91893853320467/100000000000000) (+.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2)) (+.f64 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) 8444480278083503881401098089/10000000000000000000000000000))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) 3) -602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (fma.f64 x (+.f64 (log.f64 x) -1) -91893853320467/100000000000000) (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 4) (+.f64 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) 8444480278083503881401098089/10000000000000000000000000000))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 6) -602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (fma.f64 x (+.f64 (log.f64 x) -1) -91893853320467/100000000000000) (+.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) 8444480278083503881401098089/10000000000000000000000000000) (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 4) 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) -8444480278083503881401098089/10000000000000000000000000000)) (neg.f64 (fma.f64 x (+.f64 (log.f64 x) -1) -91893853320467/100000000000000))) |
(/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2)) (-.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(/.f64 (neg.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (+.f64 (log.f64 x) -1) (*.f64 x 91893853320467/100000000000000)))))) |
(/.f64 (+.f64 -775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (neg.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (+.f64 (log.f64 x) -1) (*.f64 x 91893853320467/100000000000000)))))) |
(/.f64 (-.f64 -775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3)) (-.f64 (+.f64 -8444480278083503881401098089/10000000000000000000000000000 (neg.f64 (*.f64 (*.f64 x (+.f64 (log.f64 x) -1)) -91893853320467/100000000000000))) (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2))) |
(pow.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) 1) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000)) 2) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000)) 3) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(pow.f64 (pow.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) 3) 1/3) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) 2)) |
(fabs.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000)) |
(log.f64 (exp.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000)))) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) 3)) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(exp.f64 (log.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000)) 1)) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(fma.f64 1 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(fma.f64 (+.f64 (log.f64 x) -1) x 91893853320467/100000000000000) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) (sqrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 91893853320467/100000000000000) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 2) (cbrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 91893853320467/100000000000000) |
(fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (-.f64 (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x)))) x) |
| ✓ | 0.2b | (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x)))) |
| 8.6b | (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) | |
| ✓ | 18.2b | (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x))) |
Compiled 154 to 94 computations (39% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x)))) |
| 1.0ms | x | @ | inf | (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x)))) |
| 1.0ms | x | @ | -inf | (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x)))) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x))) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 1412× | associate-/l/ |
| 1192× | distribute-lft-in |
| 318× | add-sqr-sqrt |
| 308× | pow1 |
| 308× | *-un-lft-identity |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 101 |
| 1 | 305 | 53 |
| 2 | 4554 | 53 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x))) |
(/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x)))) |
(-.f64 (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x)))) x) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1208× | associate-+l- |
| 1170× | +-commutative |
| 988× | associate-+r- |
| 896× | fma-def |
| 586× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 507 | 8403 |
| 1 | 1460 | 7567 |
| 2 | 5688 | 7565 |
| 1× | node limit |
| Inputs |
|---|
-2 |
(-.f64 (*.f64 -4 x) 2) |
(-.f64 (+.f64 (*.f64 -4 x) (*.f64 -8 (pow.f64 x 2))) 2) |
(-.f64 (+.f64 (*.f64 -4 x) (+.f64 (*.f64 -16 (pow.f64 x 3)) (*.f64 -8 (pow.f64 x 2)))) 2) |
(/.f64 1 x) |
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)))) |
(/.f64 1 x) |
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
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(+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) (*.f64 1 (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (neg.f64 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) |
(+.f64 (neg.f64 x) (+.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (neg.f64 x) (+.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (neg.f64 x) (+.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (log.f64 x) (+.f64 -1/2 x))) |
(+.f64 (*.f64 (/.f64 (log.f64 x) (-.f64 -1/2 x)) 1/4) (+.f64 (*.f64 (/.f64 (log.f64 x) (-.f64 -1/2 x)) (*.f64 x (neg.f64 x))) (neg.f64 x))) |
(+.f64 (*.f64 (/.f64 (log.f64 x) (-.f64 -1/2 x)) 1/4) (+.f64 (*.f64 (/.f64 (log.f64 x) (-.f64 -1/2 x)) (*.f64 x (neg.f64 x))) (*.f64 (neg.f64 x) 1))) |
(+.f64 (*.f64 (/.f64 (log.f64 x) (-.f64 -1/2 x)) 1/4) (-.f64 (*.f64 (/.f64 (log.f64 x) (-.f64 -1/2 x)) (*.f64 x (neg.f64 x))) x)) |
(+.f64 (*.f64 1/4 (/.f64 (log.f64 x) (-.f64 -1/2 x))) (+.f64 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 (log.f64 x) (-.f64 -1/2 x))) (neg.f64 x))) |
(+.f64 (*.f64 1/4 (/.f64 (log.f64 x) (-.f64 -1/2 x))) (+.f64 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 (log.f64 x) (-.f64 -1/2 x))) (*.f64 (neg.f64 x) 1))) |
(+.f64 (*.f64 1/4 (/.f64 (log.f64 x) (-.f64 -1/2 x))) (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 (log.f64 x) (-.f64 -1/2 x))) x)) |
(+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x))) |
(+.f64 (+.f64 (neg.f64 x) (*.f64 (/.f64 (log.f64 x) (-.f64 -1/2 x)) 1/4)) (*.f64 (/.f64 (log.f64 x) (-.f64 -1/2 x)) (*.f64 x (neg.f64 x)))) |
(+.f64 (+.f64 (neg.f64 x) (*.f64 1/4 (/.f64 (log.f64 x) (-.f64 -1/2 x)))) (*.f64 (*.f64 x (neg.f64 x)) (/.f64 (log.f64 x) (-.f64 -1/2 x)))) |
(+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (exp.f64 (log1p.f64 x))) 1) |
(*.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) 1) |
(*.f64 1 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x))) |
(*.f64 (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x))) (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)))) |
(*.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))))) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))) (sqrt.f64 x))) |
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x x)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))) (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 x 3)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x x)) (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2)) (pow.f64 x 4)) (*.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) (+.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3)) (pow.f64 x 6)) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) 3) (pow.f64 x 6)) (*.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2)) (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x x)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3)) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 x 3)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x x))) (neg.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))))) |
(pow.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x))) 3) |
(pow.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) 2)) |
(log.f64 (/.f64 (pow.f64 x (+.f64 -1/2 x)) (exp.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x))))) |
(cbrt.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)))) |
(exp.f64 (log.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)))) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) |
(fma.f64 1 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))) (sqrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))) (neg.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))) 2) (cbrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))) (neg.f64 x)) |
(fma.f64 (/.f64 (log.f64 x) (-.f64 -1/2 x)) (-.f64 1/4 (*.f64 x x)) (neg.f64 x)) |
| Outputs |
|---|
-2 |
(-.f64 (*.f64 -4 x) 2) |
(fma.f64 -4 x -2) |
(-.f64 (+.f64 (*.f64 -4 x) (*.f64 -8 (pow.f64 x 2))) 2) |
(+.f64 (fma.f64 -4 x (*.f64 -8 (*.f64 x x))) -2) |
(fma.f64 -4 x (fma.f64 -8 (*.f64 x x) -2)) |
(-.f64 (+.f64 (*.f64 -4 x) (+.f64 (*.f64 -16 (pow.f64 x 3)) (*.f64 -8 (pow.f64 x 2)))) 2) |
(+.f64 (fma.f64 -4 x (fma.f64 -16 (pow.f64 x 3) (*.f64 -8 (*.f64 x x)))) -2) |
(+.f64 (fma.f64 -8 (*.f64 x x) (*.f64 -16 (pow.f64 x 3))) (fma.f64 -4 x -2)) |
(+.f64 (fma.f64 -4 x -2) (fma.f64 -8 (*.f64 x x) (*.f64 -16 (pow.f64 x 3)))) |
(/.f64 1 x) |
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) |
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)))) |
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/8 (pow.f64 x 4))))) |
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) (/.f64 1/8 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/8 (pow.f64 x 4))))) |
(/.f64 1 x) |
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) |
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)))) |
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/8 (pow.f64 x 4))))) |
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) (/.f64 1/8 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/8 (pow.f64 x 4))))) |
(*.f64 -1/2 (log.f64 x)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x)) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x)) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x)) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 (neg.f64 (neg.f64 (log.f64 x))) x) |
(*.f64 x (log.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) |
(*.f64 (log.f64 x) (+.f64 x -1/2)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 x -1/2)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 x -1/2)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 x -1/2)) |
(*.f64 -1/2 (log.f64 x)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) |
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(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x x)) (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (fma.f64 (log.f64 x) (+.f64 x -1/2) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (neg.f64 x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (fma.f64 (log.f64 x) (+.f64 x -1/2) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2)) (pow.f64 x 4)) (*.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) (+.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 4) (pow.f64 x 4)) (*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (fma.f64 x x (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 4) (pow.f64 x 4)) (fma.f64 (log.f64 x) (+.f64 x -1/2) x)) (fma.f64 x x (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3)) (pow.f64 x 6)) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 6) (pow.f64 x 6)) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 6) (pow.f64 x 6)) (fma.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (neg.f64 x))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) 3) (pow.f64 x 6)) (*.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2)) (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x x)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) 3) (pow.f64 x 6)) (fma.f64 (log.f64 x) (+.f64 x -1/2) x)) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 4) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 6) (pow.f64 x 6)) (*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 4) (fma.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (pow.f64 x 4))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3)) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 x 3)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 6) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (fma.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2)) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 6) (fma.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 6))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x x))) (neg.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x))) (neg.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2)) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))))) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2)))) |
(pow.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) 1) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) |
(pow.f64 (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x))) 2) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) |
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x))) 3) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) |
(pow.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) 3) 1/3) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) |
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) 2)) |
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) |
(fabs.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) |
(log.f64 (/.f64 (pow.f64 x (+.f64 -1/2 x)) (exp.f64 x))) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x))))) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) |
(cbrt.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) 3)) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) |
(expm1.f64 (log1p.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)))) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) |
(exp.f64 (log.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)))) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x))) 1)) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) |
(log1p.f64 (expm1.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)))) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) |
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) |
(fma.f64 1 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (neg.f64 x)) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) |
(fma.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))) (sqrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))) (neg.f64 x)) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))) 2) (cbrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))) (neg.f64 x)) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) |
(fma.f64 (/.f64 (log.f64 x) (-.f64 -1/2 x)) (-.f64 1/4 (*.f64 x x)) (neg.f64 x)) |
(fma.f64 (fma.f64 x (neg.f64 x) 1/4) (/.f64 (log.f64 x) (-.f64 -1/2 x)) (neg.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) | |
