Time bar (total: 17.4s)
| 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)
| 1.8s | 8256× | body | 256 | valid |
| 471.0ms | 2078× | body | 256 | infinite |
| 303.0ms | 1591× | 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)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 | 3 | 6 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 3 | 4 | 7 |
| Status | Error | Program |
|---|---|---|
| ▶ | 5.8b | (+.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)) |
| ▶ | 5.8b | (+.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)) |
| ▶ | 5.8b | (+.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)) |
Compiled 76 to 55 computations (27.6% saved)
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 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) |
| ✓ | 0.2b | (*.f64 (+.f64 x -1/2) (log.f64 x)) |
| ✓ | 5.5b | (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
Compiled 91 to 57 computations (37.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | (*.f64 (+.f64 x -1/2) (log.f64 x)) |
| 2.0ms | x | @ | -inf | (*.f64 (+.f64 x -1/2) (log.f64 x)) |
| 1.0ms | x | @ | inf | (*.f64 (+.f64 x -1/2) (log.f64 x)) |
| 1.0ms | y | @ | -inf | (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
| 1.0ms | x | @ | 0 | (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
| 1× | batch-egg-rewrite |
| 1152× | associate-/r* |
| 478× | add-sqr-sqrt |
| 456× | pow1 |
| 456× | *-un-lft-identity |
| 450× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 98 |
| 1 | 466 | 98 |
| 2 | 6022 | 98 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
(*.f64 (+.f64 x -1/2) (log.f64 x)) |
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) |
(-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) |
| 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 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (/.f64 -1 x))))) 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(pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 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 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((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 x))))) (#(struct:change #<rule egg-rr> (2) ((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 x)))))) |
| 1× | egg-herbie |
| 1474× | associate-+l- |
| 1386× | associate-+r- |
| 834× | associate--r+ |
| 636× | fma-def |
| 424× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 558 | 12303 |
| 1 | 1369 | 10949 |
| 2 | 5384 | 10947 |
| 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 -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)))) |
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(*.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 x))) |
(/.f64 1 (/.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x)) (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x))) (neg.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x)) 1) (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.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 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x)) (*.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))) |
(pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 3) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2)) |
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))) |
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))) |
(exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))) |
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(fma.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 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 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 x)) |
| Outputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 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 (/.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 (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 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 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))) |
(+.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 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 y 7936500793651/10000000000000000))) |
(+.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 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 y 7936500793651/10000000000000000))) |
(/.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 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 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))) |
(+.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 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 y 7936500793651/10000000000000000))) |
(+.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 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 y 7936500793651/10000000000000000))) |
(/.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 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z) (+.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 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z) (+.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 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z) (+.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))) |
(+.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 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.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))) |
(+.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 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.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))) |
(+.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 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z) (+.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))) |
(+.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 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.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))) |
(+.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 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.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))) |
(+.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 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) |
(/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -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 y 7936500793651/10000000000000000) -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 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
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(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 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 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 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 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 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 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 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 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 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 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 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 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 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 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 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 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 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))) |
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 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 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 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 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 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 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x)) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (neg.f64 x) 1)) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (neg.f64 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (+.f64 (neg.f64 x) x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (*.f64 0 x)) x) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (neg.f64 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (+.f64 (neg.f64 x) x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (*.f64 0 x)) x) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (neg.f64 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) x) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (neg.f64 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) x) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (neg.f64 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) x) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (neg.f64 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) x) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 x) 1 x)) |
(+.f64 (neg.f64 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (+.f64 (neg.f64 x) x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (*.f64 0 x)) x) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (neg.f64 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) x) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(+.f64 (neg.f64 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) x) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 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 2 (+.f64 (neg.f64 x) x))) |
(fma.f64 2 (*.f64 0 x) (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (+.f64 (neg.f64 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (+.f64 (neg.f64 x) x))) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (-.f64 (*.f64 0 x) x) (fma.f64 (log.f64 x) (+.f64 x -1/2) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 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 (+.f64 (neg.f64 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (+.f64 (neg.f64 x) x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(+.f64 (-.f64 (*.f64 0 x) x) (fma.f64 (log.f64 x) (+.f64 x -1/2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (+.f64 (neg.f64 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (+.f64 (neg.f64 x) x))) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (-.f64 (*.f64 0 x) x) (fma.f64 (log.f64 x) (+.f64 x -1/2) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 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 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 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 (+.f64 (neg.f64 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (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 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) x)) |
(-.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 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 (+.f64 (neg.f64 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (+.f64 (neg.f64 x) x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(+.f64 (-.f64 (*.f64 0 x) x) (fma.f64 (log.f64 x) (+.f64 x -1/2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 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 (+.f64 (neg.f64 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (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 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) x)) |
(-.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 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 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(fma.f64 2 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)) |
(+.f64 (neg.f64 x) (*.f64 (+.f64 x -1/2) (log.f64 x))) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) |
(+.f64 (neg.f64 x) (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (neg.f64 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (+.f64 (neg.f64 x) x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (*.f64 0 x)) x) |
(+.f64 (neg.f64 x) (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (neg.f64 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) x) |
(+.f64 (neg.f64 x) (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (neg.f64 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) x) |
(+.f64 (*.f64 (log.f64 x) x) (+.f64 (*.f64 (log.f64 x) -1/2) (neg.f64 x))) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) |
(+.f64 (*.f64 (log.f64 x) x) (+.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (neg.f64 x) 1))) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) |
(+.f64 (*.f64 (log.f64 x) x) (-.f64 (*.f64 (log.f64 x) -1/2) x)) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) |
(+.f64 (*.f64 (log.f64 x) -1/2) (+.f64 (*.f64 (log.f64 x) x) (neg.f64 x))) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) |
(+.f64 (*.f64 (log.f64 x) -1/2) (+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 x) 1))) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) |
(+.f64 (*.f64 (log.f64 x) -1/2) (-.f64 (*.f64 (log.f64 x) x) x)) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) |
(+.f64 (*.f64 x (log.f64 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (neg.f64 x))) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) |
(+.f64 (*.f64 x (log.f64 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (neg.f64 x) 1))) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
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(+.f64 (*.f64 x (log.f64 x)) (-.f64 (*.f64 -1/2 (log.f64 x)) x)) |
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(sqrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) |
(fabs.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)) |
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 x))) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) |
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) |
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) |
(exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 1)) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) |
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) |
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) |
(fma.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x)) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 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 x)) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 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 x)) |
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 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 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) |
| ✓ | 0.2b | (*.f64 (-.f64 x 1/2) (log.f64 x)) |
| ✓ | 5.5b | (/.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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) |
| 0.0ms | y | @ | 0 | (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) |
| 0.0ms | y | @ | -inf | (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) |
| 0.0ms | z | @ | inf | (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) |
| 0.0ms | z | @ | -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 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) |
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) |
| Outputs |
|---|
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(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 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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 log1p.f64 (expm1.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 (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 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) (log.f64 x)) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 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 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1)))))) |
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3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 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 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 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 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((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 x))))) (#(struct:change #<rule egg-rr> (2) ((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 x)))))) |
| 1× | egg-herbie |
| 1398× | associate-+l- |
| 1364× | associate-+r- |
| 878× | associate--r+ |
| 682× | associate--l+ |
| 632× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 464 | 10494 |
| 1 | 1144 | 9342 |
| 2 | 4654 | 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) |
(+.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 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 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 -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 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (log.f64 x) 1) x))) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (log.f64 x) 1) x))) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.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 -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) |
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(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))) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x)) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (neg.f64 x) 1)) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 x) 1 x)) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x)) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 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 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 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 (+.f64 x -1/2) (log.f64 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 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))) |
(+.f64 (neg.f64 x) (*.f64 (+.f64 x -1/2) (log.f64 x))) |
(+.f64 (neg.f64 x) (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (neg.f64 x) (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (neg.f64 x) (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))) |
(+.f64 (*.f64 (log.f64 x) x) (+.f64 (*.f64 (log.f64 x) -1/2) (neg.f64 x))) |
(+.f64 (*.f64 (log.f64 x) x) (+.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (neg.f64 x) 1))) |
(+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (+.f64 x -1/2) (log.f64 x))) |
(+.f64 (*.f64 x (log.f64 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (neg.f64 x))) |
(+.f64 (*.f64 x (log.f64 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (neg.f64 x) 1))) |
(+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) |
(+.f64 (+.f64 (neg.f64 x) (*.f64 (log.f64 x) x)) (*.f64 (log.f64 x) -1/2)) |
(+.f64 (+.f64 (neg.f64 x) (*.f64 x (log.f64 x))) (*.f64 -1/2 (log.f64 x))) |
(*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 1) |
(*.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) |
(*.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)))) |
(*.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2)) |
(*.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)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 x))) |
(/.f64 1 (/.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x)) (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x))) (neg.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))) |
(pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 3) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2)) |
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))) |
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))) |
(exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))) |
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(fma.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 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 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 x)) |
| 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 y (/.f64 x (*.f64 z z))) (+.f64 (/.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 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z))) |
(+.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.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 y (/.f64 x (*.f64 z z))) (+.f64 (/.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 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z))) |
(+.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.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 y (/.f64 x (*.f64 z z))) (+.f64 (/.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 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z))) |
(+.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 y (/.f64 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))) |
(+.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 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z))) |
(+.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.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 y (/.f64 x (*.f64 z z))) (+.f64 (/.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 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z))) |
(+.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.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 y (/.f64 x (*.f64 z z))) (+.f64 (/.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 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z))) |
(+.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 y (/.f64 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))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))) |
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(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(*.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 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) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(*.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)))) |
(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 x -1/2) (neg.f64 x)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) 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 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 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 (+.f64 x -1/2) (log.f64 x) 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 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 x))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)))) (-.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) (sqrt.f64 x))) |
(/.f64 1 (/.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) 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 1 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)))) |
(*.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 (+.f64 x -1/2) (log.f64 x) 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 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x)) (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) 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 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 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 (+.f64 x -1/2) (log.f64 x) 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 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) 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 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 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 (*.f64 x x) (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) (neg.f64 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) (fma.f64 x x (*.f64 (log.f64 x) (*.f64 (+.f64 x -1/2) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x))) (neg.f64 (fma.f64 (+.f64 x -1/2) (log.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 (+.f64 x -1/2) (log.f64 x) 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)) (neg.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 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 (+.f64 x -1/2) (log.f64 x) 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 (+.f64 x -1/2) (log.f64 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) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 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) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 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) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 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) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 2)) |
(fabs.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) |
(fabs.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))) |
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (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) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 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 x -1/2) (neg.f64 x)) |
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 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) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 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 x -1/2) (neg.f64 x)) |
(exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 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 x -1/2) (neg.f64 x)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 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) |
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) |
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 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 x -1/2) (neg.f64 x)) |
(fma.f64 (+.f64 x -1/2) (log.f64 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 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) (*.f64 x (+.f64 (log.f64 x) -1))) |
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) |
(fma.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 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 x -1/2) (neg.f64 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 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 x -1/2) (neg.f64 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 x)) |
(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))) (neg.f64 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)) |
| 5.5b | (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
Compiled 78 to 50 computations (35.9% saved)
15 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 | z | @ | -inf | (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) |