| 0.2b | (*.f64 (-.f64 x 1/2) (log.f64 x)) | |
| 0.4b | (/.f64 83333333333333/1000000000000000 x) | |
| ✓ | 0.5b | (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) |
Compiled 67 to 45 computations (32.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) |
| 1.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) |
| 1× | batch-egg-rewrite |
| 1500× | add-sqr-sqrt |
| 1464× | *-un-lft-identity |
| 1380× | add-cube-cbrt |
| 1370× | add-cbrt-cube |
| 1356× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 7 |
| 1 | 190 | 7 |
| 2 | 1928 | 7 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 83333333333333/1000000000000000 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 83333333333333/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/4) (*.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/4) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/4)) (pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x))) (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 83333333333333/1000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 83333333333333/1000000000000000 (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x 1000000000000000/83333333333333))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x 1000000000000000/83333333333333) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -83333333333333/1000000000000000 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 83333333333333/1000000000000000)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 83333333333333/1000000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 x 1000000000000000/83333333333333)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x))))))) |
| 1× | egg-herbie |
| 1278× | associate--l- |
| 846× | associate-/l/ |
| 818× | distribute-lft-neg-in |
| 690× | distribute-rgt-neg-in |
| 594× | *-commutative |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 648 |
| 1 | 152 | 498 |
| 2 | 378 | 348 |
| 3 | 1592 | 342 |
| 4 | 5935 | 342 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(*.f64 83333333333333/1000000000000000 (/.f64 1 x)) |
(*.f64 (/.f64 83333333333333/1000000000000000 x) 1) |
(*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) |
(*.f64 1 (/.f64 83333333333333/1000000000000000 x)) |
(*.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/4) (*.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/4) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x))) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/4)) (pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/4)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x))) (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 83333333333333/1000000000000000 (neg.f64 (neg.f64 x))) |
(/.f64 1 (*.f64 x 1000000000000000/83333333333333)) |
(/.f64 1 (/.f64 (*.f64 x 1000000000000000/83333333333333) 1)) |
(/.f64 -83333333333333/1000000000000000 (neg.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 83333333333333/1000000000000000)) (sqrt.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 83333333333333/1000000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 -1 (neg.f64 (*.f64 x 1000000000000000/83333333333333))) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x))) |
(cbrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x))) |
(exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 83333333333333/1000000000000000 (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 83333333333333/1000000000000000 x) 1) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 1 (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/4) (*.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/4) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))) |
(*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) (*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x))) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/4)) (pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/4)) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x))) (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))) |
(*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) (*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(/.f64 83333333333333/1000000000000000 x) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 (neg.f64 (neg.f64 x))) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 1 (*.f64 x 1000000000000000/83333333333333)) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 1 (/.f64 (*.f64 x 1000000000000000/83333333333333) 1)) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 -83333333333333/1000000000000000 (neg.f64 x)) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 83333333333333/1000000000000000)) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 x)) (sqrt.f64 83333333333333/1000000000000000)) |
(*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 x)) (sqrt.f64 83333333333333/1000000000000000)) |
(*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 x))) |
(/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 (/.f64 83333333333333/1000000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 -1 (neg.f64 (*.f64 x 1000000000000000/83333333333333))) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(fabs.f64 (/.f64 -83333333333333/1000000000000000 x)) |
(log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(cbrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3)) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(exp.f64 (*.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)) 1)) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
(log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) 1)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0) |
(/.f64 83333333333333/1000000000000000 x) |
Compiled 50917 to 33527 computations (34.2% saved)
39 alts after pruning (37 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1608 | 17 | 1625 |
| Fresh | 13 | 20 | 33 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 1625 | 39 | 1664 |
| Status | Error | Program |
|---|---|---|
| ▶ | 44.1b | (/.f64 83333333333333/1000000000000000 x) |
| 15.4b | (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)) | |
| 26.8b | (+.f64 (+.f64 (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (/.f64 (+.f64 (log.f64 x) 1) x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) | |
| 9.3b | (+.f64 (+.f64 (-.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 x -1/2)) (log.f64 x)) -1) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 15.5b | (+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 15.8b | (+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 23.0b | (+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (/.f64 (-.f64 1/4 (*.f64 x x)) (-.f64 1/2 x))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 32.6b | (+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 9.3b | (+.f64 (+.f64 (-.f64 (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) x) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 23.0b | (+.f64 (+.f64 (-.f64 (*.f64 (/.f64 1 (-.f64 -1/2 x)) (*.f64 (log.f64 x) (-.f64 1/4 (*.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 15.4b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x))) | |
| 15.4b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))) | |
| 30.2b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) | |
| 15.3b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (*.f64 x 1000000000000000/83333333333333))) | |
| ✓ | 15.4b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
| ▶ | 9.3b | (+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (*.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| 9.3b | (+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (/.f64 1 (neg.f64 x)))) | |
| 15.3b | (+.f64 (+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (+.f64 (exp.f64 (log1p.f64 x)) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 16.5b | (+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 44.6b | (+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 15.2b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)) | |
| 10.5b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)) | |
| 16.5b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) | |
| 15.2b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) | |
| 28.7b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) x)) | |
| 28.0b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) | |
| 21.0b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 z (/.f64 (/.f64 x (+.f64 7936500793651/10000000000000000 y)) z))) | |
| ▶ | 26.2b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 y (/.f64 (/.f64 x z) z))) |
| 16.5b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 19.8b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x)))) | |
| 27.9b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z)) | |
| ▶ | 44.7b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)) |
| ▶ | 35.1b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| ✓ | 44.6b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
| 44.6b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) | |
| 27.3b | (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) | |
| 15.2b | (+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) (expm1.f64 (log1p.f64 x))))) | |
| 15.3b | (+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) | |
| 51.5b | (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
Compiled 1618 to 1216 computations (24.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (+.f64 x -1/2) (*.f64 3 (log.f64 (cbrt.f64 x)))) |
| ✓ | 0.2b | (*.f64 3 (log.f64 (cbrt.f64 x))) |
| ✓ | 0.5b | (cbrt.f64 x) |
| 8.6b | (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) |
Compiled 133 to 85 computations (36.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (cbrt.f64 x) |
| 1.0ms | x | @ | -inf | (*.f64 3 (log.f64 (cbrt.f64 x))) |
| 1.0ms | x | @ | 0 | (*.f64 3 (log.f64 (cbrt.f64 x))) |
| 1.0ms | x | @ | -inf | (*.f64 (+.f64 x -1/2) (*.f64 3 (log.f64 (cbrt.f64 x)))) |
| 1.0ms | x | @ | 0 | (*.f64 (+.f64 x -1/2) (*.f64 3 (log.f64 (cbrt.f64 x)))) |
| 1× | batch-egg-rewrite |
| 958× | *-commutative |
| 686× | unswap-sqr |
| 578× | swap-sqr |
| 548× | associate-*r/ |
| 536× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 47 |
| 1 | 224 | 27 |
| 2 | 2699 | 27 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 x) |
(*.f64 3 (log.f64 (cbrt.f64 x))) |
(*.f64 (+.f64 x -1/2) (*.f64 3 (log.f64 (cbrt.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 x) 1/6) (pow.f64 (sqrt.f64 x) 1/6)) (*.f64 (pow.f64 (sqrt.f64 x) 1/6) (pow.f64 (sqrt.f64 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/6)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 x 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) (*.f64 (cbrt.f64 (pow.f64 x 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (cbrt.f64 x)))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (pow.f64 x 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (pow.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 (cbrt.f64 x)) 2)) (pow.f64 (exp.f64 1) (/.f64 (log.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (/.f64 (sqrt.f64 (log.f64 (cbrt.f64 x))) 2)) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (/.f64 (sqrt.f64 (log.f64 (cbrt.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (/.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (/.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 x)) (log.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (pow.f64 x 1/6))) (log.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) 0) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) (log.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (log.f64 (pow.f64 x 1/6))) (*.f64 3 (log.f64 (pow.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) (*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 x))) (*.f64 1 (log.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 x 1/6)) 3) (*.f64 (log.f64 (pow.f64 x 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) 3) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) 1) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 x)) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 x) 2)) (-.f64 0 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (log.f64 (cbrt.f64 x)) 2)) (-.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x))) (*.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 x 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) -1/2) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) 0) (log.f64 (pow.f64 x (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (log.f64 (cbrt.f64 x)) (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x))) (*.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 x (log.f64 x))) (*.f64 1 (*.f64 (log.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (log.f64 x) -1/2)) (*.f64 1 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 3 x) -3/2) (log.f64 (pow.f64 x 1/6))) (*.f64 (+.f64 (*.f64 3 x) -3/2) (log.f64 (pow.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 3 x) -3/2) 0) (log.f64 (pow.f64 x (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 3 x) -3/2) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) (*.f64 (+.f64 (*.f64 3 x) -3/2) (log.f64 (cbrt.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (+.f64 x -1/2)) (log.f64 (pow.f64 x (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 x -1/2)) (*.f64 (log.f64 (cbrt.f64 x)) (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 x)) (+.f64 x -1/2)) (*.f64 (log.f64 (sqrt.f64 x)) (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (log.f64 x)) 1) (*.f64 (*.f64 (log.f64 x) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 x) -1/2) 1) (*.f64 (*.f64 x (log.f64 x)) 1))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (cbrt.f64 x)) (*.f64 3 (fma.f64 x x -1/4))) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (cbrt.f64 x)) (*.f64 3 (+.f64 -1/8 (pow.f64 x 3)))) (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (-.f64 1/4 (*.f64 x x))) (-.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (neg.f64 (fma.f64 x x -1/4))) (+.f64 (neg.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (neg.f64 (+.f64 -1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (log.f64 x) (fma.f64 x x -1/4))) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (log.f64 x) (+.f64 -1/8 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-1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 -1/8 (pow.f64 x 3))) (log.f64 x)) (neg.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) 1) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) 1) (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3))) (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2)))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1/4)) (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2)))) (sqrt.f64 (+.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (fma.f64 x x -1/4)) (log.f64 (cbrt.f64 x))) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (+.f64 -1/8 (pow.f64 x 3))) (log.f64 (cbrt.f64 x))) (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) 1) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (sqrt.f64 (+.f64 x 1/2))) (sqrt.f64 (+.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (*.f64 (cbrt.f64 (+.f64 x 1/2)) (cbrt.f64 (+.f64 x 1/2)))) (cbrt.f64 (+.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) 1) (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (*.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (log.f64 x) -1/2))) (-.f64 (*.f64 x (log.f64 x)) (*.f64 (log.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (log.f64 x) -1/2)) (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x)))) (-.f64 (*.f64 (log.f64 x) -1/2) (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (+.f64 x -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1)))))) |
| 1× | egg-herbie |
| 544× | associate-*r* |
| 506× | associate-*l* |
| 492× | associate-/l* |
| 318× | *-commutative |
| 276× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 335 | 660 |
| 1 | 891 | 660 |
| 2 | 5498 | 660 |
| 1× | unsound |
| Inputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1) |
(*.f64 (cbrt.f64 x) 1) |
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) |
(*.f64 1 (cbrt.f64 x)) |
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6)) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/6))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 x)) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 x) 1/6) (pow.f64 (sqrt.f64 x) 1/6)) (*.f64 (pow.f64 (sqrt.f64 x) 1/6) (pow.f64 (sqrt.f64 x) 1/6))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/6)) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) (*.f64 (cbrt.f64 (pow.f64 x 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (cbrt.f64 x)))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (cbrt.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (pow.f64 x 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (pow.f64 x 1/6)))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3/2)) |
(*.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 (cbrt.f64 x)) 2)) (pow.f64 (exp.f64 1) (/.f64 (log.f64 (cbrt.f64 x)) 2))) |
(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (/.f64 (sqrt.f64 (log.f64 (cbrt.f64 x))) 2)) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (/.f64 (sqrt.f64 (log.f64 (cbrt.f64 x))) 2))) |
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (/.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (/.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2))) |
(pow.f64 x 1/3) |
(pow.f64 (cbrt.f64 x) 1) |
(pow.f64 (sqrt.f64 x) 2/3) |
(pow.f64 (pow.f64 x 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) |
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 x))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 x)))) |
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) |
(log.f64 (exp.f64 (cbrt.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x)))) |
(expm1.f64 (log1p.f64 (cbrt.f64 x))) |
(exp.f64 (log.f64 (cbrt.f64 x))) |
(log1p.f64 (expm1.f64 (cbrt.f64 x))) |
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (pow.f64 (cbrt.f64 x) 2))) |
(+.f64 (log.f64 x) 0) |
(+.f64 0 (log.f64 x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (cbrt.f64 x))) |
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x))) |
(+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (pow.f64 x 1/6))) (log.f64 (pow.f64 x 1/6))) |
(+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) 0) (log.f64 (cbrt.f64 x))) |
(+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) (log.f64 (cbrt.f64 (cbrt.f64 x)))) |
(+.f64 (*.f64 3 (log.f64 (pow.f64 x 1/6))) (*.f64 3 (log.f64 (pow.f64 x 1/6)))) |
(+.f64 (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) (*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 x))))) |
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x))) |
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 x))) (*.f64 1 (log.f64 (sqrt.f64 x)))) |
(+.f64 (*.f64 (log.f64 (pow.f64 x 1/6)) 3) (*.f64 (log.f64 (pow.f64 x 1/6)) 3)) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) 3) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3)) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) 1) (log.f64 (cbrt.f64 x))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 x)) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 x))) 1) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 x)))) 1) |
(-.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 x))))) 1) |
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 2)) (-.f64 0 (log.f64 x))) |
(/.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (log.f64 (cbrt.f64 x)) 2)) (-.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (cbrt.f64 x)))) |
(/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x))) (*.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))) |
(pow.f64 (log.f64 x) 1) |
(pow.f64 (sqrt.f64 (log.f64 x)) 2) |
(pow.f64 (cbrt.f64 (log.f64 x)) 3) |
(pow.f64 (pow.f64 (log.f64 x) 3) 1/3) |
(sqrt.f64 (pow.f64 (log.f64 x) 2)) |
(log.f64 x) |
(log.f64 (+.f64 1 (-.f64 x 1))) |
(cbrt.f64 (pow.f64 (log.f64 x) 3)) |
(expm1.f64 (log1p.f64 (log.f64 x))) |
(exp.f64 (log.f64 (log.f64 x))) |
(log1p.f64 (-.f64 x 1)) |
(+.f64 (*.f64 x (log.f64 x)) (*.f64 (log.f64 x) -1/2)) |
(+.f64 (*.f64 (log.f64 x) -1/2) (*.f64 x (log.f64 x))) |
(+.f64 (*.f64 (+.f64 x -1/2) 0) (log.f64 (pow.f64 x (+.f64 x -1/2)))) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (log.f64 (cbrt.f64 x)) (+.f64 x -1/2))) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x))) (*.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x)))) |
(+.f64 (*.f64 1 (*.f64 x (log.f64 x))) (*.f64 1 (*.f64 (log.f64 x) -1/2))) |
(+.f64 (*.f64 1 (*.f64 (log.f64 x) -1/2)) (*.f64 1 (*.f64 x (log.f64 x)))) |
(+.f64 (*.f64 (+.f64 (*.f64 3 x) -3/2) (log.f64 (pow.f64 x 1/6))) (*.f64 (+.f64 (*.f64 3 x) -3/2) (log.f64 (pow.f64 x 1/6)))) |
(+.f64 (*.f64 (+.f64 (*.f64 3 x) -3/2) 0) (log.f64 (pow.f64 x (+.f64 x -1/2)))) |
(+.f64 (*.f64 (+.f64 (*.f64 3 x) -3/2) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) (*.f64 (+.f64 (*.f64 3 x) -3/2) (log.f64 (cbrt.f64 (cbrt.f64 x))))) |
(+.f64 (*.f64 0 (+.f64 x -1/2)) (log.f64 (pow.f64 x (+.f64 x -1/2)))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 x -1/2)) (*.f64 (log.f64 (cbrt.f64 x)) (+.f64 x -1/2))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 x)) (+.f64 x -1/2)) (*.f64 (log.f64 (sqrt.f64 x)) (+.f64 x -1/2))) |
(+.f64 (*.f64 (*.f64 x (log.f64 x)) 1) (*.f64 (*.f64 (log.f64 x) -1/2) 1)) |
(+.f64 (*.f64 (*.f64 (log.f64 x) -1/2) 1) (*.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 (log.f64 (pow.f64 x 1/6)) (+.f64 (*.f64 3 x) -3/2)) (*.f64 (log.f64 (pow.f64 x 1/6)) (+.f64 (*.f64 3 x) -3/2))) |
(+.f64 (*.f64 0 (+.f64 (*.f64 3 x) -3/2)) (log.f64 (pow.f64 x (+.f64 x -1/2)))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (+.f64 (*.f64 3 x) -3/2)) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) (+.f64 (*.f64 3 x) -3/2))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) 1) |
(/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) |
(/.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x 1/2) (log.f64 x))) |
(/.f64 (+.f64 -1/8 (pow.f64 x 3)) (/.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))) (log.f64 x))) |
(/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (+.f64 x 1/2)) |
(/.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) |
(/.f64 (*.f64 (log.f64 (cbrt.f64 x)) (*.f64 3 (fma.f64 x x -1/4))) (+.f64 x 1/2)) |
(/.f64 (*.f64 (log.f64 (cbrt.f64 x)) (*.f64 3 (+.f64 -1/8 (pow.f64 x 3)))) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) |
(/.f64 (*.f64 (log.f64 x) (-.f64 1/4 (*.f64 x x))) (-.f64 -1/2 x)) |
(/.f64 (*.f64 (log.f64 x) (neg.f64 (fma.f64 x x -1/4))) (+.f64 (neg.f64 x) -1/2)) |
(/.f64 (*.f64 (log.f64 x) (neg.f64 (+.f64 -1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(/.f64 (*.f64 1 (*.f64 (log.f64 x) (fma.f64 x x -1/4))) (+.f64 x 1/2)) |
(/.f64 (*.f64 1 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3)))) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (fma.f64 x x -1/4))) (sqrt.f64 (+.f64 x 1/2))) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 -1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (fma.f64 x x -1/4))) (cbrt.f64 (+.f64 x 1/2))) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 x x)) (log.f64 x)) (-.f64 -1/2 x)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -1/4)) (log.f64 x)) (+.f64 (neg.f64 x) -1/2)) |
(/.f64 (*.f64 (neg.f64 (+.f64 -1/8 (pow.f64 x 3))) (log.f64 x)) (neg.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) 1) (+.f64 x 1/2)) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) 1) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3))) (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2)))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1/4)) (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2)))) (sqrt.f64 (+.f64 x 1/2))) |
(/.f64 (*.f64 (*.f64 3 (fma.f64 x x -1/4)) (log.f64 (cbrt.f64 x))) (+.f64 x 1/2)) |
(/.f64 (*.f64 (*.f64 3 (+.f64 -1/8 (pow.f64 x 3))) (log.f64 (cbrt.f64 x))) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) 1) (+.f64 x 1/2)) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (sqrt.f64 (+.f64 x 1/2))) (sqrt.f64 (+.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (*.f64 (cbrt.f64 (+.f64 x 1/2)) (cbrt.f64 (+.f64 x 1/2)))) (cbrt.f64 (+.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) 1) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (*.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (log.f64 x) -1/2))) (-.f64 (*.f64 x (log.f64 x)) (*.f64 (log.f64 x) -1/2))) |
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (log.f64 x) -1/2)) (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x)))) (-.f64 (*.f64 (log.f64 x) -1/2) (*.f64 x (log.f64 x)))) |
(pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 1) |
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 2) |
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 3) |
(pow.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) 1/3) |
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2)) |
(log.f64 (pow.f64 x (+.f64 x -1/2))) |
(log.f64 (+.f64 1 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1))) |
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (+.f64 x -1/2) 3))) |
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) |
(exp.f64 (log.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) |
(log1p.f64 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1)) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1) |
(cbrt.f64 x) |
(*.f64 (cbrt.f64 x) 1) |
(cbrt.f64 x) |
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) |
(cbrt.f64 x) |
(*.f64 1 (cbrt.f64 x)) |
(cbrt.f64 x) |
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6)) |
(cbrt.f64 x) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) |
(cbrt.f64 x) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/6))) |
(cbrt.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 x)) |
(cbrt.f64 x) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 x) 1/6) (pow.f64 (sqrt.f64 x) 1/6)) (*.f64 (pow.f64 (sqrt.f64 x) 1/6) (pow.f64 (sqrt.f64 x) 1/6))) |
(cbrt.f64 x) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/6)) (cbrt.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x)))) |
(cbrt.f64 x) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) (*.f64 (cbrt.f64 (pow.f64 x 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))) |
(cbrt.f64 x) |
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (cbrt.f64 x)))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (cbrt.f64 x))))) |
(cbrt.f64 x) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (pow.f64 x 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (pow.f64 x 1/6)))) |
(cbrt.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3/2)) |
(cbrt.f64 x) |
(*.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 (cbrt.f64 x)) 2)) (pow.f64 (exp.f64 1) (/.f64 (log.f64 (cbrt.f64 x)) 2))) |
(cbrt.f64 x) |
(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (/.f64 (sqrt.f64 (log.f64 (cbrt.f64 x))) 2)) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (/.f64 (sqrt.f64 (log.f64 (cbrt.f64 x))) 2))) |
(cbrt.f64 x) |
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (/.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (/.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2))) |
(cbrt.f64 x) |
(pow.f64 x 1/3) |
(cbrt.f64 x) |
(pow.f64 (cbrt.f64 x) 1) |
(cbrt.f64 x) |
(pow.f64 (sqrt.f64 x) 2/3) |
(cbrt.f64 x) |
(pow.f64 (pow.f64 x 1/6) 2) |
(cbrt.f64 x) |
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) |
(cbrt.f64 x) |
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x)))) |
(cbrt.f64 x) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 x)))) |
(cbrt.f64 x) |
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) |
(cbrt.f64 x) |
(log.f64 (exp.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x)))) |
(cbrt.f64 x) |
(expm1.f64 (log1p.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(exp.f64 (log.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(log1p.f64 (expm1.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (pow.f64 (cbrt.f64 x) 2))) |
(cbrt.f64 x) |
(+.f64 (log.f64 x) 0) |
(cbrt.f64 x) |
(+.f64 0 (log.f64 x)) |
(cbrt.f64 x) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x))) |
(cbrt.f64 x) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x))) |
(cbrt.f64 x) |
(+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (pow.f64 x 1/6))) (log.f64 (pow.f64 x 1/6))) |
(cbrt.f64 x) |
(+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) 0) (log.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) (log.f64 (cbrt.f64 (cbrt.f64 x)))) |
(cbrt.f64 x) |
(+.f64 (*.f64 3 (log.f64 (pow.f64 x 1/6))) (*.f64 3 (log.f64 (pow.f64 x 1/6)))) |
(cbrt.f64 x) |
(+.f64 (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) (*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 x))))) |
(cbrt.f64 x) |
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 x))) (*.f64 1 (log.f64 (sqrt.f64 x)))) |
(cbrt.f64 x) |
(+.f64 (*.f64 (log.f64 (pow.f64 x 1/6)) 3) (*.f64 (log.f64 (pow.f64 x 1/6)) 3)) |
(cbrt.f64 x) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) 3) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3)) |
(cbrt.f64 x) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) 1) (log.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 x)) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)) |
(cbrt.f64 x) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 x))) 1) |
(cbrt.f64 x) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 x)))) 1) |
(cbrt.f64 x) |
(-.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 x))))) 1) |
(cbrt.f64 x) |
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 2)) (-.f64 0 (log.f64 x))) |
(cbrt.f64 x) |
(/.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (log.f64 (cbrt.f64 x)) 2)) (-.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (cbrt.f64 x)))) |