| 0.0ms | z | @ | inf | (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) |
| 0.0ms | x | @ | inf | (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) |
| 1× | batch-egg-rewrite |
| 1404× | associate-*r/ |
| 1276× | associate-*l/ |
| 416× | add-sqr-sqrt |
| 394× | pow1 |
| 394× | *-un-lft-identity |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 63 |
| 1 | 409 | 63 |
| 2 | 4954 | 63 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 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 |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))))) |
((#(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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 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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 |
| 1446× | unswap-sqr |
| 738× | associate-+l+ |
| 640× | associate-+r+ |
| 572× | +-commutative |
| 424× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 312 | 5933 |
| 1 | 791 | 5517 |
| 2 | 3003 | 4923 |
| 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)))))))) |
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))) |
(+.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 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) |
(-.f64 (+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) 13888888888889/5000000000000000) |
(-.f64 (+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) 13888888888889/5000000000000000) |
(-.f64 (+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) 13888888888889/5000000000000000) |
(*.f64 y z) |
(-.f64 (+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) 13888888888889/5000000000000000) |
(-.f64 (+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) 13888888888889/5000000000000000) |
(-.f64 (+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) 13888888888889/5000000000000000) |
(*.f64 y z) |
(-.f64 (+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) 13888888888889/5000000000000000) |
(-.f64 (+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) 13888888888889/5000000000000000) |
(-.f64 (+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z)) 13888888888889/5000000000000000) |
-13888888888889/5000000000000000 |
(-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) |
(-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) |
(-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) |
(-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) |
(-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) |
(*.f64 z (+.f64 7936500793651/10000000000000000 y)) |
(-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) |
(-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) |
(-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) |
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 x) (*.f64 (+.f64 x -1/2) (log.f64 x)))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (+.f64 x -1/2) (log.f64 x)))) |
(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (+.f64 x -1/2) (log.f64 x))) |
(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1)) |
(+.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 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (*.f64 (neg.f64 x) 1)) |
(+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1) (-.f64 91893853320467/100000000000000 x)) |
(+.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x)) 91893853320467/100000000000000) |
(+.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1) 91893853320467/100000000000000) (neg.f64 x)) |
(+.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1) 91893853320467/100000000000000) (*.f64 (neg.f64 x) 1)) |
(+.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1) (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 91893853320467/100000000000000 (-.f64 x (*.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 (exp.f64 (log.f64 (-.f64 191893853320467/100000000000000 x))) (-.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x)))) |
(-.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 (+.f64 x -1/2) (log.f64 x)) 1) 91893853320467/100000000000000) 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 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1) (exp.f64 (log.f64 (-.f64 191893853320467/100000000000000 x)))) 1) |
(-.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x 91893853320467/100000000000000))) (/.f64 (*.f64 x x) (+.f64 x 91893853320467/100000000000000))) |
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(*.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 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (-.f64 91893853320467/100000000000000 x) 2)) (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 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 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 2) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (-.f64 91893853320467/100000000000000 x) 2))) (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 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 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 2) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (-.f64 91893853320467/100000000000000 x) 2)) 1) (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 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 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 2) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 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)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) |
(+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) |
(+.f64 83333333333333/1000000000000000 (*.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 1)) |
(+.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000) |
(+.f64 (*.f64 z (*.f64 z (+.f64 y 7936500793651/10000000000000000))) (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) |
(+.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) z) (+.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) |
(+.f64 (*.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 1) 83333333333333/1000000000000000) |
(+.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (*.f64 z (+.f64 y 7936500793651/10000000000000000)))) (*.f64 z -13888888888889/5000000000000000)) |
(+.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (*.f64 -13888888888889/5000000000000000 z)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) 1) |
(*.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 1) |
(*.f64 1 (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)) (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) |
(*.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) |
(/.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) (-.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000)) |
(/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3)) (+.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)))) |
(/.f64 (*.f64 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))) 6944444444444388888888888889/1000000000000000000000000000000)) (-.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000)) |
(/.f64 (*.f64 1 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3))) (+.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)))) |
(/.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 (*.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))) |
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(-.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) 91893853320467/100000000000000) x) |
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(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 3)) (fma.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 7936500793651/10000000000000000 y)))))) |
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 3)) (fma.f64 (*.f64 z z) (*.f64 (+.f64 7936500793651/10000000000000000 y) (+.f64 7936500793651/10000000000000000 y)) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (+.f64 7936500793651/10000000000000000 y))))) |
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 3)) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) 13888888888889/5000000000000000)))) |
(pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 1) |
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) |
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2) |
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) |
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3) |
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3) 1/3) |
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) |
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 2)) |
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) |
(log.f64 (exp.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) |
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))) |
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) |
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3)) |
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) |
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) |
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) |
(exp.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) |
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 1)) |
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) |
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) |
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) |
Compiled 29124 to 18554 computations (36.3% saved)
23 alts after pruning (23 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 920 | 23 | 943 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 0 | 2 |
| Total | 923 | 23 | 946 |
| Status | Error | Program |
|---|---|---|
| ▶ | 10.5b | (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) |
| 28.7b | (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (*.f64 (*.f64 z z) y) x)) | |
| 22.1b | (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (log.f64 (exp.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) x)) | |
| 10.5b | (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x)) | |
| ▶ | 5.9b | (+.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)) |
| 6.3b | (+.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)) | |
| ▶ | 6.7b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| 5.9b | (+.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)) | |
| 23.5b | (+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| ▶ | 5.8b | (+.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)) |
| 5.8b | (+.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)) | |
| 11.1b | (+.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)) | |
| 6.2b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3)) | |
| 5.9b | (+.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))) | |
| 15.5b | (+.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) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))) | |
| 27.2b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) | |
| ▶ | 10.5b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
| 10.5b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) | |
| 10.5b | (+.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)))) | |
| 23.8b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) | |
| 11.0b | (+.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))) | |
| 28.6b | (+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 y x) (*.f64 z z))) | |
| 6.8b | (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
Compiled 1190 to 872 computations (26.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) |
| 0.2b | (*.f64 (+.f64 x -1/2) (log.f64 x)) | |
| ✓ | 3.7b | (exp.f64 (log1p.f64 x)) |
| 5.5b | (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
Compiled 117 to 71 computations (39.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | (exp.f64 (log1p.f64 x)) |
| 5.0ms | x | @ | -inf | (exp.f64 (log1p.f64 x)) |
| 2.0ms | x | @ | inf | (exp.f64 (log1p.f64 x)) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) |
| 1× | batch-egg-rewrite |
| 1802× | associate-*r/ |
| 1464× | associate-*l/ |
| 334× | associate-+l+ |
| 308× | associate-/r* |
| 296× | add-sqr-sqrt |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 46 |
| 1 | 285 | 38 |
| 2 | 3781 | 36 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (log1p.f64 x)) |
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) |
| 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 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 x) 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 (sqrt.f64 (+.f64 x 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 (-.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 1) (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 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 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (-.f64 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (+.f64 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1) (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (+.f64 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (+.f64 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1) (fma.f64 (neg.f64 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x)) (-.f64 -8106146679533/100000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x)))))) |
| 1× | egg-herbie |
| 1144× | +-commutative |
| 1052× | associate-/r* |
| 806× | associate-+l- |
| 716× | associate-+r- |
| 708× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 393 | 9797 |
| 1 | 1065 | 8967 |
| 2 | 4288 | 8691 |
| 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)) |
(-.f64 (*.f64 -1/2 (log.f64 x)) 8106146679533/100000000000000) |
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)) 8106146679533/100000000000000) |
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)) 8106146679533/100000000000000) |
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)) 8106146679533/100000000000000) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))) (pow.f64 (/.f64 1 x) -1)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) (+.f64 8106146679533/100000000000000 (pow.f64 (/.f64 1 x) -1))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) (+.f64 8106146679533/100000000000000 (pow.f64 (/.f64 1 x) -1))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (exp.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 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (exp.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 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 x 1) |
(+.f64 1 x) |
(-.f64 (+.f64 x 1) 0) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 x))) 1) |
(-.f64 (+.f64 2 x) 1) |
(*.f64 (+.f64 x 1) 1) |
(*.f64 1 (+.f64 x 1)) |
(*.f64 (sqrt.f64 (+.f64 x 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 (-.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 1) (log1p.f64 x)) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.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 2 x))) |
(log1p.f64 (expm1.f64 (+.f64 x 1))) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x))) |
(+.f64 91893853320467/100000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1)) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (-.f64 -1 x) 1))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1) (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1)))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 -1 x) 1))) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (-.f64 -8106146679533/100000000000000 x) (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1)))) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (-.f64 -8106146679533/100000000000000 x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)))) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (-.f64 -8106146679533/100000000000000 x) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x)) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (*.f64 (-.f64 -1 x) 1)) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (+.f64 (-.f64 -1 x) (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1)))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (+.f64 (-.f64 -1 x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (+.f64 (-.f64 -1 x) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (+.f64 (*.f64 (-.f64 -1 x) 1) (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1)))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (+.f64 (*.f64 (-.f64 -1 x) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (+.f64 (*.f64 (-.f64 -1 x) 1) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))) |
(+.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1))) |
(+.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))) |
(+.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1))) |
(+.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) (+.f64 (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1)) (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1)))) |
(+.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)) (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1)))) |
(+.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)) (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1)))) |
(+.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) (+.f64 (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)))) |
(+.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)))) |
(+.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)))) |
(+.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) (+.f64 (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))) |
(+.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))) |
(+.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 91893853320467/100000000000000) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) (+.f64 91893853320467/100000000000000 (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1)))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) (+.f64 91893853320467/100000000000000 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) (+.f64 91893853320467/100000000000000 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) (+.f64 (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1)) 91893853320467/100000000000000)) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)) 91893853320467/100000000000000)) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)) 91893853320467/100000000000000)) |
(+.f64 (-.f64 -1 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) |
(+.f64 (-.f64 -1 x) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1)))) |
(+.f64 (-.f64 -1 x) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)))) |
(+.f64 (-.f64 -1 x) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))) |
(+.f64 (-.f64 -8106146679533/100000000000000 x) (*.f64 (+.f64 x -1/2) (log.f64 x))) |
(+.f64 (*.f64 (log.f64 x) x) (+.f64 (*.f64 (log.f64 x) -1/2) (-.f64 -8106146679533/100000000000000 x))) |
(+.f64 (*.f64 (log.f64 x) -1/2) (+.f64 (*.f64 (log.f64 x) x) (-.f64 -8106146679533/100000000000000 x))) |
(+.f64 (*.f64 x (log.f64 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 x (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) |
(+.f64 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1) 91893853320467/100000000000000) |
(+.f64 (*.f64 (-.f64 -1 x) 1) (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) |
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(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)) (sqrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (sqrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))) (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) |
(pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 2)) |
(log.f64 (exp.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(exp.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x)) |
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x)) |
| 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 (*.f64 -1 (pow.f64 (/.f64 -1 x) -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 (*.f64 -1 (pow.f64 (/.f64 -1 x) -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 (*.f64 -1 (pow.f64 (/.f64 -1 x) -1)) x)) |
(fma.f64 (pow.f64 (/.f64 -1 x) -1) -1 (/.f64 (pow.f64 (/.f64 -1 x) -1) (/.f64 x -1))) |
(-.f64 (*.f64 -1/2 (log.f64 x)) 8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) -8106146679533/100000000000000) |
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)) 8106146679533/100000000000000) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)) 8106146679533/100000000000000) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)) 8106146679533/100000000000000) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(neg.f64 (*.f64 x (neg.f64 (log.f64 x)))) |
(*.f64 x (neg.f64 (neg.f64 (log.f64 x)))) |
(*.f64 (neg.f64 (log.f64 x)) (neg.f64 x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))) (pow.f64 (/.f64 1 x) -1)) |
(-.f64 (fma.f64 -1 (*.f64 x (neg.f64 (log.f64 x))) (+.f64 91893853320467/100000000000000 (*.f64 (neg.f64 (log.f64 x)) 1/2))) (/.f64 1 (/.f64 1 x))) |
(-.f64 (-.f64 (fma.f64 (neg.f64 (log.f64 x)) 1/2 91893853320467/100000000000000) (*.f64 x (neg.f64 (log.f64 x)))) x) |
(-.f64 (fma.f64 (neg.f64 (log.f64 x)) 1/2 91893853320467/100000000000000) (+.f64 (*.f64 x (neg.f64 (log.f64 x))) x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) (+.f64 8106146679533/100000000000000 (pow.f64 (/.f64 1 x) -1))) |
(-.f64 (fma.f64 -1 (*.f64 x (neg.f64 (log.f64 x))) (*.f64 (neg.f64 (log.f64 x)) 1/2)) (+.f64 8106146679533/100000000000000 (/.f64 1 (/.f64 1 x)))) |
(fma.f64 (neg.f64 (neg.f64 (log.f64 x))) x (fma.f64 (neg.f64 (log.f64 x)) 1/2 (-.f64 -8106146679533/100000000000000 x))) |
(-.f64 (fma.f64 (neg.f64 (log.f64 x)) 1/2 (-.f64 -8106146679533/100000000000000 x)) (*.f64 x (neg.f64 (log.f64 x)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) (+.f64 8106146679533/100000000000000 (pow.f64 (/.f64 1 x) -1))) |
(-.f64 (fma.f64 -1 (*.f64 x (neg.f64 (log.f64 x))) (*.f64 (neg.f64 (log.f64 x)) 1/2)) (+.f64 8106146679533/100000000000000 (/.f64 1 (/.f64 1 x)))) |
(fma.f64 (neg.f64 (neg.f64 (log.f64 x))) x (fma.f64 (neg.f64 (log.f64 x)) 1/2 (-.f64 -8106146679533/100000000000000 x))) |
(-.f64 (fma.f64 (neg.f64 (log.f64 x)) 1/2 (-.f64 -8106146679533/100000000000000 x)) (*.f64 x (neg.f64 (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 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(-.f64 (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x (+.f64 91893853320467/100000000000000 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1/2))) (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(+.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -1/2 91893853320467/100000000000000)) (*.f64 (pow.f64 (/.f64 -1 x) -1) 1)) |
(+.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -1/2 91893853320467/100000000000000)) (pow.f64 (/.f64 -1 x) -1)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (exp.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 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(-.f64 (fma.f64 -1 (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x (+.f64 91893853320467/100000000000000 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1/2)))) (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(+.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -1/2 91893853320467/100000000000000)) (-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1) 1) x) (*.f64 -1 (pow.f64 (/.f64 -1 x) -1)))) |
(+.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -1/2 91893853320467/100000000000000)) (+.f64 (/.f64 (pow.f64 (/.f64 -1 x) -1) x) (pow.f64 (/.f64 -1 x) -1))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (exp.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 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(-.f64 (fma.f64 -1 (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x (+.f64 91893853320467/100000000000000 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1/2)))) (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(+.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -1/2 91893853320467/100000000000000)) (-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1) 1) x) (*.f64 -1 (pow.f64 (/.f64 -1 x) -1)))) |
(+.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -1/2 91893853320467/100000000000000)) (+.f64 (/.f64 (pow.f64 (/.f64 -1 x) -1) x) (pow.f64 (/.f64 -1 x) -1))) |
(+.f64 x 1) |
(+.f64 1 x) |
(+.f64 1 x) |
(-.f64 (+.f64 x 1) 0) |
(+.f64 1 x) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 x))) 1) |
(+.f64 1 x) |
(-.f64 (+.f64 2 x) 1) |
(+.f64 1 x) |
(*.f64 (+.f64 x 1) 1) |
(+.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 (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 (-.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 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 (-.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))) |
(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 1) (log1p.f64 x)) |
(pow.f64 (E.f64) (log1p.f64 x)) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 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 2 x))) |
(+.f64 1 x) |
(log1p.f64 (expm1.f64 (+.f64 x 1))) |
(+.f64 1 x) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(+.f64 91893853320467/100000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1)) |
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(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 1 x) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 1 x) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 1 x) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2))) |
(pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 1) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 2) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 3) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(pow.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3) 1/3) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -8106146679533/100000000000000 x)) 2)) |
(fabs.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 -8106146679533/100000000000000 x))) |
(fabs.f64 (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)) |