(cbrt.f64 x) |
(/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x))) (*.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))) |
(cbrt.f64 x) |
(pow.f64 (log.f64 x) 1) |
(cbrt.f64 x) |
(pow.f64 (sqrt.f64 (log.f64 x)) 2) |
(cbrt.f64 x) |
(pow.f64 (cbrt.f64 (log.f64 x)) 3) |
(cbrt.f64 x) |
(pow.f64 (pow.f64 (log.f64 x) 3) 1/3) |
(cbrt.f64 x) |
(sqrt.f64 (pow.f64 (log.f64 x) 2)) |
(cbrt.f64 x) |
(log.f64 x) |
(cbrt.f64 x) |
(log.f64 (+.f64 1 (-.f64 x 1))) |
(cbrt.f64 x) |
(cbrt.f64 (pow.f64 (log.f64 x) 3)) |
(cbrt.f64 x) |
(expm1.f64 (log1p.f64 (log.f64 x))) |
(cbrt.f64 x) |
(exp.f64 (log.f64 (log.f64 x))) |
(cbrt.f64 x) |
(log1p.f64 (-.f64 x 1)) |
(cbrt.f64 x) |
(+.f64 (*.f64 x (log.f64 x)) (*.f64 (log.f64 x) -1/2)) |
(cbrt.f64 x) |
(+.f64 (*.f64 (log.f64 x) -1/2) (*.f64 x (log.f64 x))) |
(cbrt.f64 x) |
(+.f64 (*.f64 (+.f64 x -1/2) 0) (log.f64 (pow.f64 x (+.f64 x -1/2)))) |
(cbrt.f64 x) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (log.f64 (cbrt.f64 x)) (+.f64 x -1/2))) |
(cbrt.f64 x) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x))) (*.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x)))) |
(cbrt.f64 x) |
(+.f64 (*.f64 1 (*.f64 x (log.f64 x))) (*.f64 1 (*.f64 (log.f64 x) -1/2))) |
(cbrt.f64 x) |
(+.f64 (*.f64 1 (*.f64 (log.f64 x) -1/2)) (*.f64 1 (*.f64 x (log.f64 x)))) |
(cbrt.f64 x) |
(+.f64 (*.f64 (+.f64 (*.f64 3 x) -3/2) (log.f64 (pow.f64 x 1/6))) (*.f64 (+.f64 (*.f64 3 x) -3/2) (log.f64 (pow.f64 x 1/6)))) |
(cbrt.f64 x) |
(+.f64 (*.f64 (+.f64 (*.f64 3 x) -3/2) 0) (log.f64 (pow.f64 x (+.f64 x -1/2)))) |
(cbrt.f64 x) |
(+.f64 (*.f64 (+.f64 (*.f64 3 x) -3/2) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) (*.f64 (+.f64 (*.f64 3 x) -3/2) (log.f64 (cbrt.f64 (cbrt.f64 x))))) |
(cbrt.f64 x) |
(+.f64 (*.f64 0 (+.f64 x -1/2)) (log.f64 (pow.f64 x (+.f64 x -1/2)))) |
(cbrt.f64 x) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 x -1/2)) (*.f64 (log.f64 (cbrt.f64 x)) (+.f64 x -1/2))) |
(cbrt.f64 x) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 x)) (+.f64 x -1/2)) (*.f64 (log.f64 (sqrt.f64 x)) (+.f64 x -1/2))) |
(cbrt.f64 x) |
(+.f64 (*.f64 (*.f64 x (log.f64 x)) 1) (*.f64 (*.f64 (log.f64 x) -1/2) 1)) |
(cbrt.f64 x) |
(+.f64 (*.f64 (*.f64 (log.f64 x) -1/2) 1) (*.f64 (*.f64 x (log.f64 x)) 1)) |
(cbrt.f64 x) |
(+.f64 (*.f64 (log.f64 (pow.f64 x 1/6)) (+.f64 (*.f64 3 x) -3/2)) (*.f64 (log.f64 (pow.f64 x 1/6)) (+.f64 (*.f64 3 x) -3/2))) |
(cbrt.f64 x) |
(+.f64 (*.f64 0 (+.f64 (*.f64 3 x) -3/2)) (log.f64 (pow.f64 x (+.f64 x -1/2)))) |
(cbrt.f64 x) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (+.f64 (*.f64 3 x) -3/2)) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) (+.f64 (*.f64 3 x) -3/2))) |
(cbrt.f64 x) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) 1) |
(cbrt.f64 x) |
(/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) |
(cbrt.f64 x) |
(/.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x 1/2) (log.f64 x))) |
(cbrt.f64 x) |
(/.f64 (+.f64 -1/8 (pow.f64 x 3)) (/.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))) (log.f64 x))) |
(cbrt.f64 x) |
(/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (+.f64 x 1/2)) |
(cbrt.f64 x) |
(/.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) |
(cbrt.f64 x) |
(/.f64 (*.f64 (log.f64 (cbrt.f64 x)) (*.f64 3 (fma.f64 x x -1/4))) (+.f64 x 1/2)) |
(cbrt.f64 x) |
(/.f64 (*.f64 (log.f64 (cbrt.f64 x)) (*.f64 3 (+.f64 -1/8 (pow.f64 x 3)))) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) |
(cbrt.f64 x) |
(/.f64 (*.f64 (log.f64 x) (-.f64 1/4 (*.f64 x x))) (-.f64 -1/2 x)) |
(cbrt.f64 x) |
(/.f64 (*.f64 (log.f64 x) (neg.f64 (fma.f64 x x -1/4))) (+.f64 (neg.f64 x) -1/2)) |
(cbrt.f64 x) |
(/.f64 (*.f64 (log.f64 x) (neg.f64 (+.f64 -1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(cbrt.f64 x) |
(/.f64 (*.f64 1 (*.f64 (log.f64 x) (fma.f64 x x -1/4))) (+.f64 x 1/2)) |
(cbrt.f64 x) |
(/.f64 (*.f64 1 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3)))) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) |
(cbrt.f64 x) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(cbrt.f64 x) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (fma.f64 x x -1/4))) (sqrt.f64 (+.f64 x 1/2))) |
(cbrt.f64 x) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 -1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(cbrt.f64 x) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (fma.f64 x x -1/4))) (cbrt.f64 (+.f64 x 1/2))) |
(cbrt.f64 x) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 x x)) (log.f64 x)) (-.f64 -1/2 x)) |
(cbrt.f64 x) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -1/4)) (log.f64 x)) (+.f64 (neg.f64 x) -1/2)) |
(cbrt.f64 x) |
(/.f64 (*.f64 (neg.f64 (+.f64 -1/8 (pow.f64 x 3))) (log.f64 x)) (neg.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(cbrt.f64 x) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) 1) (+.f64 x 1/2)) |
(cbrt.f64 x) |
(/.f64 (*.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) 1) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) |
(cbrt.f64 x) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3))) (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2)))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(cbrt.f64 x) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1/4)) (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2)))) (sqrt.f64 (+.f64 x 1/2))) |
(cbrt.f64 x) |
(/.f64 (*.f64 (*.f64 3 (fma.f64 x x -1/4)) (log.f64 (cbrt.f64 x))) (+.f64 x 1/2)) |
(cbrt.f64 x) |
(/.f64 (*.f64 (*.f64 3 (+.f64 -1/8 (pow.f64 x 3))) (log.f64 (cbrt.f64 x))) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) |
(cbrt.f64 x) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) 1) (+.f64 x 1/2)) |
(cbrt.f64 x) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (sqrt.f64 (+.f64 x 1/2))) (sqrt.f64 (+.f64 x 1/2))) |
(cbrt.f64 x) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (*.f64 (cbrt.f64 (+.f64 x 1/2)) (cbrt.f64 (+.f64 x 1/2)))) (cbrt.f64 (+.f64 x 1/2))) |
(cbrt.f64 x) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) 1) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) |
(cbrt.f64 x) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(cbrt.f64 x) |
(/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))) |
(cbrt.f64 x) |
(/.f64 (-.f64 (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (*.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (log.f64 x) -1/2))) (-.f64 (*.f64 x (log.f64 x)) (*.f64 (log.f64 x) -1/2))) |
(cbrt.f64 x) |
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (log.f64 x) -1/2)) (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x)))) (-.f64 (*.f64 (log.f64 x) -1/2) (*.f64 x (log.f64 x)))) |
(cbrt.f64 x) |
(pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 1) |
(cbrt.f64 x) |
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 2) |
(cbrt.f64 x) |
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 3) |
(cbrt.f64 x) |
(pow.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) 1/3) |
(cbrt.f64 x) |
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2)) |
(cbrt.f64 x) |
(log.f64 (pow.f64 x (+.f64 x -1/2))) |
(cbrt.f64 x) |
(log.f64 (+.f64 1 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1))) |
(cbrt.f64 x) |
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3)) |
(cbrt.f64 x) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (+.f64 x -1/2) 3))) |
(cbrt.f64 x) |
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) |
(cbrt.f64 x) |
(exp.f64 (log.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) |
(cbrt.f64 x) |
(log1p.f64 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1)) |
(cbrt.f64 x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (/.f64 83333333333333/1000000000000000 x) |
Compiled 8 to 6 computations (25% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) | |
| ✓ | 0.2b | (/.f64 (/.f64 x z) z) |
| 0.3b | (*.f64 x (-.f64 (log.f64 x) 1)) | |
| ✓ | 3.7b | (/.f64 y (/.f64 (/.f64 x z) z)) |
Compiled 59 to 25 computations (57.6% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 y (/.f64 (/.f64 x z) z)) |
| 1.0ms | z | @ | 0 | (/.f64 (/.f64 x z) z) |
| 1.0ms | z | @ | 0 | (/.f64 y (/.f64 (/.f64 x z) z)) |
| 1.0ms | x | @ | 0 | (/.f64 y (/.f64 (/.f64 x z) z)) |
| 1.0ms | y | @ | inf | (/.f64 y (/.f64 (/.f64 x z) z)) |
| 1× | batch-egg-rewrite |
| 1172× | associate-/r/ |
| 1048× | *-commutative |
| 826× | associate-/l/ |
| 680× | swap-sqr |
| 674× | unswap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 176 | 32 |
| 2 | 2629 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (/.f64 (/.f64 x z) z)) |
(/.f64 (/.f64 x z) z) |
| Outputs |
|---|
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#<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (*.f64 z z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 z x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 x (*.f64 z (neg.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (*.f64 z z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (*.f64 z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 z z)))))))) |
| 1× | egg-herbie |
| 874× | distribute-rgt-in |
| 856× | distribute-lft-in |
| 838× | distribute-lft-neg-in |
| 812× | *-commutative |
| 812× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 482 | 6047 |
| 1 | 1432 | 5739 |
| 2 | 5403 | 5739 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z x) (*.f64 y z)))) 1) |
(*.f64 y (*.f64 z (/.f64 z x))) |
(*.f64 z (*.f64 y (/.f64 z x))) |
(*.f64 (*.f64 (/.f64 z x) (*.f64 y z)) 1) |
(*.f64 1 (*.f64 (/.f64 z x) (*.f64 y z))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) z) (*.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) z)) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 y (/.f64 z x)))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 z (/.f64 z x)))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 z x) (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z x) (*.f64 y z))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 z x) (*.f64 y z))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z x) (*.f64 y z))) 2) (cbrt.f64 (*.f64 (/.f64 z x) (*.f64 y z)))) |
(*.f64 (cbrt.f64 z) (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 y (/.f64 z x)))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (*.f64 z (/.f64 z x)))) |
(*.f64 (*.f64 z z) (/.f64 y x)) |
(*.f64 (*.f64 y (/.f64 z x)) z) |
(*.f64 (*.f64 z (/.f64 z x)) y) |
(*.f64 (*.f64 z (/.f64 z x)) (/.f64 y 1)) |
(*.f64 (/.f64 z x) (*.f64 y z)) |
(*.f64 (/.f64 z x) (*.f64 (/.f64 y 1) z)) |
(*.f64 (neg.f64 z) (*.f64 (/.f64 y (neg.f64 x)) z)) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 z x) (neg.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 y (/.f64 z x))) (sqrt.f64 z)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 y (/.f64 z x))) (cbrt.f64 z)) |
(*.f64 (*.f64 (sqrt.f64 y) (*.f64 z (/.f64 z x))) (sqrt.f64 y)) |
(*.f64 (*.f64 (cbrt.f64 y) (*.f64 z (/.f64 z x))) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) z) (*.f64 (/.f64 y (sqrt.f64 x)) z)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (*.f64 z z))))) |
(*.f64 (/.f64 y x) (*.f64 z z)) |
(*.f64 (/.f64 y x) (*.f64 (/.f64 z 1) z)) |
(*.f64 (/.f64 y 1) (*.f64 z (/.f64 z x))) |
(*.f64 (/.f64 y 1) (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (sqrt.f64 (/.f64 x z))) (/.f64 z (sqrt.f64 (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (/.f64 z (cbrt.f64 (/.f64 x z)))) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) z) (*.f64 (/.f64 1 (sqrt.f64 x)) z)) |
(*.f64 (*.f64 (/.f64 y 1) z) (/.f64 z x)) |
(*.f64 (/.f64 y (cbrt.f64 (/.f64 x (*.f64 z z)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2))) |
(*.f64 (/.f64 1 x) (*.f64 y (*.f64 z z))) |
(*.f64 (/.f64 y (neg.f64 x)) (*.f64 z (neg.f64 z))) |
(*.f64 (*.f64 (/.f64 y (neg.f64 x)) z) (neg.f64 z)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) 1) z) (*.f64 (/.f64 (sqrt.f64 y) x) z)) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 z z))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) z) (*.f64 (/.f64 (sqrt.f64 y) 1) z)) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 y) 1) z) (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) z)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) (/.f64 x z)) z)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 z z)) (sqrt.f64 y)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 z z)) (/.f64 (sqrt.f64 y) 1)) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (*.f64 z z))))) |
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (*.f64 z z)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) z) (*.f64 (/.f64 (cbrt.f64 y) 1) z)) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 y) (/.f64 x z)) z) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (sqrt.f64 x) z)) (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 x)) z)) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 x)) z) (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (sqrt.f64 x) z))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2)) (cbrt.f64 (*.f64 (/.f64 z x) (*.f64 y z)))) |
(*.f64 (/.f64 z (neg.f64 x)) (*.f64 y (neg.f64 z))) |
(*.f64 (*.f64 (/.f64 z x) (neg.f64 z)) (neg.f64 y)) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (*.f64 z z) (sqrt.f64 x))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 z z) (cbrt.f64 x))) |
(*.f64 (/.f64 y (/.f64 x (*.f64 z (sqrt.f64 z)))) (sqrt.f64 z)) |
(*.f64 (/.f64 y (/.f64 x (*.f64 z (pow.f64 (cbrt.f64 z) 2)))) (cbrt.f64 z)) |
(*.f64 (/.f64 y -1) (*.f64 (/.f64 z x) (neg.f64 z))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (sqrt.f64 y) (*.f64 z z)))) (sqrt.f64 y)) |
(*.f64 (/.f64 1 (/.f64 (/.f64 x z) (*.f64 (pow.f64 (cbrt.f64 y) 2) z))) (cbrt.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 x (*.f64 z z))) (cbrt.f64 y)) |
(*.f64 (/.f64 (*.f64 y (/.f64 z x)) 1) z) |
(*.f64 (/.f64 (*.f64 y (/.f64 z x)) 1) (/.f64 z 1)) |
(*.f64 (/.f64 (*.f64 y (/.f64 z x)) (/.f64 1 (sqrt.f64 z))) (sqrt.f64 z)) |
(*.f64 (/.f64 (*.f64 y (/.f64 z x)) (/.f64 1 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(*.f64 (/.f64 (*.f64 y (/.f64 z x)) -1) (neg.f64 z)) |
(*.f64 (/.f64 (neg.f64 y) (neg.f64 x)) (*.f64 z z)) |
(*.f64 (/.f64 (neg.f64 y) -1) (*.f64 z (/.f64 z x))) |
(*.f64 (/.f64 (neg.f64 y) (/.f64 x z)) (neg.f64 z)) |
(*.f64 (/.f64 (*.f64 y z) x) z) |
(*.f64 (/.f64 (*.f64 y z) 1) (/.f64 z x)) |
(*.f64 (/.f64 (*.f64 y z) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x))) |
(*.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 x) 2)) (/.f64 z (cbrt.f64 x))) |
(*.f64 (/.f64 (*.f64 y z) (neg.f64 x)) (neg.f64 z)) |
(*.f64 (/.f64 (*.f64 y z) (/.f64 x 1)) z) |
(*.f64 (/.f64 (*.f64 y z) (/.f64 x (sqrt.f64 z))) (sqrt.f64 z)) |
(*.f64 (/.f64 (*.f64 y z) (/.f64 x (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(*.f64 (/.f64 (*.f64 y z) -1) (/.f64 z (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 y 1) x) (*.f64 z z)) |
(*.f64 (/.f64 (/.f64 y 1) x) (*.f64 (/.f64 z 1) z)) |
(*.f64 (/.f64 (/.f64 y 1) 1) (*.f64 z (/.f64 z x))) |
(*.f64 (/.f64 (/.f64 y 1) 1) (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 (/.f64 y 1) (sqrt.f64 (/.f64 x z))) (/.f64 z (sqrt.f64 (/.f64 x z)))) |
(*.f64 (/.f64 (/.f64 y 1) (sqrt.f64 x)) (/.f64 (*.f64 z z) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 y 1) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (/.f64 z (cbrt.f64 (/.f64 x z)))) |
(*.f64 (/.f64 (/.f64 y 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 z z) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 y 1) (/.f64 1 z)) (/.f64 z x)) |
(*.f64 (/.f64 (/.f64 y 1) (neg.f64 x)) (*.f64 z (neg.f64 z))) |
(*.f64 (/.f64 (/.f64 y 1) (/.f64 x (neg.f64 z))) (neg.f64 z)) |
(*.f64 (/.f64 (/.f64 y 1) (/.f64 x (*.f64 z (sqrt.f64 z)))) (sqrt.f64 z)) |
(*.f64 (/.f64 (/.f64 y 1) (/.f64 x (*.f64 z (pow.f64 (cbrt.f64 z) 2)))) (cbrt.f64 z)) |
(*.f64 (/.f64 (/.f64 y 1) -1) (*.f64 (/.f64 z x) (neg.f64 z))) |
(*.f64 (/.f64 (*.f64 (/.f64 y (sqrt.f64 x)) z) 1) (sqrt.f64 (*.f64 z (/.f64 z x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 y (sqrt.f64 x)) z) (sqrt.f64 (/.f64 x z))) (sqrt.f64 z)) |
(*.f64 (/.f64 (*.f64 (/.f64 y (sqrt.f64 x)) z) (sqrt.f64 x)) z) |
(*.f64 (/.f64 (*.f64 (/.f64 y (sqrt.f64 x)) z) (sqrt.f64 (/.f64 x (neg.f64 z)))) (sqrt.f64 (neg.f64 z))) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2)) 1) (cbrt.f64 (*.f64 z (/.f64 z x)))) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2)) (cbrt.f64 (/.f64 x z))) (cbrt.f64 z)) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 z) 2)) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2)) (cbrt.f64 (/.f64 x (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 x z)))) (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 x z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 x z)))) (*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 x z))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 z x) (*.f64 y z)))) (cbrt.f64 (*.f64 (/.f64 z x) (*.f64 y z)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 z x) (*.f64 y z)))) (cbrt.f64 (*.f64 (/.f64 z x) (*.f64 y z))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) z)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z x) (*.f64 y z))) 2))) (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) z)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z x) (*.f64 y z))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 z x) (*.f64 y z))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 z x) (*.f64 y z))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 z x) (*.f64 y z))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 z x) (*.f64 y z)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z x) (*.f64 y z))) 2)) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) z))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z x) (*.f64 y z))) 2)) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) z)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 x z))) (sqrt.f64 y)) (*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 x z))) (sqrt.f64 y))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z x) (*.f64 y z))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z x) (*.f64 y z))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 z x) (*.f64 y z)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (/.f64 z x) (*.f64 y z)) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 x (*.f64 y (*.f64 z z))) -1/2) (pow.f64 (/.f64 x (*.f64 y (*.f64 z z))) -1/2)) |
(pow.f64 (*.f64 (/.f64 z x) (*.f64 y z)) 1) |
(pow.f64 (*.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) z) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 z x) (*.f64 y z))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 z x) (*.f64 y z)) 3) 1/3) |
(pow.f64 (/.f64 x (*.f64 y (*.f64 z z))) -1) |
(neg.f64 (*.f64 (/.f64 y (neg.f64 x)) (*.f64 z z))) |
(neg.f64 (*.f64 y (*.f64 (/.f64 z x) (neg.f64 z)))) |
(neg.f64 (*.f64 (*.f64 (/.f64 y (neg.f64 x)) (*.f64 z z)) 1)) |
(neg.f64 (*.f64 1 (*.f64 (/.f64 y (neg.f64 x)) (*.f64 z z)))) |
(neg.f64 (/.f64 (neg.f64 y) (/.f64 x (*.f64 z z)))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 z x) (*.f64 y z)) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (*.f64 z (/.f64 z x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z x) (*.f64 y z))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 z x) (*.f64 y z)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x (*.f64 z z)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 z x) (*.f64 y z)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 z x) (*.f64 y z)))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 z x) (*.f64 y z)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 z z)))) 1) |
(*.f64 x (*.f64 (/.f64 1 z) (/.f64 1 z))) |
(*.f64 x (/.f64 1 (*.f64 z z))) |
(*.f64 (/.f64 x z) (/.f64 1 z)) |
(*.f64 (/.f64 x z) (neg.f64 (/.f64 -1 z))) |
(*.f64 (/.f64 x (*.f64 z z)) 1) |
(*.f64 1 (/.f64 x (*.f64 z z))) |
(*.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) (/.f64 1 z))) |
(*.f64 (sqrt.f64 (/.f64 x z)) (/.f64 (sqrt.f64 (/.f64 x z)) z)) |
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) z)) |
(*.f64 (/.f64 (sqrt.f64 x) z) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 x)) z))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (*.f64 (cbrt.f64 (/.f64 x z)) (/.f64 1 z))) |
(*.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2)) |
(*.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (pow.f64 (cbrt.f64 z) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2) (cbrt.f64 (/.f64 x (*.f64 z z)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 x (*.f64 z z)))))) |
(*.f64 (/.f64 1 z) (/.f64 x z)) |
(*.f64 (/.f64 x (neg.f64 z)) (/.f64 -1 z)) |
(*.f64 (sqrt.f64 (/.f64 x (*.f64 z (neg.f64 z)))) (neg.f64 (sqrt.f64 (/.f64 x (*.f64 z (neg.f64 z)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 z (neg.f64 z)))) (cbrt.f64 (/.f64 x (*.f64 z (neg.f64 z))))) (neg.f64 (cbrt.f64 (/.f64 x (*.f64 z (neg.f64 z)))))) |
(*.f64 (*.f64 (/.f64 1 z) (/.f64 1 z)) x) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 x z)) (/.f64 1 z)) (sqrt.f64 (/.f64 x z))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x z)) (/.f64 1 z)) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) |
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 1 z)) (*.f64 (sqrt.f64 x) (/.f64 1 z))) |
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 x (*.f64 z (sqrt.f64 z)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (/.f64 x z) (cbrt.f64 z))) |
(*.f64 (/.f64 x 1) (/.f64 1 (*.f64 z z))) |
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 1 (*.f64 z (sqrt.f64 z)))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) (/.f64 (/.f64 1 z) (cbrt.f64 z))) |
(*.f64 (/.f64 x (*.f64 z (sqrt.f64 z))) (/.f64 1 (sqrt.f64 z))) |
(*.f64 (/.f64 (/.f64 x z) (cbrt.f64 z)) (/.f64 1 (pow.f64 (cbrt.f64 z) 2))) |
(*.f64 -1 (/.f64 x (*.f64 z (neg.f64 z)))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) z) (/.f64 (neg.f64 (sqrt.f64 x)) z)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2)) (neg.f64 (cbrt.f64 (/.f64 x (*.f64 z z))))) |
(*.f64 (/.f64 -1 z) (/.f64 x (neg.f64 z))) |
(*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 (pow.f64 (cbrt.f64 x) 2) z)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (/.f64 (cbrt.f64 x) z)) |
(*.f64 (/.f64 1 (*.f64 z z)) x) |
(*.f64 (/.f64 1 (*.f64 z z)) (/.f64 x 1)) |
(*.f64 (/.f64 1 (*.f64 z (sqrt.f64 z))) (/.f64 x (sqrt.f64 z))) |
(*.f64 (/.f64 (/.f64 1 z) (cbrt.f64 z)) (/.f64 x (pow.f64 (cbrt.f64 z) 2))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x z)) z) (sqrt.f64 (/.f64 x z))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (/.f64 x z)) (cbrt.f64 z))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x z)) (cbrt.f64 z)) (/.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 z) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) 1) (/.f64 (cbrt.f64 (/.f64 x z)) z)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 x z)) z) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 x z)) (sqrt.f64 z))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 x z)) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (sqrt.f64 z))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 x (*.f64 z z)))) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2))) (cbrt.f64 (/.f64 x (*.f64 z z)))) |
(*.f64 (/.f64 1 (/.f64 z (sqrt.f64 (/.f64 x z)))) (sqrt.f64 (/.f64 x z))) |
(*.f64 (/.f64 1 (/.f64 z (pow.f64 (cbrt.f64 (/.f64 x z)) 2))) (cbrt.f64 (/.f64 x z))) |
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 z z)) (sqrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) z) (cbrt.f64 (/.f64 x z))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 z z)) (cbrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 z) 1) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 1 z) (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z))) |
(*.f64 (/.f64 (/.f64 1 z) (neg.f64 z)) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 1 z) (/.f64 z 1)) x) |
(*.f64 (/.f64 (/.f64 1 z) (/.f64 z (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 z) (/.f64 z (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 z (neg.f64 z))))) (sqrt.f64 (/.f64 x (*.f64 z (neg.f64 z))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 z (neg.f64 z)))) (cbrt.f64 (/.f64 x (*.f64 z (neg.f64 z)))))) (cbrt.f64 (/.f64 x (*.f64 z (neg.f64 z))))) |
(*.f64 (neg.f64 (/.f64 (neg.f64 (sqrt.f64 x)) z)) (/.f64 (sqrt.f64 x) z)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2))) (cbrt.f64 (/.f64 x (*.f64 z z)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (*.f64 z z)))) (cbrt.f64 (/.f64 x (*.f64 z z)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (*.f64 z z)))) (cbrt.f64 (/.f64 x (*.f64 z z))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 x) z)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 x) z)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) (sqrt.f64 (cbrt.f64 (/.f64 x (*.f64 z z))))) (*.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) (sqrt.f64 (cbrt.f64 (/.f64 x (*.f64 z z)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 x) z))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 x) z)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 3/2) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 z z)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 x (*.f64 z z)) 3) 1/6)) |
(*.f64 (pow.f64 (*.f64 z (/.f64 z x)) -1/2) (pow.f64 (*.f64 z (/.f64 z x)) -1/2)) |
(pow.f64 (/.f64 x (*.f64 z z)) 1) |
(pow.f64 (/.f64 (sqrt.f64 x) z) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 3) |
(pow.f64 (pow.f64 (/.f64 x (*.f64 z z)) 3) 1/3) |
(pow.f64 (*.f64 z (/.f64 z x)) -1) |
(neg.f64 (/.f64 x (*.f64 z (neg.f64 z)))) |
(neg.f64 (/.f64 (/.f64 x (*.f64 z (neg.f64 z))) 1)) |
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 z z)) 2)) |
(log.f64 (exp.f64 (/.f64 x (*.f64 z z)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 z z))))) |
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 z z)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 z 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 z z)))) |
(exp.f64 (log.f64 (/.f64 x (*.f64 z z)))) |
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 z z)))) |
| Outputs |
|---|
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (*.f64 z z)) x) |
(*.f64 y (*.f64 z (/.f64 z x))) |
(*.f64 z (/.f64 z (/.f64 x y))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (*.f64 z z)) x) |
(*.f64 y (*.f64 z (/.f64 z x))) |
(*.f64 z (/.f64 z (/.f64 x y))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (*.f64 z z)) x) |
(*.f64 y (*.f64 z (/.f64 z x))) |
(*.f64 z (/.f64 z (/.f64 x y))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (*.f64 z z)) x) |
(*.f64 y (*.f64 z (/.f64 z x))) |
(*.f64 z (/.f64 z (/.f64 x y))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (*.f64 z z)) x) |
(*.f64 y (*.f64 z (/.f64 z x))) |
(*.f64 z (/.f64 z (/.f64 x y))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (*.f64 z z)) x) |
(*.f64 y (*.f64 z (/.f64 z x))) |
(*.f64 z (/.f64 z (/.f64 x y))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (*.f64 z z)) x) |
(*.f64 y (*.f64 z (/.f64 z x))) |
(*.f64 z (/.f64 z (/.f64 x y))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (*.f64 z z)) x) |
(*.f64 y (*.f64 z (/.f64 z x))) |
(*.f64 z (/.f64 z (/.f64 x y))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (*.f64 z z)) x) |
(*.f64 y (*.f64 z (/.f64 z x))) |
(*.f64 z (/.f64 z (/.f64 x y))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (*.f64 z z)) x) |
(*.f64 y (*.f64 z (/.f64 z x))) |
(*.f64 z (/.f64 z (/.f64 x y))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (*.f64 z z)) x) |
(*.f64 y (*.f64 z (/.f64 z x))) |
(*.f64 z (/.f64 z (/.f64 x y))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (*.f64 z z)) x) |
(*.f64 y (*.f64 z (/.f64 z x))) |
(*.f64 z (/.f64 z (/.f64 x y))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (*.f64 z z)) x) |
(*.f64 y (*.f64 z (/.f64 z x))) |
(*.f64 z (/.f64 z (/.f64 x y))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (*.f64 z z)) x) |
(*.f64 y (*.f64 z (/.f64 z x))) |
(*.f64 z (/.f64 z (/.f64 x y))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (*.f64 z z)) x) |
(*.f64 y (*.f64 z (/.f64 z x))) |
(*.f64 z (/.f64 z (/.f64 x y))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (*.f64 z z)) x) |
(*.f64 y (*.f64 z (/.f64 z x))) |
(*.f64 z (/.f64 z (/.f64 x y))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (*.f64 z z)) x) |
(*.f64 y (*.f64 z (/.f64 z x))) |
(*.f64 z (/.f64 z (/.f64 x y))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 y (*.f64 z z)) x) |
(*.f64 y (*.f64 z (/.f64 z x))) |
(*.f64 z (/.f64 z (/.f64 x y))) |
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(/.f64 (*.f64 y (*.f64 z z)) x) |
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(*.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) (sqrt.f64 (cbrt.f64 (/.f64 x (*.f64 z z))))) (*.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) (sqrt.f64 (cbrt.f64 (/.f64 x (*.f64 z z)))))) |
(/.f64 x (*.f64 z z)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 x) z))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 x) z)))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 x) z)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 x) z)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 x) z)) (cbrt.f64 (/.f64 (sqrt.f64 x) z)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 3/2) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 3/2)) |
(/.f64 x (*.f64 z z)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 z z)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 x (*.f64 z z)) 3) 1/6)) |
(/.f64 x (*.f64 z z)) |
(*.f64 (pow.f64 (*.f64 z (/.f64 z x)) -1/2) (pow.f64 (*.f64 z (/.f64 z x)) -1/2)) |
(/.f64 x (*.f64 z z)) |
(pow.f64 (/.f64 x (*.f64 z z)) 1) |
(/.f64 x (*.f64 z z)) |
(pow.f64 (/.f64 (sqrt.f64 x) z) 2) |
(/.f64 x (*.f64 z z)) |
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 3) |
(/.f64 x (*.f64 z z)) |
(pow.f64 (pow.f64 (/.f64 x (*.f64 z z)) 3) 1/3) |
(/.f64 x (*.f64 z z)) |