(log.f64 (exp.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3)) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(exp.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 1)) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x)) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x)) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x)) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) 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 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) | |
| 0.2b | (*.f64 (-.f64 x 1/2) (log.f64 x)) | |
| ✓ | 0.3b | (/.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) |
| ✓ | 0.2b | (-.f64 (*.f64 x (log.f64 x)) x) |
| ✓ | 0.3b | (*.f64 x (log.f64 x)) |
| 5.5b | (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) |
Compiled 89 to 52 computations (41.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | x | @ | 0 | (*.f64 x (log.f64 x)) |
| 11.0ms | x | @ | -inf | (*.f64 x (log.f64 x)) |
| 5.0ms | x | @ | inf | (*.f64 x (log.f64 x)) |
| 0.0ms | z | @ | inf | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 0.0ms | z | @ | -inf | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 1× | batch-egg-rewrite |
| 1660× | associate-*r/ |
| 1350× | associate-*l/ |
| 358× | associate-/r* |
| 344× | add-sqr-sqrt |
| 332× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 49 |
| 1 | 330 | 49 |
| 2 | 4321 | 49 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (log.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 (cbrt.f64 x)) 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| 1× | egg-herbie |
| 1226× | associate-+r+ |
| 1062× | associate-*r/ |
| 928× | +-commutative |
| 810× | associate-+l- |
| 742× | associate-+r- |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 446 | 9257 |
| 1 | 1172 | 8939 |
| 2 | 5040 | 8651 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -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 (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 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.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 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.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 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 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(log.f64 (pow.f64 x x)) |
(log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1))) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1)) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(+.f64 (*.f64 x (log.f64 x)) (neg.f64 x)) |
(+.f64 (*.f64 x (log.f64 x)) (*.f64 (neg.f64 x) 1)) |
(+.f64 (*.f64 x (log.f64 x)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (*.f64 x (log.f64 x)) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (*.f64 x (log.f64 x)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (*.f64 x (log.f64 x)) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (*.f64 x (log.f64 x)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (*.f64 x (log.f64 x)) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 x) 1 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) 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 x (log.f64 x)) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
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(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000)))))) |
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000))) (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000)) z) (neg.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) z) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000)))))) |
(/.f64 (*.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000)) 1) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)) |
(/.f64 (*.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) 1) (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000))))) |
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000) z) 1) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)) |
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) z) 1) (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (*.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) z)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000)) (*.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) z)) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))) |
(/.f64 (/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000)) 1) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)) |
(/.f64 (/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000)) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))) |
(/.f64 (/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000)) (*.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)) (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)))) (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))) |
(/.f64 (/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) 1) (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000))))) |
(/.f64 (/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000)))))) |
(/.f64 (/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000)))))) |
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000) z) 1) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)) |
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000) z) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))) |
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000) z) (*.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)) (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)))) (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))) |
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) z) 1) (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000))))) |
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) z) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000)))))) |
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) z) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000)))))) |
(pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 1) |
(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 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x 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 -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 -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 -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 (log.f64 x) 1) x) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(*.f64 (-.f64 (log.f64 x) 1) x) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(*.f64 (-.f64 (log.f64 x) 1) x) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(*.f64 (-.f64 (log.f64 x) 1) x) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (log.f64 (pow.f64 x x)) 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)))))) |
(*.f64 x (neg.f64 (+.f64 (-.f64 1 (log.f64 -1)) (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 (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)))))) |
(*.f64 x (neg.f64 (+.f64 (-.f64 1 (log.f64 -1)) (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 (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)))))) |
(*.f64 x (neg.f64 (+.f64 (-.f64 1 (log.f64 -1)) (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 (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)))))) |
(*.f64 x (neg.f64 (+.f64 (-.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 x))))) |
(*.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 z (*.f64 z y))) |
(*.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 z (*.f64 z y))) |
(*.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 z (*.f64 z y))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 z (*.f64 z y)) |
(+.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))) |
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(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 z (*.f64 z y))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3) (pow.f64 z 3))) |
(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 z (*.f64 z y))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(expm1.f64 (log1p.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 z (*.f64 z y))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(exp.f64 (log.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 z (*.f64 z y))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 1)) |
(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 z (*.f64 z y))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
(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 z (*.f64 z y))) |
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
| ✓ | 0.0b | (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) |
| ✓ | 0.3b | (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
| 0.3b | (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) |
Compiled 58 to 39 computations (32.8% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | z | @ | 0 | (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
| 0.0ms | z | @ | inf | (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) |
| 0.0ms | z | @ | 0 | (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
| 0.0ms | z | @ | inf | (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
| 1× | batch-egg-rewrite |
| 1264× | associate-/r* |
| 912× | associate-/l* |
| 416× | add-sqr-sqrt |
| 398× | pow1 |
| 398× | *-un-lft-identity |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 81 |
| 1 | 402 | 69 |
| 2 | 5322 | 69 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))) (-.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 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)))) (-.f64 1 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) (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))) (-.f64 x (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) 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| 1× | egg-herbie |
| 1658× | associate-/r/ |
| 1452× | associate-+r+ |
| 986× | +-commutative |
| 552× | fma-def |
| 442× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 414 | 7944 |
| 1 | 1012 | 7536 |
| 2 | 4778 | 7526 |
| 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 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
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(*.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 1) |
(/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) |
(/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (/.f64 1 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))) |
(/.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (/.f64 1 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))) |
(/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z))) |
(/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z))))) |
(/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000))) |
(/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (/.f64 1 (/.f64 1 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000))))) |
(/.f64 (sqrt.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000))) (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)) (sqrt.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000))))) |
(/.f64 (sqrt.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000))) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)) (sqrt.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000))) (cbrt.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)))) (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)) (cbrt.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000))) (cbrt.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)))) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)) (cbrt.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000))))) |
(/.f64 (neg.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000))) (neg.f64 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) |
(/.f64 (neg.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000))) (neg.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) |
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) 1) (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z))) |
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (sqrt.f64 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) (sqrt.f64 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) |
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (*.f64 (cbrt.f64 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z))) (cbrt.f64 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z))))) (cbrt.f64 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) |
(/.f64 (/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) 1) (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000))) |
(/.f64 (/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (sqrt.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))) (sqrt.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))) |
(/.f64 (/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000))) (cbrt.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000))))) (cbrt.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))) |
(pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 1) |
(pow.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 3) |
(pow.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2)) |
(log.f64 (exp.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))) |
(cbrt.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) |
(exp.f64 (log.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(fma.f64 z -13888888888889/5000000000000000 83333333333333/1000000000000000) |
(fma.f64 1 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000) |
(fma.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) |
| Outputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(/.f64 -13888888888889/5000000000000000 (/.f64 x z)) |
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(/.f64 -13888888888889/5000000000000000 (/.f64 x z)) |
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z) |
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(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) |
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(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) |
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(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
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(+.f64 (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))) |
(fma.f64 -1/2 (log.f64 x) (+.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (fma.f64 (+.f64 (log.f64 x) -1) x (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) |
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(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 (/.f64 -13888888888889/5000000000000000 x) z)) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))) |
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(fma.f64 -1/2 (log.f64 x) (+.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (fma.f64 (+.f64 (log.f64 x) -1) x (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 x (+.f64 (log.f64 x) -1) (/.f64 -13888888888889/5000000000000000 (/.f64 x z)))) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 (/.f64 -13888888888889/5000000000000000 x) z)) (fma.f64 -1/2 (log.f64 x) 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 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))) |
(+.f64 91893853320467/100000000000000 (fma.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) -1) x (*.f64 (neg.f64 (log.f64 x)) 1/2))) |
(+.f64 91893853320467/100000000000000 (fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 (neg.f64 (log.f64 x)) 1/2))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) (fma.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) -1) x (fma.f64 1/2 (neg.f64 (log.f64 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) |
(+.f64 91893853320467/100000000000000 (+.f64 (fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 (neg.f64 (log.f64 x)) 1/2 (/.f64 -13888888888889/5000000000000000 (/.f64 x z)))) (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 91893853320467/100000000000000 (+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 (neg.f64 (log.f64 x)) 1/2 (*.f64 (/.f64 -13888888888889/5000000000000000 x) z))))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) (fma.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) -1) x (fma.f64 1/2 (neg.f64 (log.f64 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) |
(+.f64 91893853320467/100000000000000 (+.f64 (fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 (neg.f64 (log.f64 x)) 1/2 (/.f64 -13888888888889/5000000000000000 (/.f64 x z)))) (/.f64 83333333333333/1000000000000000 x))) |
(+.f64 91893853320467/100000000000000 (+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 (neg.f64 (log.f64 x)) 1/2 (*.f64 (/.f64 -13888888888889/5000000000000000 x) z))))) |
(*.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))))) |
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(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) |
(fma.f64 (cbrt.f64 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) |
| ✓ | 0.2b | (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) |
| ✓ | 0.5b | (pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2) |
| 5.5b | (/.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 | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2) |
| 2.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2) |
| 2.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2) |
| 0.0ms | x | @ | 0 | (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) |
| 0.0ms | x | @ | -inf | (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) |
| 1× | batch-egg-rewrite |
| 970× | associate-*r/ |
| 870× | associate-*l/ |
| 738× | distribute-rgt-in |
| 708× | distribute-lft-in |
| 308× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 81 |
| 1 | 323 | 69 |
| 2 | 3720 | 69 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2) |
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) |
| 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 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x) x) -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))) (cbrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2)) 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (/.f64 1 (+.f64 (fma.f64 (+.f64 x -1/2) 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| 1× | egg-herbie |
| 1358× | associate-/l/ |
| 1288× | associate-/r/ |
| 786× | +-commutative |
| 440× | associate--r+ |
| 418× | fma-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 415 | 17553 |
| 1 | 1142 | 16083 |
| 2 | 5020 | 16083 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (log.f64 x) 1) x))) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 3))) (pow.f64 (-.f64 (log.f64 x) 1) 2))) (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 2) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))))) (pow.f64 x 2))))) |
(+.f64 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 3)))) (pow.f64 (-.f64 (log.f64 x) 1) 3))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (*.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))))) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 3) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))))) (pow.f64 (-.f64 (log.f64 x) 1) 3)))))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 3))) (pow.f64 (-.f64 (log.f64 x) 1) 2))) (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 2) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))))) (pow.f64 x 2)))))) |
(*.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)))) |
(+.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 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (log.f64 x) 1) x))) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (log.f64 x) 1) x))) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (log.f64 x) 1) x))) |
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(/.f64 (*.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) (sqrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3)))) (sqrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))) |
(/.f64 (*.f64 1 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2))) (-.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000))) (neg.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3)))) (neg.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) 2) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000))) (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) 2) (cbrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3)))) (cbrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000) 1) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000)) |
(/.f64 (*.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3)) 1) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))) |
(/.f64 (*.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2)) 1) (-.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000)) 1) (neg.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))) |
(/.f64 (*.f64 (neg.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3))) 1) (neg.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000)) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3))) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))) (sqrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) 2)) (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) 2)) (cbrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))) (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))) (cbrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2)) 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (/.f64 1 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) 3) 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))) (+.f64 (+.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2)) 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) 8444480278083503881401098089/10000000000000000000000000000))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3)) 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))) (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000)) |
(/.f64 (*.f64 (+.f64 467281046507217806034264751695811126233618503392209547027430905113362508381562101393972133232107032425973263562534889855762547/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3) 3)) (/.f64 1 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))) (+.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3)) (-.f64 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000) 1) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000) (*.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000)) (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000)))) (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))) |
(/.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3)) 1) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))) |
(/.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3)) (sqrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))) (sqrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))) |
(/.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3)) (*.f64 (cbrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))) (cbrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))))) (cbrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))) |
(pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 1) |
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) 3) |
(pow.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 2) 1/2) |
(pow.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 2)) |
(log.f64 (exp.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))) |
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 3)) |
(expm1.f64 (log.f64 (+.f64 191893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) |
(exp.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))) |
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) |
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 91893853320467/100000000000000) |
(fma.f64 (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)) 91893853320467/100000000000000) |
| Outputs |
|---|
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) |
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (log.f64 x) 1) x))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1))) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000)) |
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 3))) (pow.f64 (-.f64 (log.f64 x) 1) 2))) (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 2) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))))) (pow.f64 x 2))))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (fma.f64 (+.f64 (log.f64 x) -1) x (*.f64 (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 3))) (pow.f64 (+.f64 (log.f64 x) -1) 2)) (*.f64 1/4 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))) (*.f64 x x)))) |
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(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) 2) (+.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) -91893853320467/100000000000000)) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) -91893853320467/100000000000000))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000) (+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) -91893853320467/100000000000000)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) 2) (+.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) -91893853320467/100000000000000)) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) -91893853320467/100000000000000))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000) (+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) -91893853320467/100000000000000)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000) (*.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000)) (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000)))) (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) 2) (+.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) -91893853320467/100000000000000)) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) -91893853320467/100000000000000))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000) (+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) -91893853320467/100000000000000)) |
(/.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3)) 1) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))) |