(pow.f64 (*.f64 z (/.f64 z x)) -1) |
(/.f64 x (*.f64 z z)) |
(neg.f64 (/.f64 x (*.f64 z (neg.f64 z)))) |
(*.f64 (/.f64 x (neg.f64 z)) (/.f64 -1 z)) |
(/.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)) |
(/.f64 (neg.f64 x) (*.f64 z (neg.f64 z))) |
(neg.f64 (/.f64 (/.f64 x (*.f64 z (neg.f64 z))) 1)) |
(*.f64 (/.f64 x (neg.f64 z)) (/.f64 -1 z)) |
(/.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)) |
(/.f64 (neg.f64 x) (*.f64 z (neg.f64 z))) |
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 z z)) 2)) |
(fabs.f64 (/.f64 x (*.f64 z z))) |
(log.f64 (exp.f64 (/.f64 x (*.f64 z z)))) |
(/.f64 x (*.f64 z z)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 z z))))) |
(/.f64 x (*.f64 z z)) |
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 z z)) 3)) |
(/.f64 x (*.f64 z z)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 z 3))) |
(/.f64 x (*.f64 z z)) |
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 z z)))) |
(/.f64 x (*.f64 z z)) |
(exp.f64 (log.f64 (/.f64 x (*.f64 z z)))) |
(/.f64 x (*.f64 z z)) |
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 z z)))) |
(/.f64 x (*.f64 z z)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) | |
| 0.1b | (*.f64 (+.f64 y 7936500793651/10000000000000000) z) | |
| 0.3b | (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) | |
| 8.6b | (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) |
Compiled 91 to 62 computations (31.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) |
| 0.3b | (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) | |
| 0.4b | (/.f64 83333333333333/1000000000000000 x) | |
| 0.5b | (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) |
Compiled 46 to 34 computations (26.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) |
| 0.0ms | x | @ | inf | (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) |
| 1× | batch-egg-rewrite |
| 1350× | add-sqr-sqrt |
| 1318× | *-un-lft-identity |
| 1240× | add-cube-cbrt |
| 1230× | add-cbrt-cube |
| 1218× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 145 | 11 |
| 2 | 1708 | 11 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/4) (pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 83333333333333/1000000000000000) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 83333333333333/1000000000000000) (pow.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) 1/2) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) (sqrt.f64 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -83333333333333/1000000000000000) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 83333333333333/1000000000000000)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))))))) |
| 1× | egg-herbie |
| 858× | associate--l+ |
| 810× | associate-*r* |
| 790× | *-commutative |
| 752× | associate-*l* |
| 634× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 662 |
| 1 | 138 | 554 |
| 2 | 323 | 470 |
| 3 | 891 | 470 |
| 4 | 3348 | 470 |
| 5 | 6817 | 470 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) 1) |
(*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 1) |
(*.f64 1 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) |
(*.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/4) (pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/4)) |
(*.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 83333333333333/1000000000000000) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 83333333333333/1000000000000000) (pow.f64 (/.f64 1 x) 1/2)) |
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x))) |
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) 1/2) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 1/2)) |
(/.f64 1 (sqrt.f64 (*.f64 x 1000000000000000/83333333333333))) |
(/.f64 1 (/.f64 (sqrt.f64 x) (sqrt.f64 83333333333333/1000000000000000))) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 -83333333333333/1000000000000000) (sqrt.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (sqrt.f64 83333333333333/1000000000000000)) (neg.f64 (sqrt.f64 x))) |
(pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/2) |
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 1) |
(pow.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) 3) |
(pow.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(cbrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(exp.f64 (log.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) 1) |
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) -1) |
(+.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 0) |
(sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) |
(*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 1) |
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) -1) |
(+.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 0) |
(sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) |
(*.f64 1 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) -1) |
(+.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 0) |
(sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) |
(*.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/4) (pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/4)) |
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) -1) |
(+.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 0) |
(sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) |
(*.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 83333333333333/1000000000000000) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 83333333333333/1000000000000000) (pow.f64 (/.f64 1 x) 1/2)) |
(*.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x))) |
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) -1) |
(+.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 0) |
(sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) 1/2) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 1/2)) |
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(/.f64 1 (sqrt.f64 (*.f64 x 1000000000000000/83333333333333))) |
(/.f64 1 (/.f64 (sqrt.f64 x) (sqrt.f64 83333333333333/1000000000000000))) |
(*.f64 (sqrt.f64 83333333333333/1000000000000000) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 83333333333333/1000000000000000) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (sqrt.f64 -83333333333333/1000000000000000) (sqrt.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (sqrt.f64 83333333333333/1000000000000000)) (neg.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 83333333333333/1000000000000000) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 x)) |
(pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/2) |
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) -1) |
(+.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 0) |
(sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) |
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 1) |
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) -1) |
(+.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 0) |
(sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) |
(pow.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 1/4) 2) |
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) -1) |
(+.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 0) |
(sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) 3) |
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) -1) |
(+.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 0) |
(sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) |
(pow.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3/2)) |
(fabs.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) -1) |
(+.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 0) |
(sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) -1) |
(+.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 0) |
(sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) |
(cbrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) -1) |
(+.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 0) |
(sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) |
(exp.f64 (log.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) -1) |
(+.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 0) |
(sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))) |
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) -1) |
(+.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 0) |
(sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) |
Compiled 31129 to 19697 computations (36.7% saved)
43 alts after pruning (40 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1121 | 23 | 1144 |
| Fresh | 15 | 17 | 32 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 3 | 6 |
| Total | 1140 | 43 | 1183 |
| Status | Error | Program |
|---|---|---|
| 44.1b | (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) | |
| 44.2b | (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) | |
| ✓ | 44.1b | (/.f64 83333333333333/1000000000000000 x) |
| 44.4b | (-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) | |
| 15.4b | (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)) | |
| 9.3b | (+.f64 (+.f64 (-.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 x -1/2)) (log.f64 x)) -1) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 15.5b | (+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 23.0b | (+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (/.f64 (-.f64 1/4 (*.f64 x x)) (-.f64 1/2 x))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 32.6b | (+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 9.3b | (+.f64 (+.f64 (-.f64 (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) x) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 23.0b | (+.f64 (+.f64 (-.f64 (*.f64 (/.f64 1 (-.f64 -1/2 x)) (*.f64 (log.f64 x) (-.f64 1/4 (*.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 30.2b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) | |
| ✓ | 15.4b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
| 9.3b | (+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 31.5b | (+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (*.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y))) | |
| 15.4b | (+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (*.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 33.4b | (+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log1p.f64 (-.f64 x 1))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 15.3b | (+.f64 (+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (+.f64 (exp.f64 (log1p.f64 x)) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 16.5b | (+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 44.6b | (+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 21.0b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 z (/.f64 (/.f64 x (+.f64 7936500793651/10000000000000000 y)) z))) | |
| 16.5b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 19.8b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x)))) | |
| 27.9b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z)) | |
| 26.2b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 z (/.f64 z x)) y)) | |
| 27.2b | (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 y (/.f64 z x)) z)) | |
| 37.8b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)) | |
| 44.6b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x))) | |
| 35.1b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)) | |
| 40.3b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 35.9b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) | |
| 44.5b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) | |
| 39.6b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) | |
| 53.6b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) | |
| 44.6b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))) | |
| ✓ | 44.6b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
| 33.9b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))) | |
| 26.9b | (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) | |
| 53.9b | (+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) | |
| 15.2b | (+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) (expm1.f64 (log1p.f64 x))))) | |
| 51.5b | (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) | |
| 44.1b | (*.f64 (/.f64 1 x) 83333333333333/1000000000000000) | |
| 54.6b | (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
Compiled 836 to 632 computations (24.4% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 y (/.f64 z x)) z)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 z (/.f64 z x)) y)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (*.f64 x 1000000000000000/83333333333333))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 z (/.f64 (/.f64 x (+.f64 7936500793651/10000000000000000 y)) z))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 y x) (*.f64 z z))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log1p.f64 (-.f64 x 1))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))) |
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (/.f64 1 (-.f64 -1/2 x)) (*.f64 (log.f64 x) (-.f64 1/4 (*.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) |
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (*.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (*.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (/.f64 1 (neg.f64 x)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (*.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) x) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 x -1/2)) (log.f64 x)) -1) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (*.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) |
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (*.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) |
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (/.f64 (-.f64 1/4 (*.f64 x x)) (-.f64 1/2 x))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)) |
(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (+.f64 (exp.f64 (log1p.f64 x)) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x))) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (/.f64 (+.f64 (log.f64 x) 1) x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 2) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) 3) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (+.f64 (exp.f64 (log1p.f64 x)) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) (-.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) (expm1.f64 (log1p.f64 x))))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))) |
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 y (/.f64 x (*.f64 z z))) (fma.f64 (log.f64 x) (-.f64 1/2 x) (expm1.f64 (log1p.f64 x))))) |
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (/.f64 x (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) -1)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 -1/2 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x))) |
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)))) |
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (log.f64 x) (-.f64 1/2 x) (expm1.f64 (log1p.f64 x))))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x))) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 z (/.f64 z x)) y)) |