(/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) 2) (*.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x))))) |
(/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) 91893853320467/100000000000000)))) |
(/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) (+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) -91893853320467/100000000000000)))) |
(/.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3)) (sqrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))) (sqrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))) |
(/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) 2) (*.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x))))) |
(/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) 91893853320467/100000000000000)))) |
(/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) (+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) -91893853320467/100000000000000)))) |
(/.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3)) (*.f64 (cbrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))) (cbrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))))) (cbrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))) |
(/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x) 2) (*.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x))))) |
(/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) 91893853320467/100000000000000)))) |
(/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) (+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) -91893853320467/100000000000000)))) |
(pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 1) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)) |
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) 2) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)) |
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) 3) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)) |
(pow.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 2) 1/2) |
(sqrt.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) 2)) |
(fabs.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))) |
(pow.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 3) 1/3) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)) |
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 2)) |
(sqrt.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) 2)) |
(fabs.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))) |
(log.f64 (exp.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)) |
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 3)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)) |
(expm1.f64 (log.f64 (+.f64 191893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)) |
(exp.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)) |
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) 1)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)) |
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)) |
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)) |
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)) |
(fma.f64 (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)) 91893853320467/100000000000000) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)) |
Compiled 54036 to 34902 computations (35.4% saved)
36 alts after pruning (34 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1597 | 32 | 1629 |
| Fresh | 16 | 2 | 18 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 2 | 4 |
| Total | 1616 | 36 | 1652 |
| Status | Error | Program |
|---|---|---|
| 11.3b | (pow.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) 3) | |
| ▶ | 43.2b | (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
| 10.5b | (-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x) | |
| 10.5b | (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x))) | |
| 16.2b | (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (*.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))) x)) | |
| 10.9b | (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))) | |
| ▶ | 29.9b | (+.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| 10.6b | (+.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2) (/.f64 83333333333333/1000000000000000 x)) | |
| 5.9b | (+.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 (expm1.f64 (log1p.f64 x)))) 91893853320467/100000000000000)) 2) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 7.3b | (+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 3) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| ✓ | 6.7b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| 10.4b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 10.7b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) | |
| 25.7b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) | |
| 28.2b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 y (/.f64 x (*.f64 z z)))) | |
| 11.4b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x)) | |
| ▶ | 11.4b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
| 24.6b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) | |
| 13.4b | (+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))) 8106146679533/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 10.7b | (+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 31.5b | (+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 6.3b | (+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)))) 1) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) | |
| ▶ | 5.8b | (+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (E.f64) (log1p.f64 x))) 1) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
| 27.2b | (+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) (/.f64 y (/.f64 x (*.f64 z z)))) | |
| 10.5b | (+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) (/.f64 83333333333333/1000000000000000 x)) | |
| 10.4b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) | |
| 10.8b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)) | |
| 27.2b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) | |
| ✓ | 10.5b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
| 23.8b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) | |
| ▶ | 19.4b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))) |
| 43.8b | (+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 13.5b | (+.f64 (+.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 43.7b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 11.4b | (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) | |
| 30.5b | (*.f64 x (+.f64 (log.f64 x) -1)) |
Compiled 1486 to 1103 computations (25.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (E.f64) (log1p.f64 x))) |
| 0.2b | (*.f64 (+.f64 x -1/2) (log.f64 x)) | |
| ✓ | 3.9b | (pow.f64 (E.f64) (log1p.f64 x)) |
| 5.5b | (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
Compiled 122 to 72 computations (41% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (E.f64) (log1p.f64 x))) |
| 1.0ms | x | @ | -inf | (pow.f64 (E.f64) (log1p.f64 x)) |
| 1.0ms | x | @ | inf | (pow.f64 (E.f64) (log1p.f64 x)) |
| 0.0ms | x | @ | 0 | (pow.f64 (E.f64) (log1p.f64 x)) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (E.f64) (log1p.f64 x))) |
| 1× | batch-egg-rewrite |
| 1838× | associate-*r/ |
| 1486× | associate-*l/ |
| 348× | add-sqr-sqrt |
| 340× | associate-+l+ |
| 336× | *-un-lft-identity |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 54 |
| 1 | 332 | 38 |
| 2 | 4396 | 36 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (E.f64) (log1p.f64 x)) |
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (E.f64) (log1p.f64 x))) |
| 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 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 x) 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 (sqrt.f64 (+.f64 x 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 1 (log1p.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (E.f64)) (log1p.f64 x)) (pow.f64 (sqrt.f64 (E.f64)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log1p.f64 x)) (pow.f64 (cbrt.f64 (E.f64)) (log1p.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 (pow.f64 1 (log1p.f64 x)) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 (log1p.f64 x)) (+.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 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 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (-.f64 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (+.f64 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1) (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (+.f64 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (+.f64 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (-.f64 -8106146679533/100000000000000 x) (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (-.f64 -8106146679533/100000000000000 x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (-.f64 -8106146679533/100000000000000 x) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x)))))) |
| 1× | egg-herbie |
| 1480× | +-commutative |
| 988× | *-commutative |
| 936× | associate-+l- |
| 824× | associate-+r- |
| 676× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 461 | 10036 |
| 1 | 1405 | 8970 |
| 2 | 4841 | 8688 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 (log.f64 (E.f64)) x) 1) |
(+.f64 (*.f64 (log.f64 (E.f64)) x) (+.f64 1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/2 (log.f64 (E.f64)))) (pow.f64 x 2)))) |
(+.f64 (*.f64 (log.f64 (E.f64)) x) (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/2 (log.f64 (E.f64)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 (E.f64)) 2)) (+.f64 (*.f64 1/6 (pow.f64 (log.f64 (E.f64)) 3)) (*.f64 1/3 (log.f64 (E.f64))))) (pow.f64 x 3))))) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (log.f64 (E.f64))) x) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64)))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (log.f64 (E.f64))) x) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (+.f64 (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/2 (log.f64 (E.f64))))) (pow.f64 x 2)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (log.f64 (E.f64))) x) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 (E.f64)) 2)) (+.f64 (*.f64 1/6 (pow.f64 (log.f64 (E.f64)) 3)) (*.f64 1/3 (log.f64 (E.f64)))))) (pow.f64 x 3)) (/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (+.f64 (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/2 (log.f64 (E.f64))))) (pow.f64 x 2))))) |
(pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(+.f64 (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (*.f64 (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (E.f64))) x)) |
(+.f64 (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (/.f64 (*.f64 (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (E.f64))) x) (/.f64 (*.f64 (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/2 (log.f64 (E.f64))))) (pow.f64 x 2)))) |
(+.f64 (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (*.f64 -1/6 (pow.f64 (log.f64 (E.f64)) 3)) (+.f64 (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/3 (log.f64 (E.f64)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (E.f64))) x) (/.f64 (*.f64 (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/2 (log.f64 (E.f64))))) (pow.f64 x 2))))) |
(-.f64 (*.f64 -1/2 (log.f64 x)) 8106146679533/100000000000000) |
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) (log.f64 (E.f64))) x)) 8106146679533/100000000000000) |
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 (E.f64))) (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2))) (pow.f64 x 2))) (*.f64 (-.f64 (log.f64 x) (log.f64 (E.f64))) x))) 8106146679533/100000000000000) |
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 (E.f64))) (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2))) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (E.f64))) x) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 (E.f64)) 2)) (+.f64 (*.f64 1/6 (pow.f64 (log.f64 (E.f64)) 3)) (*.f64 1/3 (log.f64 (E.f64))))) (pow.f64 x 3)))))) 8106146679533/100000000000000) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64)))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (log.f64 (E.f64))) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))))) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64)))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (log.f64 (E.f64))) x)) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (+.f64 (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/2 (log.f64 (E.f64))))) (pow.f64 x 2))))))) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64)))))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (E.f64))) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
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(/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x))) (*.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (-.f64 -1 x) 3)) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (-.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2))) (neg.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) |
(/.f64 (*.f64 1 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x))))) (-.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (-.f64 -1 x) (-.f64 -1 x)))) (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x))) |
(/.f64 (*.f64 1 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 3))) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x))) (*.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (-.f64 -1 x) 3))) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (-.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x))))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)))) (neg.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)))) (sqrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)))) (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)) 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) |
(/.f64 (*.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))) 1) (-.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (-.f64 -1 x) (-.f64 -1 x))) 1) (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x))) |
(/.f64 (*.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 3)) 1) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x))) (*.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (-.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (-.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2))) 1) (neg.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3))) 1) (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3))) (sqrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) (sqrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 2)) (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2)) (*.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x 1) 2))) (/.f64 1 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) 3) (pow.f64 (pow.f64 (+.f64 x 1) 2) 3)) (/.f64 1 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (+.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2)) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x 1) 2)) (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3)) (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) 3) (pow.f64 (pow.f64 (+.f64 x 1) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) (+.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3)) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3))))) |
(pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 2)) |
(log.f64 (exp.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(exp.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x)) |
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x)) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 (log.f64 (E.f64)) x) 1) |
(+.f64 1 x) |
(+.f64 (*.f64 (log.f64 (E.f64)) x) (+.f64 1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/2 (log.f64 (E.f64)))) (pow.f64 x 2)))) |
(+.f64 1 x) |
(+.f64 (*.f64 (log.f64 (E.f64)) x) (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/2 (log.f64 (E.f64)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 (E.f64)) 2)) (+.f64 (*.f64 1/6 (pow.f64 (log.f64 (E.f64)) 3)) (*.f64 1/3 (log.f64 (E.f64))))) (pow.f64 x 3))))) |
(+.f64 1 x) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) |
(exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x))))) |
(exp.f64 (neg.f64 (neg.f64 (log.f64 x)))) |
(exp.f64 (+.f64 0 (log.f64 x))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (log.f64 (E.f64))) x) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64)))))) |
(+.f64 (exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x))))) (/.f64 (exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x))))) (/.f64 x 1))) |
(+.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 x)))) (/.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 x)))) x)) |
(+.f64 (exp.f64 (+.f64 0 (log.f64 x))) (/.f64 (exp.f64 (+.f64 0 (log.f64 x))) x)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (log.f64 (E.f64))) x) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (+.f64 (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/2 (log.f64 (E.f64))))) (pow.f64 x 2)))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x))))) (/.f64 x 1)) (+.f64 (exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x))))) (/.f64 (exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x))))) (/.f64 (*.f64 x x) 0)))) |
(+.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 0 (*.f64 x x)) (/.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 x)))) x))) |
(+.f64 (exp.f64 (+.f64 0 (log.f64 x))) (+.f64 (/.f64 (exp.f64 (+.f64 0 (log.f64 x))) x) (/.f64 (/.f64 0 x) x))) |
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(-.f64 (*.f64 -1/2 (log.f64 x)) 8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) -8106146679533/100000000000000) |
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(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 (E.f64))) (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2))) (pow.f64 x 2))) (*.f64 (-.f64 (log.f64 x) (log.f64 (E.f64))) x))) 8106146679533/100000000000000) |
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(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
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(-.f64 (+.f64 x 1) 0) |
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(-.f64 (exp.f64 (log.f64 (+.f64 2 x))) 1) |
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(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(pow.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3) 1/3) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -8106146679533/100000000000000 x)) 2)) |
(fabs.f64 (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)) |
(log.f64 (exp.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3)) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(exp.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 1)) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x)) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x)) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x)) |
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000) |
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000)) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) | |
| 0.3b | (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
Compiled 22 to 16 computations (27.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (-.f64 (*.f64 x (log.f64 x)) x) | |
| ✓ | 0.2b | (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
| 0.3b | (*.f64 x (log.f64 x)) | |
| 0.3b | (/.f64 83333333333333/1000000000000000 x) |
Compiled 55 to 24 computations (56.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
| 0.0ms | z | @ | inf | (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
| 0.0ms | x | @ | 0 | (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
| 0.0ms | z | @ | 0 | (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
| 0.0ms | x | @ | -inf | (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
| 1× | batch-egg-rewrite |
| 1522× | add-sqr-sqrt |
| 1500× | *-un-lft-identity |
| 1404× | add-cube-cbrt |
| 1388× | add-cbrt-cube |
| 1374× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 147 | 13 |
| 2 | 1851 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -13888888888889/5000000000000000 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 -13888888888889/5000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -13888888888889/5000000000000000 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -13888888888889/5000000000000000 (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) -13888888888889/5000000000000000) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -13888888888889/5000000000000000 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 z x) 2) 192901234567904320987654321/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z x)) -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))))) |
| 1× | egg-herbie |
| 1046× | associate-*r* |
| 966× | distribute-rgt-neg-out |
| 964× | distribute-lft-neg-out |
| 926× | associate-*l* |
| 652× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 531 |
| 1 | 146 | 417 |
| 2 | 547 | 297 |
| 3 | 3918 | 297 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 1) |
(/.f64 -13888888888889/5000000000000000 (/.f64 x z)) |
(/.f64 1 (/.f64 x (*.f64 -13888888888889/5000000000000000 z))) |
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x) |
(/.f64 (*.f64 -13888888888889/5000000000000000 (neg.f64 z)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 z) -13888888888889/5000000000000000) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) 1) x) |
(/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 -13888888888889/5000000000000000 z)) (neg.f64 x)) |
(pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 3) |
(pow.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 z x) 2) 192901234567904320987654321/25000000000000000000000000000000)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 z x)) -13888888888889/5000000000000000)) |
(cbrt.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(exp.f64 (log.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 1) |
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(/.f64 -13888888888889/5000000000000000 (/.f64 x z)) |
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(/.f64 1 (/.f64 x (*.f64 -13888888888889/5000000000000000 z))) |
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x) |
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(/.f64 (*.f64 -13888888888889/5000000000000000 (neg.f64 z)) (neg.f64 x)) |
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(/.f64 (*.f64 (neg.f64 z) -13888888888889/5000000000000000) (neg.f64 x)) |
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) 1) x) |
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)) (sqrt.f64 x)) |
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(/.f64 (*.f64 -13888888888889/5000000000000000 z) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 -13888888888889/5000000000000000 (cbrt.f64 x)) (/.f64 z (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 -13888888888889/5000000000000000 (cbrt.f64 (*.f64 x x))) (/.f64 z (cbrt.f64 x))) |
(/.f64 (neg.f64 (*.f64 -13888888888889/5000000000000000 z)) (neg.f64 x)) |
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 1) |
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(pow.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 2) |
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 3) |
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(pow.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3) 1/3) |
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 z x) 2) 192901234567904320987654321/25000000000000000000000000000000)) |
(fabs.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(log.f64 (pow.f64 (exp.f64 (/.f64 z x)) -13888888888889/5000000000000000)) |
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(cbrt.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3)) |
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(expm1.f64 (log1p.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(exp.f64 (log.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 1)) |
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(log1p.f64 (expm1.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z 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 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) | |
| 0.2b | (*.f64 (-.f64 x 1/2) (log.f64 x)) | |
| ✓ | 30.1b | (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
Compiled 67 to 38 computations (43.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
| 0.0ms | x | @ | inf | (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 1542× | add-sqr-sqrt |
| 1506× | *-un-lft-identity |
| 1426× | add-cube-cbrt |
| 1416× | add-cbrt-cube |
| 1404× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 168 | 7 |
| 2 | 2054 | 7 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x 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 (/.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 83333333333333/1000000000000000 (sqrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 83333333333333/1000000000000000 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 6944444444444388888888888889/1000000000000000000000000000000 1/2) (pow.f64 (pow.f64 x -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4))) 1/2) (pow.f64 (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 x (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 83333333333333/1000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -6944444444444388888888888889/1000000000000000000000000000000) (sqrt.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -83333333333333/1000000000000000 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2)) 1/2)))) (#(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 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 83333333333333/1000000000000000 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 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 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 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))) 1/2))))) (#(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 |
| 1024× | unswap-sqr |
| 956× | associate-/l* |
| 952× | *-commutative |
| 930× | associate-/r* |
| 730× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 501 |
| 1 | 171 | 501 |
| 2 | 412 | 501 |
| 3 | 1031 | 501 |
| 4 | 3778 | 501 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 -83333333333333/1000000000000000 x) |
(/.f64 -83333333333333/1000000000000000 x) |
(/.f64 -83333333333333/1000000000000000 x) |
(/.f64 -83333333333333/1000000000000000 x) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(*.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 83333333333333/1000000000000000 (sqrt.f64 (pow.f64 x -2))) |
(*.f64 83333333333333/1000000000000000 (/.f64 1 x)) |
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x))) |
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))))) |
(*.f64 (pow.f64 6944444444444388888888888889/1000000000000000000000000000000 1/2) (pow.f64 (pow.f64 x -2) 1/2)) |
(*.f64 (pow.f64 1 1/2) (/.f64 83333333333333/1000000000000000 x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4))) 1/2) (pow.f64 (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))) 1/2)) |
(/.f64 1 (sqrt.f64 (/.f64 x (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x)))) |
(/.f64 1 (/.f64 x 83333333333333/1000000000000000)) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 (sqrt.f64 -6944444444444388888888888889/1000000000000000000000000000000) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x)) (sqrt.f64 x)) |
(/.f64 -83333333333333/1000000000000000 (neg.f64 x)) |
(pow.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2)) 1/2) |
(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 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) 1/3) |
(fabs.f64 (/.f64 83333333333333/1000000000000000 x)) |
(log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x))) |
(cbrt.f64 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x))) |
(exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))) 1/2)) |
(exp.f64 (*.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x))) |
| Outputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 -83333333333333/1000000000000000 x) |
(/.f64 -83333333333333/1000000000000000 x) |
(/.f64 -83333333333333/1000000000000000 x) |
(/.f64 -83333333333333/1000000000000000 x) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 83333333333333/1000000000000000 x) 1) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 1 (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 83333333333333/1000000000000000 (sqrt.f64 (pow.f64 x -2))) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 83333333333333/1000000000000000 (/.f64 1 x)) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (*.f64 (pow.f64 x -2) 6944444444444388888888888889/1000000000000000000000000000000))) |
(*.f64 (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x))) |
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (*.f64 (pow.f64 x -2) 6944444444444388888888888889/1000000000000000000000000000000))) |
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) 6944444444444388888888888889/1000000000000000000000000000000)))) |
(*.f64 (pow.f64 6944444444444388888888888889/1000000000000000000000000000000 1/2) (pow.f64 (pow.f64 x -2) 1/2)) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (pow.f64 1 1/2) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4))) 1/2) (pow.f64 (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))) 1/2)) |
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) 6944444444444388888888888889/1000000000000000000000000000000)))) |
(/.f64 1 (sqrt.f64 (/.f64 x (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x)))) |
(/.f64 1 (sqrt.f64 (*.f64 (/.f64 x 6944444444444388888888888889/1000000000000000000000000000000) x))) |
(/.f64 1 (sqrt.f64 (*.f64 x (/.f64 x 6944444444444388888888888889/1000000000000000000000000000000)))) |
(/.f64 1 (/.f64 x 83333333333333/1000000000000000)) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 83333333333333/1000000000000000 x) |
(/.f64 (sqrt.f64 -6944444444444388888888888889/1000000000000000000000000000000) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x)) (sqrt.f64 x)) |
(/.f64 -83333333333333/1000000000000000 (neg.f64 x)) |
(/.f64 83333333333333/1000000000000000 x) |
(pow.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2)) 1/2) |
(/.f64 83333333333333/1000000000000000 x) |
(pow.f64 (/.f64 83333333333333/1000000000000000 x) 1) |
(/.f64 83333333333333/1000000000000000 x) |
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) |
(/.f64 83333333333333/1000000000000000 x) |
(pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3) |
(/.f64 83333333333333/1000000000000000 x) |
(pow.f64 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) 1/3) |
(cbrt.f64 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) |
(fabs.f64 (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 83333333333333/1000000000000000 x) |
(log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x))) |
(/.f64 83333333333333/1000000000000000 x) |
(cbrt.f64 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x))) |
(/.f64 83333333333333/1000000000000000 x) |
(exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x))) |
(/.f64 83333333333333/1000000000000000 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))) 1/2)) |
(/.f64 83333333333333/1000000000000000 x) |
(exp.f64 (*.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)) 1)) |
(/.f64 83333333333333/1000000000000000 x) |
(log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x))) |
(/.f64 83333333333333/1000000000000000 x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (-.f64 (*.f64 x (log.f64 x)) x) | |
| 0.3b | (*.f64 x (log.f64 x)) | |
| ✓ | 0.3b | (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) |
| 5.5b | (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) |
Compiled 109 to 58 computations (46.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) |
| 1.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) |
| 1.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) |
| 1× | batch-egg-rewrite |
| 1900× | add-sqr-sqrt |
| 1878× | *-un-lft-identity |
| 1754× | add-cube-cbrt |
| 1738× | add-cbrt-cube |
| 188× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 1 | 211 | 17 |
| 2 | 2402 | 17 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (log.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 x (log.f64 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (fma.f64 x (log.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 x (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))) (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4) (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))) (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4)) (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (log.f64 x) x) (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))) (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x (log.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x (log.f64 x)) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x))) (neg.f64 (fma.f64 x (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 x x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (log.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 x (log.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 x (log.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 x (log.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (log.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))) (neg.f64 x)))))) |
| 1× | egg-herbie |
| 1310× | associate-+l+ |
| 918× | associate-*r/ |
| 878× | associate-*r* |
| 728× | associate-*l* |
| 660× | associate--r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 1434 |
| 1 | 294 | 1410 |
| 2 | 995 | 1410 |
| 3 | 4937 | 1410 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x (log.f64 x)) (neg.f64 x)) |
(+.f64 (*.f64 x (log.f64 x)) (*.f64 (neg.f64 x) 1)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 x) 1 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(+.f64 (neg.f64 x) (*.f64 x (log.f64 x))) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 x (log.f64 x)) x))) 1) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (fma.f64 x (log.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 x (log.f64 x) x))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))) (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))))) |
(*.f64 x (-.f64 (log.f64 x) 1)) |
(*.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))) |
(*.f64 1 (-.f64 (*.f64 x (log.f64 x)) x)) |
(*.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4) (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)))) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2)) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))) (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x (log.f64 x) x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4)) (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)))) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x))) |
(/.f64 1 (/.f64 (fma.f64 x (log.f64 x) x) (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))) (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x (log.f64 x)) (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x (log.f64 x)) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x))) (neg.f64 (fma.f64 x (log.f64 x) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))))) |
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 2)) |
(log.f64 (/.f64 (pow.f64 x x) (exp.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (log.f64 x)) x)))) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (log.f64 x)) x))) |
(exp.f64 (log.f64 (-.f64 (*.f64 x (log.f64 x)) x))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 1)) |
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x (log.f64 x)) x))) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(fma.f64 (log.f64 x) x (neg.f64 x)) |
(fma.f64 1 (*.f64 x (log.f64 x)) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))) (neg.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))) (neg.f64 x)) |
| Outputs |
|---|
(+.f64 (*.f64 x (log.f64 x)) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(+.f64 (*.f64 x (log.f64 x)) (*.f64 (neg.f64 x) 1)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 x) 1 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(+.f64 (neg.f64 x) (*.f64 x (log.f64 x))) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 x (log.f64 x)) x))) 1) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (fma.f64 x (log.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 x (log.f64 x) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x)) |
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))) (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (log.f64 x) x) (pow.f64 (*.f64 x (log.f64 x)) 2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 x (log.f64 x)) (fma.f64 x (log.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (log.f64 (pow.f64 x x)) (fma.f64 x (log.f64 x) x)))) |
(*.f64 x (-.f64 (log.f64 x) 1)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(*.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(*.f64 1 (-.f64 (*.f64 x (log.f64 x)) x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(*.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4) (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)))) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))) (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)))) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (*.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (*.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (cbrt.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x (log.f64 x) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x)) |
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x)) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (log.f64 x) x) (pow.f64 (*.f64 x (log.f64 x)) 2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 x (log.f64 x)) (fma.f64 x (log.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (log.f64 (pow.f64 x x)) (fma.f64 x (log.f64 x) x)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4)) (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)))) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (*.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (*.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (cbrt.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x))))) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (log.f64 x)))) (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (pow.f64 x x)))) (-.f64 (sqrt.f64 (log.f64 (pow.f64 x x))) (sqrt.f64 x))) |
(/.f64 1 (/.f64 (fma.f64 x (log.f64 x) x) (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x)) |
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))) (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (log.f64 x) x) (pow.f64 (*.f64 x (log.f64 x)) 2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 x (log.f64 x)) (fma.f64 x (log.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (log.f64 (pow.f64 x x)) (fma.f64 x (log.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x)) |
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (log.f64 x) x) (pow.f64 (*.f64 x (log.f64 x)) 2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 x (log.f64 x)) (fma.f64 x (log.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (log.f64 (pow.f64 x x)) (fma.f64 x (log.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x (log.f64 x)) (neg.f64 x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x)) |
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x (log.f64 x)) (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (log.f64 x) x) (pow.f64 (*.f64 x (log.f64 x)) 2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 x (log.f64 x)) (fma.f64 x (log.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (log.f64 (pow.f64 x x)) (fma.f64 x (log.f64 x) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x))) (neg.f64 (fma.f64 x (log.f64 x) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x)) |
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (log.f64 x) x) (pow.f64 (*.f64 x (log.f64 x)) 2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 x (log.f64 x)) (fma.f64 x (log.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (log.f64 (pow.f64 x x)) (fma.f64 x (log.f64 x) x)))) |
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 2)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(log.f64 (/.f64 (pow.f64 x x) (exp.f64 x))) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (log.f64 x)) x)))) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 3)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (log.f64 x)) x))) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(exp.f64 (log.f64 (-.f64 (*.f64 x (log.f64 x)) x))) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 1)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x (log.f64 x)) x))) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(fma.f64 (log.f64 x) x (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(fma.f64 1 (*.f64 x (log.f64 x)) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(fma.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (log.f64 (pow.f64 x x)) x) |
Compiled 40372 to 23852 computations (40.9% saved)
45 alts after pruning (42 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1290 | 22 | 1312 |
| Fresh | 9 | 20 | 29 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 3 | 6 |
| Total | 1303 | 45 | 1348 |
| Status | Error | Program |
|---|---|---|
| 43.5b | (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) 3) | |
| ▶ | 43.3b | (/.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x)) |
| 43.3b | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x) | |
| 43.3b | (/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x) | |
| 43.2b | (/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x) | |
| ✓ | 43.2b | (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
| 43.3b | (/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x) | |
| 43.5b | (/.f64 (*.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))) x) | |
| 62.3b | (/.f64 (*.f64 -13888888888889/5000000000000000 z) x) | |
| ▶ | 43.2b | (/.f64 83333333333333/1000000000000000 x) |
| 62.3b | (/.f64 -13888888888889/5000000000000000 (/.f64 x z)) | |
| 10.5b | (-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x) | |
| 31.1b | (+.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) (/.f64 83333333333333/1000000000000000 x)) | |
| 5.9b | (+.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 (expm1.f64 (log1p.f64 x)))) 91893853320467/100000000000000)) 2) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| 12.0b | (+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 3) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) | |
| 43.2b | (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) | |
| ✓ | 6.7b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| 10.4b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| ▶ | 10.7b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
| 25.7b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) | |
| 28.2b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 y (/.f64 x (*.f64 z z)))) | |
| 11.4b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x)) | |
| 24.6b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) | |
| 20.3b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))) | |
| 10.7b | (+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 31.5b | (+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| ▶ | 5.9b | (+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x)))) 1) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
| 10.6b | (+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (E.f64) (log1p.f64 x))) 1) (/.f64 83333333333333/1000000000000000 x)) | |
| 27.2b | (+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) (/.f64 y (/.f64 x (*.f64 z z)))) | |
| 10.5b | (+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) (/.f64 83333333333333/1000000000000000 x)) | |
| 10.4b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) | |
| 27.2b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) | |
| 10.5b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000))) | |
| ✓ | 10.5b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
| 23.8b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) | |
| 43.8b | (+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 13.5b | (+.f64 (+.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 43.7b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 11.4b | (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) | |
| 14.3b | (+.f64 (expm1.f64 (log1p.f64 (-.f64 (*.f64 x (log.f64 x)) x))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) | |
| 43.6b | (*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))) | |
| 62.3b | (*.f64 (/.f64 -13888888888889/5000000000000000 x) z) | |
| 43.2b | (*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) | |
| ▶ | 30.5b | (*.f64 x (+.f64 (log.f64 x) -1)) |
| 62.3b | (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
Compiled 1524 to 1147 computations (24.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x)))) |
| 0.2b | (*.f64 (+.f64 x -1/2) (log.f64 x)) | |
| ✓ | 4.0b | (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x))) |
| 5.5b | (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
Compiled 141 to 87 computations (38.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x)))) |
| 1.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x))) |
| 1.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x))) |
| 1.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x))) |
| 1.0ms | x | @ | -inf | (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x)))) |
| 1× | batch-egg-rewrite |
| 1718× | associate-*l/ |
| 406× | associate-/r* |
| 404× | add-sqr-sqrt |
| 388× | *-un-lft-identity |
| 382× | pow1 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 74 |
| 1 | 394 | 38 |
| 2 | 5105 | 36 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x))) |
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x)))) |
| Outputs |
|---|
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-1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x)))))) |
| 1× | egg-herbie |
| 904× | associate-+l- |
| 784× | associate-+r- |
| 758× | associate--r+ |
| 712× | associate-*r/ |
| 702× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 465 | 10710 |
| 1 | 1343 | 9966 |
| 2 | 5089 | 9954 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x)) 1) |
(+.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x)) (+.f64 1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64))))) (pow.f64 x 2)))) |
(+.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x)) (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 4/3 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3)) (+.f64 (*.f64 -2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 2/3 (log.f64 (sqrt.f64 (E.f64)))))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64))))) (pow.f64 x 2))))) |
(exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x)) (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64))))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x)) (+.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64)))))) (pow.f64 x 2)))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x)) (+.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 4/3 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3)) (+.f64 (*.f64 -2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 2/3 (log.f64 (sqrt.f64 (E.f64))))))) (pow.f64 x 3)) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64)))))) (pow.f64 x 2))))) |
(exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x)) (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64))))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64)))))) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x)) (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64)))))) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x)) (+.f64 (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (+.f64 (*.f64 -2/3 (log.f64 (sqrt.f64 (E.f64)))) (*.f64 -4/3 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3))))) (pow.f64 x 3)))))) |
(-.f64 (*.f64 -1/2 (log.f64 x)) 8106146679533/100000000000000) |
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) (*.f64 2 (log.f64 (sqrt.f64 (E.f64))))) x)) 8106146679533/100000000000000) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64))))) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) (*.f64 2 (log.f64 (sqrt.f64 (E.f64))))) x))) 8106146679533/100000000000000) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64))))) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 (-.f64 (log.f64 x) (*.f64 2 (log.f64 (sqrt.f64 (E.f64))))) x) (*.f64 -1 (*.f64 (+.f64 (*.f64 -2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (+.f64 (*.f64 4/3 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3)) (*.f64 2/3 (log.f64 (sqrt.f64 (E.f64)))))) (pow.f64 x 3)))))) 8106146679533/100000000000000) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))) (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64))))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -2 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x))))) (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64))))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64)))))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -2 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x)))))) (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64))))))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64))))))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (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 -2 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x))))) (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64))))))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -2 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x)))))) (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64))))))) |
(+.f64 x 1) |
(+.f64 1 x) |
(-.f64 (+.f64 x 1) 0) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 x))) 1) |
(-.f64 (+.f64 2 x) 1) |
(*.f64 (+.f64 x 1) 1) |
(*.f64 1 (+.f64 x 1)) |
(*.f64 (sqrt.f64 (+.f64 x 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 1 (log1p.f64 x)) (+.f64 x 1)) |
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log1p.f64 x)) (pow.f64 (cbrt.f64 (E.f64)) (log1p.f64 x))) |
(*.f64 (pow.f64 1 (*.f64 2 (log1p.f64 x))) (+.f64 x 1)) |
(*.f64 (pow.f64 (pow.f64 (E.f64) 1/4) (*.f64 2 (log1p.f64 x))) (pow.f64 (pow.f64 (E.f64) 1/4) (*.f64 2 (log1p.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 1/2)) (*.f64 2 (log1p.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 (-.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))) |
(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 2 x))) |
(exp.f64 (log1p.f64 x)) |
(log1p.f64 (expm1.f64 (+.f64 x 1))) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x))) |
(+.f64 91893853320467/100000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1)) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (-.f64 -1 x) 1))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1) (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1)))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)))) |
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 -1 x) 1))) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (-.f64 -8106146679533/100000000000000 x) (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1)))) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (-.f64 -8106146679533/100000000000000 x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)))) |
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (-.f64 -8106146679533/100000000000000 x) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x)) |