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (log.f64 x) (-.f64 1/2 x) (expm1.f64 (log1p.f64 x))))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 z (/.f64 (/.f64 x (+.f64 7936500793651/10000000000000000 y)) z))) |
7 calls:
| 242.0ms | y |
| 225.0ms | x |
| 177.0ms | z |
| 135.0ms | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 123.0ms | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 2 | x |
| 8.1b | 3 | y |
| 0.2b | 3 | z |
| 0.2b | 3 | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| 0.2b | 3 | (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) |
| 0.2b | 3 | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 9.1b | 1 | (+.f64 y 7936500793651/10000000000000000) |
Compiled 2191 to 1385 computations (36.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.6407677564448744e+305 | 1.7344705188836696e+306 |
| 0.0ms | -4.498910959015318e+307 | -1.3188259447133205e+293 |
Compiled 33 to 25 computations (24.2% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 y (/.f64 z x)) z)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 z (/.f64 z x)) y)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (*.f64 x 1000000000000000/83333333333333))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 z (/.f64 (/.f64 x (+.f64 7936500793651/10000000000000000 y)) z))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 y x) (*.f64 z z))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log1p.f64 (-.f64 x 1))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))) |
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (/.f64 1 (-.f64 -1/2 x)) (*.f64 (log.f64 x) (-.f64 1/4 (*.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) |
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (*.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (*.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (/.f64 1 (neg.f64 x)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (*.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) x) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 x -1/2)) (log.f64 x)) -1) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (*.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) |
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (*.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) |
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (/.f64 (-.f64 1/4 (*.f64 x x)) (-.f64 1/2 x))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)) |
(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (+.f64 (exp.f64 (log1p.f64 x)) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x))) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (/.f64 (+.f64 (log.f64 x) 1) x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 2) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) 3) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (+.f64 (exp.f64 (log1p.f64 x)) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) (-.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) (expm1.f64 (log1p.f64 x))))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))) |
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 y (/.f64 x (*.f64 z z))) (fma.f64 (log.f64 x) (-.f64 1/2 x) (expm1.f64 (log1p.f64 x))))) |
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (/.f64 x (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) -1)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 -1/2 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x))) |
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)))) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 z (/.f64 z x)) y)) |
(+.f64 (+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (+.f64 (exp.f64 (log1p.f64 x)) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 z (/.f64 (/.f64 x (+.f64 7936500793651/10000000000000000 y)) z))) |
7 calls:
| 203.0ms | z |
| 199.0ms | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 192.0ms | x |
| 191.0ms | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| 189.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 2 | x |
| 8.1b | 3 | y |
| 0.3b | 3 | z |
| 0.3b | 3 | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| 0.3b | 3 | (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) |
| 0.3b | 3 | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 9.2b | 1 | (+.f64 y 7936500793651/10000000000000000) |
Compiled 2098 to 1323 computations (36.9% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.6407677564448744e+305 | 1.7344705188836696e+306 |
| 0.0ms | -4.498910959015318e+307 | -1.3188259447133205e+293 |
Compiled 33 to 25 computations (24.2% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 y (/.f64 z x)) z)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 z (/.f64 z x)) y)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (*.f64 x 1000000000000000/83333333333333))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 z (/.f64 (/.f64 x (+.f64 7936500793651/10000000000000000 y)) z))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 y x) (*.f64 z z))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log1p.f64 (-.f64 x 1))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))) |
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (/.f64 1 (-.f64 -1/2 x)) (*.f64 (log.f64 x) (-.f64 1/4 (*.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) |
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (*.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (*.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (/.f64 1 (neg.f64 x)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (*.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) x) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 x -1/2)) (log.f64 x)) -1) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (*.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) |
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (*.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) |
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (/.f64 (-.f64 1/4 (*.f64 x x)) (-.f64 1/2 x))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)) |
(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (+.f64 (exp.f64 (log1p.f64 x)) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x))) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (/.f64 (+.f64 (log.f64 x) 1) x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 2) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000)) 3) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 z (/.f64 z x)) y)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 z (/.f64 (/.f64 x (+.f64 7936500793651/10000000000000000 y)) z))) |
7 calls:
| 113.0ms | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 103.0ms | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| 103.0ms | z |
| 103.0ms | y |
| 72.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 2 | x |
| 8.2b | 3 | y |
| 0.3b | 3 | z |
| 0.3b | 3 | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| 0.3b | 3 | (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) |
| 0.3b | 3 | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 9.3b | 1 | (+.f64 y 7936500793651/10000000000000000) |
Compiled 1643 to 1035 computations (37% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.6407677564448744e+305 | 1.7344705188836696e+306 |
| 0.0ms | -4.498910959015318e+307 | -1.3188259447133205e+293 |
Compiled 33 to 25 computations (24.2% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 y (/.f64 z x)) z)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 z (/.f64 z x)) y)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (*.f64 x 1000000000000000/83333333333333))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 z (/.f64 (/.f64 x (+.f64 7936500793651/10000000000000000 y)) z))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 y x) (*.f64 z z))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x)))) |
6 calls:
| 63.0ms | z |
| 61.0ms | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 43.0ms | y |
| 43.0ms | x |
| 24.0ms | (+.f64 y 7936500793651/10000000000000000) |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 2 | x |
| 9.3b | 2 | y |
| 1.5b | 3 | z |
| 1.3b | 3 | (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) |
| 1.3b | 3 | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 9.3b | 2 | (+.f64 y 7936500793651/10000000000000000) |
Compiled 787 to 475 computations (39.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 7880.886124092184 | 29393.478395718146 |
| 13.0ms | 80× | body | 256 | valid |
| 1.0ms | 9× | body | 256 | infinite |
Compiled 273 to 205 computations (24.9% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 y (/.f64 z x)) z)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 z (/.f64 z x)) y)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (*.f64 x 1000000000000000/83333333333333))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 z (/.f64 (/.f64 x (+.f64 7936500793651/10000000000000000 y)) z))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 y x) (*.f64 z z))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (*.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x)))) |
6 calls:
| 70.0ms | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 57.0ms | z |
| 40.0ms | x |
| 38.0ms | y |
| 27.0ms | (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 2 | x |
| 10.2b | 2 | y |
| 2.3b | 3 | z |
| 1.4b | 3 | (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) |
| 1.4b | 3 | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 10.2b | 2 | (+.f64 y 7936500793651/10000000000000000) |
Compiled 697 to 415 computations (40.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 7880.886124092184 | 29393.478395718146 |
| 12.0ms | 80× | body | 256 | valid |
| 1.0ms | 6× | body | 256 | infinite |
Compiled 263 to 200 computations (24% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 y (/.f64 z x)) z)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 z (/.f64 z x)) y)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (*.f64 x 1000000000000000/83333333333333))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 z (/.f64 (/.f64 x (+.f64 7936500793651/10000000000000000 y)) z))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 y x) (*.f64 z z))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y))) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x)))) |
3 calls:
| 64.0ms | y |
| 52.0ms | z |
| 34.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 2.1b | 2 | x |
| 10.1b | 3 | y |
| 2.3b | 3 | z |
Compiled 565 to 330 computations (41.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.0004022289694830737 | 0.001944210401231766 |
| 15.0ms | 96× | body | 256 | valid |
| 3.0ms | 17× | body | 256 | infinite |
Compiled 297 to 223 computations (24.9% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 y (/.f64 z x)) z)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 z (/.f64 z x)) y)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (*.f64 x 1000000000000000/83333333333333))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 y (/.f64 z x)) z)) |
3 calls:
| 66.0ms | z |
| 54.0ms | x |
| 28.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 3.8b | 4 | x |
| 12.5b | 2 | y |
| 5.3b | 5 | z |
Compiled 403 to 248 computations (38.5% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 5.6593589844718686e+172 | 1.8938616014656543e+175 |
| 25.0ms | 1.1111374094584412e+77 | 6.260973829761354e+79 |
| 15.0ms | 7880.886124092184 | 29393.478395718146 |
| 40.0ms | 256× | body | 256 | valid |
| 3.0ms | 22× | body | 256 | infinite |
Compiled 683 to 499 computations (26.9% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 y (/.f64 z x)) z)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 z (/.f64 z x)) y)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (*.f64 x 1000000000000000/83333333333333))) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (*.f64 x 1000000000000000/83333333333333))) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z)) |
3 calls:
| 62.0ms | z |
| 49.0ms | x |
| 26.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 5.6b | 4 | x |
| 12.5b | 2 | y |
| 5.3b | 5 | z |
Compiled 367 to 223 computations (39.2% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 2.6110359098974406e+143 | 1.131443082280786e+157 |
| 24.0ms | 4.125355467854403e-36 | 7.181721550993356e-33 |
| 25.0ms | -1.1463954716253568e-64 | -3.788109971396687e-74 |
| 28.0ms | -9.861448149135832e+161 | -1.375243340078738e+148 |
| 80.0ms | 512× | body | 256 | valid |
| 42.0ms | 254× | body | 256 | infinite |
Compiled 1313 to 970 computations (26.1% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 y (/.f64 z x)) z)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 z (/.f64 z x)) y)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z)) |
3 calls:
| 60.0ms | z |
| 49.0ms | x |
| 25.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 5.6b | 4 | x |
| 12.5b | 2 | y |
| 5.3b | 5 | z |
Compiled 351 to 212 computations (39.6% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 59.0ms | 2.6110359098974406e+143 | 1.131443082280786e+157 |
| 24.0ms | 4.125355467854403e-36 | 7.181721550993356e-33 |
| 65.0ms | -1.1463954716253568e-64 | -3.788109971396687e-74 |
| 80.0ms | -9.861448149135832e+161 | -1.375243340078738e+148 |
| 152.0ms | 592× | body | 256 | valid |
| 65.0ms | 369× | body | 256 | infinite |
Compiled 1479 to 1081 computations (26.9% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 y (/.f64 z x)) z)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 z (/.f64 z x)) y)) |
| Outputs |
|---|
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 y (/.f64 z x)) z)) |
3 calls:
| 50.0ms | z |
| 29.0ms | x |
| 20.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 6.8b | 3 | x |
| 12.5b | 2 | y |
| 6.0b | 5 | z |
Compiled 255 to 158 computations (38% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 43.0ms | 2.140052911527069e+138 | 2.6110359098974406e+143 |
| 23.0ms | 4.125355467854403e-36 | 7.181721550993356e-33 |
| 27.0ms | -1.1463954716253568e-64 | -3.788109971396687e-74 |
| 57.0ms | -9.861448149135832e+161 | -1.375243340078738e+148 |
| 93.0ms | 576× | body | 256 | valid |
| 46.0ms | 293× | body | 256 | infinite |
Compiled 1419 to 1013 computations (28.6% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
| Outputs |
|---|
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
3 calls:
| 44.0ms | z |
| 29.0ms | x |
| 21.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 6.8b | 3 | x |
| 12.5b | 2 | y |
| 6.0b | 5 | z |
Compiled 223 to 141 computations (36.8% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 45.0ms | 2.140052911527069e+138 | 2.6110359098974406e+143 |
| 49.0ms | 4.125355467854403e-36 | 7.181721550993356e-33 |
| 56.0ms | -1.1463954716253568e-64 | -3.788109971396687e-74 |
| 80.0ms | -9.861448149135832e+161 | -1.375243340078738e+148 |
| 152.0ms | 576× | body | 256 | valid |
| 69.0ms | 263× | body | 256 | infinite |