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 2)) (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2)) (*.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x 1) 2))) (/.f64 1 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) 3) (pow.f64 (pow.f64 (+.f64 x 1) 2) 3)) (/.f64 1 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (+.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2)) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x 1) 2)) (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3)) (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) 3) (pow.f64 (pow.f64 (+.f64 x 1) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) (+.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3)) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)) 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)) (sqrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (sqrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))) (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) |
(pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 2)) |
(log.f64 (exp.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(exp.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x)) |
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x)) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x)) 1) |
(fma.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x) 1) |
(+.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x)) (+.f64 1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64))))) (pow.f64 x 2)))) |
(+.f64 (fma.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x) 1) (*.f64 (fma.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (neg.f64 (log.f64 (sqrt.f64 (E.f64))))) (*.f64 x x))) |
(fma.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x) (fma.f64 (fma.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (neg.f64 (log.f64 (sqrt.f64 (E.f64))))) (*.f64 x x) 1)) |
(+.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x)) (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 4/3 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3)) (+.f64 (*.f64 -2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 2/3 (log.f64 (sqrt.f64 (E.f64)))))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64))))) (pow.f64 x 2))))) |
(+.f64 (fma.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x) 1) (fma.f64 (fma.f64 4/3 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3) (fma.f64 -2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) 2/3))) (pow.f64 x 3) (*.f64 (fma.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (neg.f64 (log.f64 (sqrt.f64 (E.f64))))) (*.f64 x x)))) |
(+.f64 (fma.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x) 1) (fma.f64 (fma.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (neg.f64 (log.f64 (sqrt.f64 (E.f64))))) (*.f64 x x) (*.f64 (fma.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) -2 (fma.f64 (log.f64 (sqrt.f64 (E.f64))) 2/3 (*.f64 4/3 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3)))) (pow.f64 x 3)))) |
(exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) |
(pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x)) (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64))))))) |
(fma.f64 2 (/.f64 (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))) (/.f64 x (log.f64 (sqrt.f64 (E.f64))))) (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x))))) |
(fma.f64 2 (/.f64 (log.f64 (sqrt.f64 (E.f64))) (/.f64 x (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))))) (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x)) (+.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64)))))) (pow.f64 x 2)))) |
(+.f64 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))) (/.f64 x (log.f64 (sqrt.f64 (E.f64))))) (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x))))) (/.f64 (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))) (/.f64 (*.f64 x x) (fma.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (neg.f64 (log.f64 (sqrt.f64 (E.f64)))))))) |
(+.f64 (fma.f64 2 (/.f64 (log.f64 (sqrt.f64 (E.f64))) (/.f64 x (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))))) (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x))))) (*.f64 (/.f64 (fma.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (neg.f64 (log.f64 (sqrt.f64 (E.f64))))) x) (/.f64 (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))) x))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x)) (+.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 4/3 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3)) (+.f64 (*.f64 -2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 2/3 (log.f64 (sqrt.f64 (E.f64))))))) (pow.f64 x 3)) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64)))))) (pow.f64 x 2))))) |
(+.f64 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))) (/.f64 x (log.f64 (sqrt.f64 (E.f64))))) (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x))))) (+.f64 (/.f64 (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))) (/.f64 (*.f64 x x) (fma.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (neg.f64 (log.f64 (sqrt.f64 (E.f64))))))) (/.f64 (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))) (/.f64 (pow.f64 x 3) (fma.f64 4/3 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3) (fma.f64 -2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) 2/3))))))) |
(+.f64 (fma.f64 2 (/.f64 (log.f64 (sqrt.f64 (E.f64))) (/.f64 x (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))))) (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x))))) (+.f64 (*.f64 (/.f64 (fma.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (neg.f64 (log.f64 (sqrt.f64 (E.f64))))) x) (/.f64 (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))) (pow.f64 x 3)) (fma.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) -2 (fma.f64 (log.f64 (sqrt.f64 (E.f64))) 2/3 (*.f64 4/3 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3))))))) |
(exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))) |
(pow.f64 (exp.f64 2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(pow.f64 (exp.f64 2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x)) (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64))))))) |
(fma.f64 2 (/.f64 (pow.f64 (exp.f64 2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 x (log.f64 (sqrt.f64 (E.f64))))) (pow.f64 (exp.f64 2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) |
(fma.f64 2 (/.f64 (pow.f64 (exp.f64 2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 x (log.f64 (sqrt.f64 (E.f64))))) (pow.f64 (exp.f64 2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) |
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(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 6) (pow.f64 (+.f64 1 x) 6)) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000))) (+.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 4) (fma.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 1 x) 4)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3)) (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3))) |
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 6) (pow.f64 (+.f64 1 x) 6)) 1) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 1 x) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000))))) (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 6) (pow.f64 (+.f64 1 x) 6)) (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3)) (fma.f64 (+.f64 1 x) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) 3) (pow.f64 (pow.f64 (+.f64 x 1) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) (+.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3)) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) 3) (pow.f64 (pow.f64 (+.f64 1 x) 3) 3)) (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 6) (+.f64 (pow.f64 (+.f64 1 x) 6) (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3)))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 1 x) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3) 3) (pow.f64 (pow.f64 (+.f64 1 x) 3) 3)) (*.f64 (fma.f64 (pow.f64 (+.f64 1 x) 3) (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 6)) (fma.f64 (+.f64 1 x) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)) 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 1 x) 2)) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 1 x) 2)) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)) (sqrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (sqrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 1 x) 2)) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 1 x) 2)) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))) (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 1 x) 2)) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 1 x) 2)) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 1 x) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 1 x) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 1 x) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2))) |
(pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 1) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 2) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 3) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(pow.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3) 1/3) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -8106146679533/100000000000000 x)) 2)) |
(fabs.f64 (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)) |
(log.f64 (exp.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(exp.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 1)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x)) |
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x))) |
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 83333333333333/1000000000000000 x) |
Compiled 8 to 6 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 x (+.f64 (log.f64 x) -1)) |
Compiled 17 to 10 computations (41.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 x (+.f64 (log.f64 x) -1)) |
| 0.0ms | x | @ | inf | (*.f64 x (+.f64 (log.f64 x) -1)) |
| 0.0ms | x | @ | 0 | (*.f64 x (+.f64 (log.f64 x) -1)) |
| 1× | batch-egg-rewrite |
| 1726× | add-sqr-sqrt |
| 1710× | *-un-lft-identity |
| 1592× | add-cube-cbrt |
| 1570× | add-cbrt-cube |
| 168× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 168 | 17 |
| 2 | 2104 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (+.f64 (log.f64 x) -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (log.f64 x)) 1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (log.f64 x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 (log.f64 x) (log.f64 x) -1)) (+.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (log.f64 x) (log.f64 x) -1) x) (+.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x (log.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x (log.f64 x)) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (*.f64 x (exp.f64 -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (log.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 (log.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 (log.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 (log.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (log.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) x (neg.f64 x)))))) |
| 1× | egg-herbie |
| 1364× | associate-+r+ |
| 946× | associate-+l+ |
| 590× | associate-*r/ |
| 466× | associate-/r/ |
| 460× | +-commutative |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 896 |
| 1 | 257 | 862 |
| 2 | 912 | 850 |
| 3 | 3682 | 848 |
| 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 (*.f64 x (log.f64 x)) (neg.f64 x)) |
(+.f64 (neg.f64 x) (*.f64 x (log.f64 x))) |
(+.f64 (*.f64 (*.f64 x (log.f64 x)) 1) (*.f64 (neg.f64 x) 1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (log.f64 x) -1)))) 1) |
(/.f64 (*.f64 x (fma.f64 (log.f64 x) (log.f64 x) -1)) (+.f64 (log.f64 x) 1)) |
(/.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 (fma.f64 (log.f64 x) (log.f64 x) -1) x) (+.f64 (log.f64 x) 1)) |
(/.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 (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x (log.f64 x)) (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x (log.f64 x)) (neg.f64 x))))) |
(pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 3) |
(pow.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2)) |
(log.f64 (pow.f64 (*.f64 x (exp.f64 -1)) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (log.f64 x) -1))))) |
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(exp.f64 (log.f64 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(fma.f64 (log.f64 x) x (neg.f64 x)) |
| Outputs |
|---|
(*.f64 (-.f64 (log.f64 x) 1) x) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(*.f64 (-.f64 (log.f64 x) 1) x) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(*.f64 (-.f64 (log.f64 x) 1) x) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(*.f64 (-.f64 (log.f64 x) 1) x) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(*.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 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) |
(*.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 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) |
(*.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 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) |
(*.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 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) |
(+.f64 (*.f64 x (log.f64 x)) (neg.f64 x)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(+.f64 (neg.f64 x) (*.f64 x (log.f64 x))) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(+.f64 (*.f64 (*.f64 x (log.f64 x)) 1) (*.f64 (neg.f64 x) 1)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (log.f64 x) -1)))) 1) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(/.f64 (*.f64 x (fma.f64 (log.f64 x) (log.f64 x) -1)) (+.f64 (log.f64 x) 1)) |
(/.f64 x (/.f64 (+.f64 (log.f64 x) 1) (fma.f64 (log.f64 x) (log.f64 x) -1))) |
(*.f64 (/.f64 x (+.f64 (log.f64 x) 1)) (+.f64 -1 (pow.f64 (log.f64 x) 2))) |
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) 1))) |
(/.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 x (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1))) (+.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 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 x) (+.f64 (log.f64 x) 1)))) |
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 (log.f64 x) (fma.f64 (log.f64 x) (log.f64 x) 1)))) |
(/.f64 (*.f64 (fma.f64 (log.f64 x) (log.f64 x) -1) x) (+.f64 (log.f64 x) 1)) |
(/.f64 x (/.f64 (+.f64 (log.f64 x) 1) (fma.f64 (log.f64 x) (log.f64 x) -1))) |
(*.f64 (/.f64 x (+.f64 (log.f64 x) 1)) (+.f64 -1 (pow.f64 (log.f64 x) 2))) |
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) 1))) |
(/.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 x (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1))) (+.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 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 x) (+.f64 (log.f64 x) 1)))) |
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 (log.f64 x) (fma.f64 (log.f64 x) (log.f64 x) 1)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x (log.f64 x)) (neg.f64 x))) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x (log.f64 x)) (neg.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (*.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 x (log.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x (*.f64 (pow.f64 (log.f64 x) 2) x) (fma.f64 x x (*.f64 x (*.f64 x (log.f64 x)))))) |
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 (log.f64 x) 3))) (fma.f64 x x (*.f64 (*.f64 x (log.f64 x)) (fma.f64 x (log.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (*.f64 x (+.f64 x (*.f64 (log.f64 x) (fma.f64 x (log.f64 x) x))))) |
(pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 1) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 2) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 3) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(pow.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3) 1/3) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(log.f64 (pow.f64 (*.f64 x (exp.f64 -1)) x)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (log.f64 x) -1))))) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(exp.f64 (log.f64 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 1)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(fma.f64 (log.f64 x) x (neg.f64 x)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(fma.f64 x (log.f64 x) (neg.f64 x)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (-.f64 (*.f64 x (log.f64 x)) x) | |
| 0.3b | (*.f64 x (log.f64 x)) | |
| ✓ | 3.4b | (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x) |
| ✓ | 6.2b | (*.f64 y (*.f64 z z)) |
Compiled 59 to 18 computations (69.5% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x) |
| 0.0ms | y | @ | 0 | (*.f64 y (*.f64 z z)) |
| 0.0ms | z | @ | 0 | (*.f64 y (*.f64 z z)) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x) |
| 1× | batch-egg-rewrite |
| 1048× | *-commutative |
| 996× | associate-*r/ |
| 760× | associate-/r* |
| 742× | associate-*l/ |
| 604× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 1 | 219 | 34 |
| 2 | 2911 | 34 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (*.f64 z z)) |
(/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 z z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 z z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 z z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 z z)))))))) |
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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x))))))) |
| 1× | egg-herbie |
| 1124× | distribute-lft-in |
| 1082× | distribute-rgt-in |
| 1018× | associate-*r/ |
| 886× | *-commutative |
| 756× | unswap-sqr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 3861 |
| 1 | 488 | 3047 |
| 2 | 2079 | 3043 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (pow.f64 z 2)) |
(/.f64 83333333333333/1000000000000000 x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(/.f64 83333333333333/1000000000000000 x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 y (pow.f64 z 2))) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 y (pow.f64 z 2))) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 y (pow.f64 z 2))) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 y (pow.f64 z 2))) x) |
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 z z)))) 1) |
(pow.f64 (*.f64 y (*.f64 z z)) 1) |
(pow.f64 (*.f64 z (sqrt.f64 y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 z z))) 3) |
(pow.f64 (pow.f64 (*.f64 y (*.f64 z z)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 z 4) (*.f64 y y))) |
(log.f64 (pow.f64 (exp.f64 (*.f64 z z)) y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 z z))))) |
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 z z)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 z z)))) |
(exp.f64 (log.f64 (*.f64 y (*.f64 z z)))) |
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 z z)))) |
(+.f64 (*.f64 (/.f64 1 x) (*.f64 y (*.f64 z z))) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)) |
(+.f64 (*.f64 (/.f64 1 x) 83333333333333/1000000000000000) (*.f64 (/.f64 1 x) (*.f64 y (*.f64 z z)))) |
(+.f64 (*.f64 (*.f64 y (*.f64 z z)) (/.f64 1 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (*.f64 y (*.f64 z z)) (/.f64 1 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x))) 1) |
(*.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (/.f64 1 x)) |
(*.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 1) |
(*.f64 1 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) |
(*.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) (/.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) x)) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) (sqrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 2) (/.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) x)) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x))) |
(*.f64 (/.f64 1 x) (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) |
(*.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 y (*.f64 z z))) (/.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) x) (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) x) (/.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) x) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) x) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 2) 1)) |
(*.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (cbrt.f64 x))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 x) (-.f64 -83333333333333/1000000000000000 (*.f64 y (*.f64 z z)))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) x)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 2) x) (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 2))) (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000))) |
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) -6944444444444388888888888889/1000000000000000000000000000000) x) (+.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) -6944444444444388888888888889/1000000000000000000000000000000)) (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) |
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) -6944444444444388888888888889/1000000000000000000000000000000) x) (-.f64 (pow.f64 (*.f64 y (*.f64 z z)) 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000)) (+.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) (*.f64 83333333333333/1000000000000000 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)))) |
(*.f64 (/.f64 (/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (*.f64 z z)) 3)) x) (-.f64 (*.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) (*.f64 (pow.f64 z 4) (*.f64 y y))) (*.f64 (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) -83333333333333/1000000000000000)) (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) -83333333333333/1000000000000000))))) (-.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) -83333333333333/1000000000000000)))) |
(*.f64 (/.f64 (/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (*.f64 z z)) 3)) x) (+.f64 (pow.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) 3) (pow.f64 (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) -83333333333333/1000000000000000)) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) (*.f64 (pow.f64 z 4) (*.f64 y y))) (*.f64 (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) -83333333333333/1000000000000000)) (-.f64 (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) -83333333333333/1000000000000000)) (*.f64 (pow.f64 z 4) (*.f64 y y)))))) |
(pow.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 3) 1/3) |
(pow.f64 (/.f64 x (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) -1) |
(neg.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (neg.f64 x))) |
(neg.f64 (/.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 y (*.f64 z z))) x)) |
(neg.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (neg.f64 x)) 1)) |
(neg.f64 (*.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (/.f64 -1 x))) |
(neg.f64 (*.f64 1 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (neg.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 2)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x))) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x))) |
| Outputs |
|---|
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(/.f64 83333333333333/1000000000000000 x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 y (/.f64 x (*.f64 z z))) |
(*.f64 (/.f64 y x) (*.f64 z z)) |
(*.f64 (*.f64 z z) (/.f64 y x)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 y (/.f64 x (*.f64 z z))) |
(*.f64 (/.f64 y x) (*.f64 z z)) |
(*.f64 (*.f64 z z) (/.f64 y x)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(/.f64 83333333333333/1000000000000000 x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 y (/.f64 x (*.f64 z z))) |
(*.f64 (/.f64 y x) (*.f64 z z)) |
(*.f64 (*.f64 z z) (/.f64 y x)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 y (/.f64 x (*.f64 z z))) |
(*.f64 (/.f64 y x) (*.f64 z z)) |
(*.f64 (*.f64 z z) (/.f64 y x)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 y (pow.f64 z 2))) x) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 y (pow.f64 z 2))) x) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 y (pow.f64 z 2))) x) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
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(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z z)) 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000) (*.f64 x (-.f64 (*.f64 (pow.f64 z 8) (*.f64 y (pow.f64 y 3))) (*.f64 (fma.f64 y (*.f64 z (*.f64 z -83333333333333/1000000000000000)) 6944444444444388888888888889/1000000000000000000000000000000) (fma.f64 y (*.f64 z (*.f64 z -83333333333333/1000000000000000)) 6944444444444388888888888889/1000000000000000000000000000000))))) (-.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) (fma.f64 y (*.f64 z (*.f64 z -83333333333333/1000000000000000)) 6944444444444388888888888889/1000000000000000000000000000000))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z z)) 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000) (*.f64 x (fma.f64 (pow.f64 z 8) (*.f64 y (pow.f64 y 3)) (*.f64 (fma.f64 y (*.f64 z (*.f64 z -83333333333333/1000000000000000)) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 -6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) (*.f64 y -83333333333333/1000000000000000))))))) (+.f64 -6944444444444388888888888889/1000000000000000000000000000000 (*.f64 y (-.f64 (*.f64 y (pow.f64 z 4)) (*.f64 z (*.f64 z -83333333333333/1000000000000000)))))) |