Compiled 1401 to 995 computations (29% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)) |
| Outputs |
|---|
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
3 calls:
| 41.0ms | z |
| 18.0ms | x |
| 17.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 11.5b | 2 | x |
| 12.5b | 2 | y |
| 9.1b | 5 | z |
Compiled 175 to 116 computations (33.7% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 4.125355467854403e-36 | 7.181721550993356e-33 |
| 25.0ms | -1.1463954716253568e-64 | -3.788109971396687e-74 |
| 19.0ms | -350030.36921360035 | -78627.07634311677 |
| 35.0ms | -1.5150038024717697e+56 | -1.6088576282763992e+46 |
| 90.0ms | 528× | body | 256 | valid |
| 7.0ms | 42× | body | 256 | infinite |
Compiled 1173 to 835 computations (28.8% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
| Outputs |
|---|
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) |
3 calls:
| 37.0ms | z |
| 25.0ms | x |
| 15.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 11.8b | 2 | x |
| 13.4b | 2 | y |
| 10.3b | 5 | z |
Compiled 147 to 98 computations (33.3% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 4.125355467854403e-36 | 7.181721550993356e-33 |
| 25.0ms | -1.1463954716253568e-64 | -3.788109971396687e-74 |
| 18.0ms | -350030.36921360035 | -78627.07634311677 |
| 33.0ms | -1.5150038024717697e+56 | -1.6088576282763992e+46 |
| 84.0ms | 528× | body | 256 | valid |
| 7.0ms | 46× | body | 256 | infinite |
Compiled 1139 to 818 computations (28.2% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
3 calls:
| 27.0ms | z |
| 20.0ms | y |
| 19.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 15.3b | 3 | x |
| 15.3b | 3 | y |
| 14.2b | 3 | z |
Compiled 119 to 84 computations (29.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | -5.099428846869399e-12 | -2.4049020003921215e-13 |
| 24.0ms | -1.5353642900004493e+124 | -4.594333522995691e+123 |
| 30.0ms | 192× | body | 256 | valid |
| 12.0ms | 78× | body | 256 | infinite |
Compiled 405 to 313 computations (22.7% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
| Outputs |
|---|
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
3 calls:
| 17.0ms | z |
| 16.0ms | x |
| 16.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 38.0b | 3 | x |
| 41.2b | 2 | y |
| 36.7b | 3 | z |
Compiled 83 to 61 computations (26.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 4.125355467854403e-36 | 7.181721550993356e-33 |
| 27.0ms | -3.788109971396687e-74 | -9.847141219039397e-80 |
| 41.0ms | 272× | body | 256 | valid |
| 2.0ms | 10× | body | 256 | infinite |
Compiled 441 to 348 computations (21.1% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) |
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
| Outputs |
|---|
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(/.f64 83333333333333/1000000000000000 x) |
(+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
3 calls:
| 14.0ms | x |
| 13.0ms | z |
| 13.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 38.2b | 3 | x |
| 41.3b | 2 | y |
| 36.7b | 3 | z |
Compiled 50 to 36 computations (28% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 4.125355467854403e-36 | 7.181721550993356e-33 |
| 26.0ms | -3.788109971396687e-74 | -9.847141219039397e-80 |
| 46.0ms | 272× | body | 256 | valid |
| 1.0ms | 9× | body | 256 | infinite |
Compiled 407 to 314 computations (22.9% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) |
| Outputs |
|---|
(+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) |
(/.f64 83333333333333/1000000000000000 x) |
(+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) |
3 calls:
| 12.0ms | z |
| 8.0ms | x |
| 7.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 39.7b | 2 | x |
| 41.3b | 2 | y |
| 39.1b | 3 | z |
Compiled 39 to 29 computations (25.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 4.125355467854403e-36 | 7.181721550993356e-33 |
| 27.0ms | -3.788109971396687e-74 | -9.847141219039397e-80 |
| 44.0ms | 272× | body | 256 | valid |
| 9.0ms | 10× | body | 256 | infinite |
Compiled 373 to 280 computations (24.9% saved)
Total -0.4b remaining (-0.8%)
Threshold costs -0.4b (-0.8%)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
| Outputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
3 calls:
| 5.0ms | y |
| 3.0ms | z |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 44.1b | 1 | x |
| 44.1b | 1 | y |
| 44.1b | 1 | z |
Compiled 30 to 24 computations (20% saved)
| 1× | egg-herbie |
| 78× | +-commutative |
| 46× | *-commutative |
| 22× | sub-neg |
| 12× | if-if-or-not |
| 8× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 199 | 3304 |
| 1 | 287 | 3304 |
| 2 | 302 | 3304 |
| 3 | 311 | 3304 |
| 4 | 316 | 3304 |
| 5 | 317 | 3304 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) -39999999999999999441242390410258310868010567352505455500998642943534263410690975396259385656915842667145517121570618461573412691401008413345103809482461588042922766658757500714276159404292585358566493064284506880044080678213216074385831250754247788804685953844691687288556267719405128488010706671000084283392) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 z (/.f64 z x)) y)) (if (<=.f64 (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104) (+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (log.f64 x) (-.f64 1/2 x) (expm1.f64 (log1p.f64 x))))) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 z (/.f64 (/.f64 x (+.f64 7936500793651/10000000000000000 y)) z))))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) -39999999999999999441242390410258310868010567352505455500998642943534263410690975396259385656915842667145517121570618461573412691401008413345103809482461588042922766658757500714276159404292585358566493064284506880044080678213216074385831250754247788804685953844691687288556267719405128488010706671000084283392) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 z (/.f64 z x)) y)) (if (<=.f64 (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104) (+.f64 (+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (+.f64 (exp.f64 (log1p.f64 x)) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 z (/.f64 (/.f64 x (+.f64 7936500793651/10000000000000000 y)) z))))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) -39999999999999999441242390410258310868010567352505455500998642943534263410690975396259385656915842667145517121570618461573412691401008413345103809482461588042922766658757500714276159404292585358566493064284506880044080678213216074385831250754247788804685953844691687288556267719405128488010706671000084283392) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 z (/.f64 z x)) y)) (if (<=.f64 (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 z (/.f64 (/.f64 x (+.f64 7936500793651/10000000000000000 y)) z))))) |
(if (<=.f64 x 8000) (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))))) |
(if (<=.f64 x 8000) (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))))) |
(if (<=.f64 x 8854437155380585/4611686018427387904) (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))))) |
(if (<=.f64 x 8000) (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) (if (<=.f64 x 182000000000000007922169260551199355009599908686707638900991316022031007350784) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (if (<=.f64 x 4999999999999999685767262311684382050136653779948436637603125339225962301342551691018788391909545423367274411147450016581056025920228934414807060620089030981692445981711269888) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z)) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 y (/.f64 z x)) z))))) |
(if (<=.f64 z -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z)) (if (<=.f64 z -407588154115353/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (if (<=.f64 z 2228789996929627/365375409332725729550921208179070754913983135744) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (*.f64 x 1000000000000000/83333333333333))) (if (<=.f64 z 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z)))))) |
(if (<=.f64 z -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z)) (if (<=.f64 z -1659995391306165/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (if (<=.f64 z 2374940160662717/365375409332725729550921208179070754913983135744) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (if (<=.f64 z 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 (/.f64 7936500793651/10000000000000000 x) z) z)))))) |
(if (<=.f64 z -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) (if (<=.f64 z -407588154115353/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (if (<=.f64 z 319703483166135/45671926166590716193865151022383844364247891968) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (if (<=.f64 z 259999999999999988844626824994194520561162410341184222265369175955408136865427970026343009551021512473789913823926067071011218915399097278005248) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (*.f64 (*.f64 y (/.f64 z x)) z)))))) |
(if (<=.f64 z -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) (if (<=.f64 z -407588154115353/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (if (<=.f64 z 319703483166135/45671926166590716193865151022383844364247891968) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (if (<=.f64 z 259999999999999988844626824994194520561162410341184222265369175955408136865427970026343009551021512473789913823926067071011218915399097278005248) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))))))) |
(if (<=.f64 z -16200000000000000953691572574054442232438587392) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) (if (<=.f64 z -350000) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (if (<=.f64 z -1408031805125765/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) (if (<=.f64 z 496910556692507/2923003274661805836407369665432566039311865085952) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))))))) |
(if (<=.f64 z -16200000000000000953691572574054442232438587392) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) (if (<=.f64 z -350000) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (if (<=.f64 z -407588154115353/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) (if (<=.f64 z 7716728645107167/46768052394588893382517914646921056628989841375232) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))))))) |
(if (<=.f64 z -8499999999999999737142787005252813823946597879890051302342628589246180012960796171280333715321301011079845238079064509513728) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (if (<=.f64 z -6189700196426901/1237940039285380274899124224) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)))) |
(if (<=.f64 z -1018517988167243/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (if (<=.f64 z 6313687073269501/46768052394588893382517914646921056628989841375232) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))))) |
(if (<=.f64 z -5983793180482553/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (if (<=.f64 z 319703483166135/45671926166590716193865151022383844364247891968) (/.f64 83333333333333/1000000000000000 x) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))))) |
(if (<=.f64 z -4710645695273499/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) (if (<=.f64 z 1973027210396719/730750818665451459101842416358141509827966271488) (/.f64 83333333333333/1000000000000000 x) (+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))))) |
(/.f64 83333333333333/1000000000000000 x) |
| Outputs |
|---|
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(if (<=.f64 z -16200000000000000953691572574054442232438587392) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) (if (<=.f64 z -350000) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (if (<=.f64 z -407588154115353/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) (if (<=.f64 z 7716728645107167/46768052394588893382517914646921056628989841375232) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))))))) |
(if (<=.f64 z -16200000000000000953691572574054442232438587392) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) (if (<=.f64 z -350000) (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 (*.f64 z z) x))) (if (or (<=.f64 z -407588154115353/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (not (<=.f64 z 7716728645107167/46768052394588893382517914646921056628989841375232))) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 y (/.f64 (/.f64 x z) z))) (+.f64 (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))) (/.f64 83333333333333/1000000000000000 x))))) |
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(if (<=.f64 z -1018517988167243/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (if (<=.f64 z 6313687073269501/46768052394588893382517914646921056628989841375232) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))))) |
(if (or (<=.f64 z -1018517988167243/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (not (<=.f64 z 6313687073269501/46768052394588893382517914646921056628989841375232))) (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 (*.f64 z z) x))) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) |
(if (<=.f64 z -5983793180482553/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (if (<=.f64 z 319703483166135/45671926166590716193865151022383844364247891968) (/.f64 83333333333333/1000000000000000 x) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))))) |
(if (or (<=.f64 z -5983793180482553/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (not (<=.f64 z 319703483166135/45671926166590716193865151022383844364247891968))) (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 (*.f64 z z) x))) (/.f64 83333333333333/1000000000000000 x)) |
(if (<=.f64 z -4710645695273499/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) (if (<=.f64 z 1973027210396719/730750818665451459101842416358141509827966271488) (/.f64 83333333333333/1000000000000000 x) (+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))))) |
(if (or (<=.f64 z -4710645695273499/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (not (<=.f64 z 1973027210396719/730750818665451459101842416358141509827966271488))) (+.f64 91893853320467/100000000000000 (/.f64 y (/.f64 (/.f64 x z) z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 83333333333333/1000000000000000 x) |
Compiled 1211 to 793 computations (34.5% saved)
| 4× | egg-herbie |
| 1570× | fma-def |
| 1402× | associate-+l- |
| 1368× | associate-+r- |
| 1304× | associate-*r/ |
| 1230× | associate-/l* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 464 | 10494 |
| 1 | 1143 | 9342 |
| 2 | 4656 | 9340 |
| 0 | 583 | 10065 |
| 1 | 1746 | 9803 |
| 0 | 23 | 63 |
| 1 | 46 | 63 |
| 2 | 102 | 61 |
| 3 | 243 | 59 |
| 4 | 636 | 59 |
| 5 | 1650 | 59 |
| 6 | 3448 | 59 |
| 7 | 5525 | 59 |
| 8 | 7188 | 59 |
| 0 | 358 | 7488 |
| 1 | 874 | 6956 |
| 2 | 3770 | 6520 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 1006 to 682 computations (32.2% saved)
Compiled 1160 to 682 computations (41.2% saved)
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