(*.f64 (/.f64 (/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (*.f64 z z)) 3)) x) (+.f64 (pow.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) 3) (pow.f64 (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) -83333333333333/1000000000000000)) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) (*.f64 (pow.f64 z 4) (*.f64 y y))) (*.f64 (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) -83333333333333/1000000000000000)) (-.f64 (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) -83333333333333/1000000000000000)) (*.f64 (pow.f64 z 4) (*.f64 y y)))))) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z z)) 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000) x) (+.f64 (pow.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) 3) (pow.f64 (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 y (*.f64 (*.f64 z z) -83333333333333/1000000000000000))) 3))) (fma.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) (*.f64 (pow.f64 z 4) (*.f64 y y)) (*.f64 (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 y (*.f64 (*.f64 z z) -83333333333333/1000000000000000))) (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (-.f64 (*.f64 y (*.f64 (*.f64 z z) -83333333333333/1000000000000000)) (*.f64 (pow.f64 z 4) (*.f64 y y))))))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 y (*.f64 z (*.f64 z -83333333333333/1000000000000000)) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (fma.f64 y (*.f64 z (*.f64 z -83333333333333/1000000000000000)) 6944444444444388888888888889/1000000000000000000000000000000) (*.f64 (pow.f64 z 4) (*.f64 y y))) (*.f64 (pow.f64 z 8) (*.f64 y (pow.f64 y 3)))) (+.f64 (pow.f64 (*.f64 y (*.f64 z z)) 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000)) (*.f64 x (+.f64 (pow.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) 3) (pow.f64 (fma.f64 y (*.f64 z (*.f64 z -83333333333333/1000000000000000)) 6944444444444388888888888889/1000000000000000000000000000000) 3)))) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z z)) 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000) x) (+.f64 (pow.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) 3) (pow.f64 (fma.f64 y (*.f64 z (*.f64 z -83333333333333/1000000000000000)) 6944444444444388888888888889/1000000000000000000000000000000) 3))) (fma.f64 (fma.f64 y (*.f64 z (*.f64 z -83333333333333/1000000000000000)) 6944444444444388888888888889/1000000000000000000000000000000) (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) (-.f64 -83333333333333/1000000000000000 (*.f64 y (*.f64 z z))))) (*.f64 (pow.f64 z 8) (*.f64 y (pow.f64 y 3))))) |
(pow.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 1) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) 2) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) 3) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 3) 1/3) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(pow.f64 (/.f64 x (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) -1) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(neg.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (neg.f64 x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(neg.f64 (/.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 y (*.f64 z z))) x)) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(neg.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (neg.f64 x)) 1)) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(neg.f64 (*.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (/.f64 -1 x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(neg.f64 (*.f64 1 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (neg.f64 x)))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 2)) |
(fabs.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 3)) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(exp.f64 (log.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x))) |
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
| ✓ | 0.3b | (/.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x)) |
| ✓ | 0.4b | (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) |
Compiled 30 to 18 computations (40% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) |
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x)) |
| 1.0ms | x | @ | -inf | (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) |
| 0.0ms | z | @ | 0 | (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) |
| 0.0ms | z | @ | inf | (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) |
| 1× | batch-egg-rewrite |
| 1546× | associate-/l* |
| 1398× | associate-*r/ |
| 1102× | *-commutative |
| 1020× | associate-*l/ |
| 364× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 43 |
| 1 | 248 | 43 |
| 2 | 3115 | 43 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) |
(/.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x)) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
| Outputs |
|---|
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egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 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#<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))))))) |
| 1× | egg-herbie |
| 1300× | associate-/r/ |
| 596× | associate-/l* |
| 488× | associate-*r* |
| 452× | associate-*l* |
| 414× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 289 | 4967 |
| 1 | 689 | 4591 |
| 2 | 3837 | 4575 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x))) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(/.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 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(*.f64 -1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(*.f64 -1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(*.f64 -1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(*.f64 -1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
83333333333333/1000000000000000 |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
(*.f64 -13888888888889/5000000000000000 z) |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
(*.f64 -13888888888889/5000000000000000 z) |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 (*.f64 (pow.f64 x -1/2) 83333333333333/1000000000000000) (*.f64 (pow.f64 x -1/2) (*.f64 -13888888888889/5000000000000000 z))) |
(+.f64 (*.f64 (pow.f64 x -1/2) (*.f64 -13888888888889/5000000000000000 z)) (*.f64 (pow.f64 x -1/2) 83333333333333/1000000000000000)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)))) 1) |
(*.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (pow.f64 x -1/2)) |
(*.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) 1) |
(*.f64 1 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) (/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 1)) |
(*.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2) x))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2) x)) (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (/.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (sqrt.f64 x))) |
(*.f64 (pow.f64 x -1/2) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) |
(*.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) (/.f64 1 (neg.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (pow.f64 x 1/4))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (pow.f64 x 1/4)) (/.f64 1 (pow.f64 x 1/4))) |
(*.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (cbrt.f64 (sqrt.f64 x))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 x))) (-.f64 -83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 1) (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (cbrt.f64 (sqrt.f64 x))) (/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (sqrt.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (pow.f64 x 1/4))) |
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(sqrt.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2)) |
(log.f64 (exp.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))) |
(cbrt.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) |
(exp.f64 (log.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) |
(log1p.f64 (expm1.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) |
| Outputs |
|---|
(*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x))) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 -13888888888889/5000000000000000 (*.f64 (sqrt.f64 (/.f64 1 x)) z) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 -13888888888889/5000000000000000 (*.f64 (sqrt.f64 (/.f64 1 x)) z) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 -13888888888889/5000000000000000 (*.f64 (sqrt.f64 (/.f64 1 x)) z) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) |
(*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -13888888888889/5000000000000000 (*.f64 (sqrt.f64 (/.f64 1 x)) z)) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 -13888888888889/5000000000000000 (*.f64 (sqrt.f64 (/.f64 1 x)) z) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 -13888888888889/5000000000000000 (*.f64 (sqrt.f64 (/.f64 1 x)) z) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 -13888888888889/5000000000000000 (*.f64 (sqrt.f64 (/.f64 1 x)) z) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) |
(*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -13888888888889/5000000000000000 (*.f64 (sqrt.f64 (/.f64 1 x)) z)) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 -13888888888889/5000000000000000 (*.f64 (sqrt.f64 (/.f64 1 x)) z) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 -13888888888889/5000000000000000 (*.f64 (sqrt.f64 (/.f64 1 x)) z) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) |
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 -13888888888889/5000000000000000 (*.f64 (sqrt.f64 (/.f64 1 x)) z) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) |
(/.f64 83333333333333/1000000000000000 x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(*.f64 -1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(*.f64 -1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(*.f64 -1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(*.f64 -1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
83333333333333/1000000000000000 |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(*.f64 -13888888888889/5000000000000000 z) |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(*.f64 -13888888888889/5000000000000000 z) |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(+.f64 (*.f64 (pow.f64 x -1/2) 83333333333333/1000000000000000) (*.f64 (pow.f64 x -1/2) (*.f64 -13888888888889/5000000000000000 z))) |
(*.f64 (pow.f64 x -1/2) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) |
(+.f64 (*.f64 (pow.f64 x -1/2) (*.f64 -13888888888889/5000000000000000 z)) (*.f64 (pow.f64 x -1/2) 83333333333333/1000000000000000)) |
(*.f64 (pow.f64 x -1/2) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)))) 1) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) |
(*.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (pow.f64 x -1/2)) |
(*.f64 (pow.f64 x -1/2) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) |
(*.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) 1) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) |
(*.f64 1 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)))) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) (/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 1)) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) |
(*.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2) x))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (cbrt.f64 x))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2) x)) (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2) x))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (/.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (sqrt.f64 x))) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) |
(*.f64 (pow.f64 x -1/2) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) |
(*.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) (/.f64 1 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (pow.f64 x 1/4))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 x 1/4)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (pow.f64 x 1/4)) |
(/.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (pow.f64 x 1/4)) (pow.f64 x 1/4)) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (*.f64 (pow.f64 x 1/4) (pow.f64 x 1/4))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (cbrt.f64 (sqrt.f64 x))) 1) (cbrt.f64 x)) |
(/.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x)) |
(/.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(*.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (pow.f64 x 1/4)) (/.f64 1 (pow.f64 x 1/4))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 x 1/4)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (pow.f64 x 1/4)) |
(/.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (pow.f64 x 1/4)) (pow.f64 x 1/4)) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (*.f64 (pow.f64 x 1/4) (pow.f64 x 1/4))) |
(*.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (cbrt.f64 (sqrt.f64 x))) (/.f64 1 (cbrt.f64 x))) |
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(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(pow.f64 (/.f64 x (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) -1) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(neg.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) 2)) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(log.f64 (exp.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) 3)) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 3) (pow.f64 x 3))) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(exp.f64 (log.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))) |
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(+.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) 1) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(*.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 1) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(*.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(*.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(*.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2)) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(/.f64 (-.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (*.f64 -13888888888889/5000000000000000 z)) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) |
(/.f64 (+.f64 (*.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z)) -6944444444444388888888888889/1000000000000000000000000000000) (fma.f64 -13888888888889/5000000000000000 z -83333333333333/1000000000000000)) |
(/.f64 (fma.f64 (*.f64 z 192901234567904320987654321/25000000000000000000000000000000) z -6944444444444388888888888889/1000000000000000000000000000000) (fma.f64 -13888888888889/5000000000000000 z -83333333333333/1000000000000000)) |
(/.f64 (fma.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z) -6944444444444388888888888889/1000000000000000000000000000000) (fma.f64 -13888888888889/5000000000000000 z -83333333333333/1000000000000000)) |
(/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 -13888888888889/5000000000000000 z) 3)) (-.f64 (+.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (*.f64 -13888888888889/5000000000000000 z)) 6944444444444388888888888889/1000000000000000000000000000000) (*.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)))) |
(/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 (*.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z)) (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z)))) |
(/.f64 (fma.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 z 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000) (fma.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z) (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 1157407407407412037037037037/5000000000000000000000000000000 z)))) |
(/.f64 (fma.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 z 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000) (fma.f64 1157407407407412037037037037/5000000000000000000000000000000 z (fma.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z) 6944444444444388888888888889/1000000000000000000000000000000))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (*.f64 -13888888888889/5000000000000000 z)) 6944444444444388888888888889/1000000000000000000000000000000)) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) |
(/.f64 (+.f64 (*.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z)) -6944444444444388888888888889/1000000000000000000000000000000) (fma.f64 -13888888888889/5000000000000000 z -83333333333333/1000000000000000)) |
(/.f64 (fma.f64 (*.f64 z 192901234567904320987654321/25000000000000000000000000000000) z -6944444444444388888888888889/1000000000000000000000000000000) (fma.f64 -13888888888889/5000000000000000 z -83333333333333/1000000000000000)) |
(/.f64 (fma.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z) -6944444444444388888888888889/1000000000000000000000000000000) (fma.f64 -13888888888889/5000000000000000 z -83333333333333/1000000000000000)) |
(/.f64 (*.f64 1 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 -13888888888889/5000000000000000 z) 3))) (-.f64 (+.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (*.f64 -13888888888889/5000000000000000 z)) 6944444444444388888888888889/1000000000000000000000000000000) (*.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)))) |
(/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 (*.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z)) (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z)))) |
(/.f64 (fma.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 z 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000) (fma.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z) (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 1157407407407412037037037037/5000000000000000000000000000000 z)))) |
(/.f64 (fma.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 z 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000) (fma.f64 1157407407407412037037037037/5000000000000000000000000000000 z (fma.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z) 6944444444444388888888888889/1000000000000000000000000000000))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (*.f64 -13888888888889/5000000000000000 z)) 6944444444444388888888888889/1000000000000000000000000000000) 1) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) |
(/.f64 (+.f64 (*.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z)) -6944444444444388888888888889/1000000000000000000000000000000) (fma.f64 -13888888888889/5000000000000000 z -83333333333333/1000000000000000)) |
(/.f64 (fma.f64 (*.f64 z 192901234567904320987654321/25000000000000000000000000000000) z -6944444444444388888888888889/1000000000000000000000000000000) (fma.f64 -13888888888889/5000000000000000 z -83333333333333/1000000000000000)) |
(/.f64 (fma.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z) -6944444444444388888888888889/1000000000000000000000000000000) (fma.f64 -13888888888889/5000000000000000 z -83333333333333/1000000000000000)) |
(/.f64 (*.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 -13888888888889/5000000000000000 z) 3)) 1) (-.f64 (+.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (*.f64 -13888888888889/5000000000000000 z)) 6944444444444388888888888889/1000000000000000000000000000000) (*.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)))) |
(/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 (*.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z)) (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z)))) |
(/.f64 (fma.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 z 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000) (fma.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z) (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 1157407407407412037037037037/5000000000000000000000000000000 z)))) |
(/.f64 (fma.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 z 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000) (fma.f64 1157407407407412037037037037/5000000000000000000000000000000 z (fma.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z) 6944444444444388888888888889/1000000000000000000000000000000))) |
(pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 1) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(pow.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 3) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(pow.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 3) 1/3) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(sqrt.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2)) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(log.f64 (exp.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(cbrt.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 3)) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(expm1.f64 (log1p.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(exp.f64 (log.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
(log1p.f64 (expm1.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) |
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) |
Compiled 28123 to 16578 computations (41.1% saved)
51 alts after pruning (45 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 890 | 17 | 907 |
| Fresh | 9 | 28 | 37 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 6 | 7 |
| Total | 901 | 51 | 952 |
| Status | Error | Program |
|---|---|---|
| 43.2b | (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) | |
| 31.0b | (pow.f64 (sqrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 2) | |
| 43.5b | (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) 3) | |
| 43.5b | (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3) | |
| 31.0b | (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 3) | |
| 43.3b | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x) | |
| 43.3b | (/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x) | |
| 43.2b | (/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x) | |
| 43.3b | (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x)) | |
| ✓ | 43.2b | (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
| 31.1b | (/.f64 (*.f64 (fma.f64 (log.f64 x) (log.f64 x) -1) x) (+.f64 (log.f64 x) 1)) | |
| 43.3b | (/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x) | |
| 43.5b | (/.f64 (*.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))) x) | |
| 62.3b | (/.f64 (*.f64 -13888888888889/5000000000000000 z) x) | |
| 30.6b | (/.f64 x (/.f64 (+.f64 (log.f64 x) 1) (fma.f64 (log.f64 x) (log.f64 x) -1))) | |
| ✓ | 43.2b | (/.f64 83333333333333/1000000000000000 x) |
| 62.3b | (/.f64 -13888888888889/5000000000000000 (/.f64 x z)) | |
| 10.5b | (-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x) | |
| 43.6b | (-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) | |
| 30.5b | (-.f64 (*.f64 x (log.f64 x)) x) | |
| 43.2b | (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) | |
| 32.2b | (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) | |
| ✓ | 6.7b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| 10.4b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| ✓ | 10.7b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
| 25.7b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) | |
| 28.2b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 y (/.f64 x (*.f64 z z)))) | |
| 24.6b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) | |
| 29.5b | (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 y x) (*.f64 z z))) | |
| 10.7b | (+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 31.5b | (+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 10.5b | (+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) (/.f64 83333333333333/1000000000000000 x)) | |
| 10.4b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) | |
| 27.2b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) | |
| ✓ | 10.5b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
| 23.8b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) | |
| 43.8b | (+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 13.5b | (+.f64 (+.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 43.7b | (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) | |
| 11.4b | (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) | |
| 43.6b | (*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))) | |
| 30.6b | (*.f64 (/.f64 x (+.f64 (log.f64 x) 1)) (+.f64 -1 (pow.f64 (log.f64 x) 2))) | |
| 43.2b | (*.f64 (/.f64 1 x) 83333333333333/1000000000000000) | |
| 62.3b | (*.f64 (/.f64 -13888888888889/5000000000000000 x) z) | |
| 43.2b | (*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) | |
| 30.6b | (*.f64 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 (log.f64 x) (fma.f64 (log.f64 x) (log.f64 x) 1)))) | |
| 30.6b | (*.f64 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) 1))) | |
| ✓ | 30.5b | (*.f64 x (+.f64 (log.f64 x) -1)) |
| 62.3b | (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) | |
| 52.2b | (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) | |
| 33.4b | (expm1.f64 (log1p.f64 (*.f64 x (+.f64 (log.f64 x) -1)))) |
Compiled 777 to 580 computations (25.4% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(/.f64 -13888888888889/5000000000000000 (/.f64 x z)) |
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x) |
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 y x) (*.f64 z z))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) 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 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 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 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 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.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 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))) x) |
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (/.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 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3) |
(/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 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) (log.f64 x)) x) 91893853320467/100000000000000) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (*.f64 (*.f64 z z) y) x)) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) |
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 3) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) 3) |
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 2) |
(/.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) 1))) |
(*.f64 (/.f64 x (+.f64 (log.f64 x) 1)) (+.f64 -1 (pow.f64 (log.f64 x) 2))) |
(+.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)) |
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (expm1.f64 (log1p.f64 (-.f64 (*.f64 x (log.f64 x)) x))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) (/.f64 83333333333333/1000000000000000 x)) |
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(+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 3) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z 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)) |
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(+.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
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(/.f64 x (/.f64 (+.f64 (log.f64 x) 1) (fma.f64 (log.f64 x) (log.f64 x) -1))) |
(/.f64 (*.f64 (fma.f64 (log.f64 x) (log.f64 x) -1) x) (+.f64 (log.f64 x) 1)) |
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(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 (log.f64 x) (fma.f64 (log.f64 x) (log.f64 x) 1)))) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))) |
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(+.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))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))) |
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)))) 1) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
| Outputs |
|---|
(+.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 x (+.f64 (log.f64 x) -1)) |
7 calls:
| 271.0ms | z |
| 137.0ms | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 130.0ms | (+.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)) |
| 122.0ms | x |
| 60.0ms | (+.f64 y 7936500793651/10000000000000000) |
| Error | Segments | Branch |
|---|---|---|
| 2.5b | 2 | x |
| 5.8b | 1 | y |
| 2.9b | 3 | z |
| 3.1b | 2 | (+.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)) |
| 3.1b | 2 | (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) |
| 3.1b | 2 | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 5.8b | 1 | (+.f64 y 7936500793651/10000000000000000) |
Compiled 1709 to 1044 computations (38.9% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 2.5009535161634925e+139 | 6.461738850202048e+140 |
| 2.0ms | 16× | body | 256 | valid |
| 0.0ms | 1× | body | 256 | infinite |
Compiled 69 to 52 computations (24.6% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(/.f64 -13888888888889/5000000000000000 (/.f64 x z)) |
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x) |
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 y x) (*.f64 z z))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) 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 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 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 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 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.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 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))) x) |
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (/.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 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3) |
(/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 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) (log.f64 x)) x) 91893853320467/100000000000000) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (*.f64 (*.f64 z z) y) x)) |
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) |
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (log.f64 x) -1)))) |
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 3) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) 3) |
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 2) |
(/.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) 1))) |
(*.f64 (/.f64 x (+.f64 (log.f64 x) 1)) (+.f64 -1 (pow.f64 (log.f64 x) 2))) |
(+.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)) |
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (expm1.f64 (log1p.f64 (-.f64 (*.f64 x (log.f64 x)) x))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 3) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z 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 x (+.f64 (log.f64 x) -1)) |
7 calls:
| 151.0ms | z |
| 149.0ms | x |
| 90.0ms | (+.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)) |
| 77.0ms | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 52.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 2.5b | 2 | x |
| 5.8b | 1 | y |
| 3.0b | 3 | z |
| 3.1b | 2 | (+.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)) |
| 3.1b | 2 | (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) |
| 3.1b | 2 | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 5.8b | 1 | (+.f64 y 7936500793651/10000000000000000) |
Compiled 967 to 575 computations (40.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 2.5009535161634925e+139 | 6.461738850202048e+140 |
| 10.0ms | 64× | body | 256 | valid |
| 0.0ms | 2× | body | 256 | infinite |
Compiled 185 to 141 computations (23.8% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(/.f64 -13888888888889/5000000000000000 (/.f64 x z)) |
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x) |
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 y x) (*.f64 z z))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) 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 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 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 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 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.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 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))) x) |
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (/.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 y (/.f64 x (*.f64 z z)))) |
(+.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 (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) |
6 calls:
| 129.0ms | z |
| 118.0ms | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 44.0ms | x |
| 22.0ms | (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) |
| 21.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 3.4b | 2 | x |
| 6.7b | 1 | y |
| 3.9b | 3 | z |
| 2.4b | 4 | (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) |
| 2.4b | 4 | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 6.7b | 1 | (+.f64 y 7936500793651/10000000000000000) |
Compiled 554 to 323 computations (41.7% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.334303489729413e+299 | 1.8147898730278337e+307 |
| 0.0ms | 3.411091036248951e-23 | 2.939427392244247e-22 |
| 0.0ms | -1725781216259639.8 | -3.163624457615543e-8 |
Compiled 33 to 25 computations (24.2% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(/.f64 -13888888888889/5000000000000000 (/.f64 x z)) |
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x) |
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 y x) (*.f64 z z))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) 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 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 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 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 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.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 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) |
6 calls:
| 101.0ms | x |
| 101.0ms | z |
| 89.0ms | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 41.0ms | (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) |
| 40.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 3.4b | 2 | x |
| 6.7b | 1 | y |
| 3.9b | 3 | z |
| 2.4b | 4 | (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) |
| 2.4b | 4 | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 6.7b | 1 | (+.f64 y 7936500793651/10000000000000000) |
Compiled 485 to 274 computations (43.5% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.334303489729413e+299 | 1.8147898730278337e+307 |
| 0.0ms | 5.4805443065321785e-205 | 6.532327502069022e-205 |
| 0.0ms | -1725781216259639.8 | -3.163624457615543e-8 |
Compiled 33 to 25 computations (24.2% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(/.f64 -13888888888889/5000000000000000 (/.f64 x z)) |
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x) |
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 y x) (*.f64 z z))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) 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 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 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 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 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
| Outputs |
|---|
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
3 calls:
| 162.0ms | z |
| 123.0ms | x |
| 76.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 3.9b | 3 | x |
| 6.5b | 3 | y |
| 3.0b | 5 | z |
Compiled 433 to 239 computations (44.8% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 89.0ms | 1.8354557959205964e+143 | 1.4350349726484776e+151 |
| 50.0ms | 1.138908510774239e-5 | 718.6270972430087 |
| 32.0ms | -2.352701921898751e+21 | -19931910843914416.0 |
| 51.0ms | -5.842234755580203e+155 | -4.451168218479375e+144 |
| 124.0ms | 592× | body | 256 | valid |
| 88.0ms | 280× | body | 256 | infinite |
Compiled 1403 to 952 computations (32.1% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(/.f64 -13888888888889/5000000000000000 (/.f64 x z)) |
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x) |
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 y x) (*.f64 z z))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) |
| Outputs |
|---|
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) 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 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
3 calls:
| 66.0ms | z |
| 42.0ms | x |
| 39.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 5.5b | 3 | x |
| 8.9b | 2 | y |
| 4.6b | 5 | z |
Compiled 307 to 178 computations (42% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 73.0ms | 1.8354557959205964e+143 | 1.4350349726484776e+151 |
| 25.0ms | 1.138908510774239e-5 | 718.6270972430087 |
| 35.0ms | -1.0097095039314777e-15 | -8.960470960724163e-16 |
| 55.0ms | -5.842234755580203e+155 | -4.451168218479375e+144 |
| 133.0ms | 480× | body | 256 | valid |
| 47.0ms | 269× | body | 256 | infinite |
Compiled 1101 to 781 computations (29.1% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(/.f64 -13888888888889/5000000000000000 (/.f64 x z)) |
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x) |
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 y x) (*.f64 z z))) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000))) |
| Outputs |
|---|
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 y x) (*.f64 z z))) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
3 calls:
| 92.0ms | x |
| 42.0ms | z |
| 38.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 7.6b | 3 | x |
| 8.9b | 2 | y |
| 8.8b | 3 | z |
Compiled 259 to 162 computations (37.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.6154133261227583e+182 | 4.511225855008564e+184 |
| 15.0ms | 314848498332.9459 | 825274862197.7295 |
| 23.0ms | 144× | body | 256 | valid |
| 1.0ms | 7× | body | 256 | infinite |
Compiled 325 to 226 computations (30.5% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(/.f64 -13888888888889/5000000000000000 (/.f64 x z)) |
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x) |
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
| Outputs |
|---|
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
3 calls:
| 43.0ms | x |
| 30.0ms | z |
| 12.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 10.5b | 1 | x |
| 10.5b | 1 | y |
| 10.5b | 1 | z |
Compiled 215 to 145 computations (32.6% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(/.f64 -13888888888889/5000000000000000 (/.f64 x z)) |
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x) |
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x) |
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x)) |
3 calls:
| 41.0ms | x |
| 11.0ms | y |
| 11.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 11.4b | 1 | x |
| 11.4b | 1 | y |
| 11.4b | 1 | z |
Compiled 201 to 136 computations (32.3% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(/.f64 -13888888888889/5000000000000000 (/.f64 x z)) |
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x) |
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
3 calls:
| 97.0ms | z |
| 26.0ms | y |
| 19.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 11.1b | 2 | x |
| 29.4b | 3 | y |
| 25.8b | 7 | z |
Compiled 155 to 108 computations (30.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 505.2873250891702 | 1236.0055880401685 |
| 12.0ms | 80× | body | 256 | valid |
| 1.0ms | 10× | body | 256 | infinite |
Compiled 153 to 125 computations (18.3% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(/.f64 -13888888888889/5000000000000000 (/.f64 x z)) |
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x) |
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
(-.f64 (*.f64 x (log.f64 x)) x) |
| Outputs |
|---|
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(*.f64 x (+.f64 (log.f64 x) -1)) |
3 calls:
| 125.0ms | z |
| 24.0ms | y |
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 11.4b | 2 | x |
| 29.4b | 3 | y |
| 26.0b | 7 | z |
Compiled 145 to 101 computations (30.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 505.2873250891702 | 1236.0055880401685 |
| 13.0ms | 80× | body | 256 | valid |
| 3.0ms | 7× | body | 256 | infinite |
Compiled 128 to 105 computations (18% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(/.f64 -13888888888889/5000000000000000 (/.f64 x z)) |
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x) |
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) |
| Outputs |
|---|
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
3 calls:
| 10.0ms | z |
| 8.0ms | y |
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 43.2b | 1 | x |
| 43.2b | 1 | y |
| 43.2b | 1 | z |
Compiled 133 to 95 computations (28.6% saved)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(/.f64 -13888888888889/5000000000000000 (/.f64 x z)) |
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x) |
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x) |
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x) |
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x) |
| Outputs |
|---|
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
3 calls:
| 9.0ms | z |
| 8.0ms | x |
| 8.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 43.2b | 1 | x |
| 43.2b | 1 | y |
| 43.2b | 1 | z |
Compiled 122 to 87 computations (28.7% saved)
Total -19.2b remaining (-44.5%)
Threshold costs -19.2b (-44.5%)
| Inputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 -13888888888889/5000000000000000 (/.f64 z x)) |
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z) |
| Outputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
3 calls:
| 4.0ms | y |
| 3.0ms | z |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 43.2b | 1 | x |
| 43.2b | 1 | y |
| 43.2b | 1 | z |
Compiled 28 to 20 computations (28.6% saved)
| 1× | egg-herbie |
| 56× | +-commutative |
| 30× | *-commutative |
| 12× | sub-neg |
| 2× | 1-exp |
| 2× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 1592 |
| 1 | 177 | 1592 |
| 2 | 182 | 1592 |
| 3 | 184 | 1592 |
| 4 | 185 | 1592 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x 50000000000000002964190062040743501853181244383522664432425037241499788914236990326011648254009062284575896118646691474114848581757291200512) (+.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 x (+.f64 (log.f64 x) -1))) |
(if (<=.f64 x 200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048) (+.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 x (+.f64 (log.f64 x) -1))) |
(if (<=.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -1000000000000000) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 4253529586511731/85070591730234615865843651857942052864) (+.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)))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))))) |
(if (<=.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -1000000000000000) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 3388816750449861/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))))) |
(if (<=.f64 z -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) (if (<=.f64 z -20000000000000000) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (if (<=.f64 z 21/2) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) (if (<=.f64 z 13999999999999999368278984266319798993361776252422195926455626998498371430106400571348531703928134464382303486844681295786677649503828688507966414913536) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (*.f64 x (+.f64 (log.f64 x) -1)))))) |
(if (<=.f64 z -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) (if (<=.f64 z -2535301200456459/2535301200456458802993406410752) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (if (<=.f64 z 8854437155380585/147573952589676412928) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (if (<=.f64 z 13999999999999999368278984266319798993361776252422195926455626998498371430106400571348531703928134464382303486844681295786677649503828688507966414913536) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (*.f64 x (+.f64 (log.f64 x) -1)))))) |
(if (<=.f64 x 620000000000) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (if (<=.f64 x 5000000000000000086783342084845643467613376308747652806184221615609263692738120562462065350159422529699348815841086237667836300331874146296123705395840026921093256846344688312059428864) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 y x) (*.f64 z z))) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x)) |
(if (<=.f64 x 510) (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (*.f64 x (+.f64 (log.f64 x) -1))) |
(if (<=.f64 x 510) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) (*.f64 x (+.f64 (log.f64 x) -1))) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(/.f64 83333333333333/1000000000000000 x) |
| Outputs |
|---|
(if (<=.f64 x 50000000000000002964190062040743501853181244383522664432425037241499788914236990326011648254009062284575896118646691474114848581757291200512) (+.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 x (+.f64 (log.f64 x) -1))) |
(if (<=.f64 x 50000000000000002964190062040743501853181244383522664432425037241499788914236990326011648254009062284575896118646691474114848581757291200512) (+.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))) (*.f64 x (+.f64 (log.f64 x) -1))) |
(if (<=.f64 x 200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048) (+.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 x (+.f64 (log.f64 x) -1))) |
(if (<=.f64 x 200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))) x)) (*.f64 x (+.f64 (log.f64 x) -1))) |
(if (<=.f64 x 200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x)) (*.f64 x (+.f64 (log.f64 x) -1))) |
(if (<=.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -1000000000000000) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 4253529586511731/85070591730234615865843651857942052864) (+.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)))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))))) |
(if (<=.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) -1000000000000000) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) (/.f64 y (/.f64 x (*.f64 z z)))) (if (<=.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 4253529586511731/85070591730234615865843651857942052864) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) (if (<=.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160) (+.f64 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))) x) (-.f64 (*.f64 x (log.f64 x)) x)) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z -13888888888889/5000000000000000)) x))))) |
(if (<=.f64 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000)))) -1000000000000000) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) (/.f64 y (/.f64 x (*.f64 z z)))) (if (<=.f64 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000)))) 4253529586511731/85070591730234615865843651857942052864) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) (if (<=.f64 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000)))) 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160) (+.f64 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x) (-.f64 (*.f64 x (log.f64 x)) x)) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z -13888888888889/5000000000000000)) x))))) |
(if (<=.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -1000000000000000) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 3388816750449861/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))))) |
(if (<=.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) -1000000000000000) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) (/.f64 y (/.f64 x (*.f64 z z)))) (if (<=.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 3388816750449861/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x))) (if (<=.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160) (+.f64 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))) x) (-.f64 (*.f64 x (log.f64 x)) x)) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z -13888888888889/5000000000000000)) x))))) |
(if (<=.f64 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000)))) -1000000000000000) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) (/.f64 y (/.f64 x (*.f64 z z)))) (if (<=.f64 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000)))) 3388816750449861/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x))) (if (<=.f64 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000)))) 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160) (+.f64 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x) (-.f64 (*.f64 x (log.f64 x)) x)) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z -13888888888889/5000000000000000)) x))))) |
(if (<=.f64 z -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) (if (<=.f64 z -20000000000000000) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (if (<=.f64 z 21/2) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) (if (<=.f64 z 13999999999999999368278984266319798993361776252422195926455626998498371430106400571348531703928134464382303486844681295786677649503828688507966414913536) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (*.f64 x (+.f64 (log.f64 x) -1)))))) |
(if (<=.f64 z -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z -13888888888889/5000000000000000)) x)) (if (<=.f64 z -20000000000000000) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 (*.f64 z z) x))) (if (<=.f64 z 21/2) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 y (*.f64 z z))) x)) (if (<=.f64 z 13999999999999999368278984266319798993361776252422195926455626998498371430106400571348531703928134464382303486844681295786677649503828688507966414913536) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 (*.f64 z z) x))) (*.f64 x (+.f64 (log.f64 x) -1)))))) |
(if (<=.f64 z -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) (if (<=.f64 z -2535301200456459/2535301200456458802993406410752) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (if (<=.f64 z 8854437155380585/147573952589676412928) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (if (<=.f64 z 13999999999999999368278984266319798993361776252422195926455626998498371430106400571348531703928134464382303486844681295786677649503828688507966414913536) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (*.f64 x (+.f64 (log.f64 x) -1)))))) |
(if (<=.f64 z -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z -13888888888889/5000000000000000)) x)) (if (<=.f64 z -2535301200456459/2535301200456458802993406410752) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 (*.f64 z z) x))) (if (<=.f64 z 8854437155380585/147573952589676412928) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) (/.f64 83333333333333/1000000000000000 x)) (if (<=.f64 z 13999999999999999368278984266319798993361776252422195926455626998498371430106400571348531703928134464382303486844681295786677649503828688507966414913536) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 (*.f64 z z) x))) (*.f64 x (+.f64 (log.f64 x) -1)))))) |
(if (<=.f64 x 620000000000) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (if (<=.f64 x 5000000000000000086783342084845643467613376308747652806184221615609263692738120562462065350159422529699348815841086237667836300331874146296123705395840026921093256846344688312059428864) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 y x) (*.f64 z z))) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(if (<=.f64 x 620000000000) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) (/.f64 83333333333333/1000000000000000 x)) (if (<=.f64 x 5000000000000000086783342084845643467613376308747652806184221615609263692738120562462065350159422529699348815841086237667836300331874146296123705395840026921093256846344688312059428864) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (*.f64 z z) (/.f64 y x))) (*.f64 x (+.f64 (log.f64 x) -1)))) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x)) |
(if (<=.f64 x 510) (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (*.f64 x (+.f64 (log.f64 x) -1))) |
(if (<=.f64 x 510) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))) (*.f64 x (+.f64 (log.f64 x) -1))) |
(if (<=.f64 x 510) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) (*.f64 x (+.f64 (log.f64 x) -1))) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000) |
(*.f64 83333333333333/1000000000000000 (/.f64 1 x)) |
(/.f64 83333333333333/1000000000000000 x) |
Compiled 606 to 396 computations (34.7% saved)
| 4× | egg-herbie |
| 1570× | fma-def |
| 1446× | unswap-sqr |
| 1398× | associate-+l- |
| 1398× | associate-+l- |
| 1364× | associate-+r- |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 464 | 10494 |
| 1 | 1144 | 9342 |
| 2 | 4654 | 9340 |
| 0 | 464 | 10494 |
| 1 | 1144 | 9342 |
| 2 | 4654 | 9340 |
| 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 | 312 | 5933 |
| 1 | 791 | 5517 |
| 2 | 3003 | 4923 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 866 to 594 computations (31.4% saved)
Compiled 567 to 329 computations (42% saved)
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